Quizbank/calcPhyEMqAll/c10

calcPhyEMqAll/c10 ID153478379917

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Exams:  A0  A1  A2   B0  B1  B2   C0  C1  C2   D0  D1  D2   E0  E1  E2   F0  F1  F2   G0  G1  G2   H0  H1  H2   I0  I1  I2   J0  J1  J2   K0  K1  K2   L0  L1  L2   M0  M1  M2   N0  N1  N2   O0  O1  O2   P0  P1  P2   Q0  Q1  Q2   R0  R1  R2   S0  S1  S2   T0  T1  T2   U0  U1  U2   V0  V1  V2   W0  W1  W2   X0  X1  X2   Y0  Y1  Y2   Z0  Z1  Z2

Answers:  A0  A1  A2   B0  B1  B2   C0  C1  C2   D0  D1  D2   E0  E1  E2   F0  F1  F2   G0  G1  G2   H0  H1  H2   I0  I1  I2   J0  J1  J2   K0  K1  K2   L0  L1  L2   M0  M1  M2   N0  N1  N2   O0  O1  O2   P0  P1  P2   Q0  Q1  Q2   R0  R1  R2   S0  S1  S2   T0  T1  T2   U0  U1  U2   V0  V1  V2   W0  W1  W2   X0  X1  X2   Y0  Y1  Y2   Z0  Z1  Z2

78 Tests = 3 versions x 26 variations: Each of the 26 variations (A, B, ...) represents a different random selection of questions taken from the |study guide.The 3 versions (0,1,..) all have the same questions but in different order and with different numerical inputs. Unless all students take  version "0" it is best to reserve it for the instructor because the questions are grouped according to the order in which they appear on the study guide.

Links:  Quizbank/Instructions   |Study guide    file:QB-calcPhyEMqAll-c10.pdf

Contact me at User talk:Guy vandegrift if you need any help.

c10 A0
1) A given battery has a 9 V emf and an internal resistance of 0.141 &Omega;. If it is connected to a 0.663 &Omega; resistor what is the power dissipated by that load?


 * a) 5.674E+01 W
 * b) 6.242E+01 W
 * c) 6.866E+01 W
 * d) 7.553E+01 W
 * e) 8.308E+01 W

2) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 2 15.9 &Omega; resistors and one 10.4 &Omega; resistor. What is the voltage drop across the 10.4 &Omega; resistor?


 * a) 1.709E+00 V
 * b) 1.880E+00 V
 * c) 2.068E+00 V
 * d) 2.275E+00 V
 * e) 2.503E+00 V

3) Three resistors, R1 = 1.31 &Omega;, and R2 = R2 = 2.91 &Omega;, are connected in parallel to a 6.03 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 2.294E+01 W
 * b) 2.523E+01 W
 * c) 2.776E+01 W
 * d) 3.053E+01 W
 * e) 3.359E+01 W

4) In the circuit shown V=17.8 V, R1=2.27 &Omega;, R2=6.79 &Omega;, and R3=15.1 &Omega;. What is the power dissipated by R2?


 * a) 1.446E+01 W
 * b) 1.591E+01 W
 * c) 1.750E+01 W
 * d) 1.925E+01 W
 * e) 2.117E+01 W

5) The resistances in the figure shown are R1= 1.57 &Omega;, R2= 1.25 &Omega;, and R2= 3.38 &Omega;. V1 and V3 are text 0.585 V and 2.91 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.55 V. What is the absolute value of the current through R1?


 * a) 1.427E-01 A
 * b) 1.569E-01 A
 * c) 1.726E-01 A
 * d) 1.899E-01 A
 * e) 2.089E-01 A

6) Two sources of emf &epsilon;1=49.6 V, and  &epsilon;2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 3.055E+00 mA
 * b) 3.360E+00 mA
 * c) 3.696E+00 mA
 * d) 4.066E+00 mA
 * e) 4.472E+00 mA

7) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=16.9 V are oriented as shownin the circuit. The resistances are R1=3.3 k&Omega; and  R2=2.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.34 mA and I4=0.955 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 7.031E+00 V
 * b) 7.734E+00 V
 * c) 8.507E+00 V
 * d) 9.358E+00 V
 * e) 1.029E+01 V

8) Two sources of emf &epsilon;1=24.4 V, and  &epsilon;2=6.73 V are oriented as shownin the circuit. The resistances are R1=5.7 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.36 mA and I4=0.418 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 5.418E+00 V
 * b) 5.960E+00 V
 * c) 6.556E+00 V
 * d) 7.212E+00 V
 * e) 7.933E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 439 V.  If the combined external and internal resistance is 221 &Omega and the capacitance is  54 mF, how long will it take for the capacitor's voltage to reach 350.0 V?


 * a) 1.905E+01 s
 * b) 2.095E+01 s
 * c) 2.304E+01 s
 * d) 2.535E+01 s
 * e) 2.788E+01 s

c10 A1
1) Two sources of emf &epsilon;1=39.4 V, and  &epsilon;2=12.2 V are oriented as shownin the circuit. The resistances are R1=3.84 k&Omega; and  R2=2.01 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.71 mA and I4=0.669 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 8.825E+00 V
 * b) 9.708E+00 V
 * c) 1.068E+01 V
 * d) 1.175E+01 V
 * e) 1.292E+01 V

2) The resistances in the figure shown are R1= 2.74 &Omega;, R2= 1.63 &Omega;, and R2= 2.75 &Omega;. V1 and V3 are text 0.485 V and 2.01 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.555 V. What is the absolute value of the current through R1?


 * a) 1.114E-01 A
 * b) 1.225E-01 A
 * c) 1.348E-01 A
 * d) 1.483E-01 A
 * e) 1.631E-01 A

3) Two sources of emf &epsilon;1=29.3 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=5.65 k&Omega; and  R2=2.68 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.81 mA and I4=0.525 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.717E+00 mA
 * b) 1.888E+00 mA
 * c) 2.077E+00 mA
 * d) 2.285E+00 mA
 * e) 2.514E+00 mA

4) Three resistors, R1 = 1.23 &Omega;, and R2 = R2 = 2.73 &Omega;, are connected in parallel to a 5.41 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.788E+01 W
 * b) 1.967E+01 W
 * c) 2.163E+01 W
 * d) 2.380E+01 W
 * e) 2.617E+01 W

5) In the circuit shown V=10.9 V, R1=1.68 &Omega;, R2=7.52 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * a) 7.827E+00 W
 * b) 8.610E+00 W
 * c) 9.470E+00 W
 * d) 1.042E+01 W
 * e) 1.146E+01 W

6) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 319 V.  If the combined external and internal resistance is 231 &Omega and the capacitance is  64 mF, how long will it take for the capacitor's voltage to reach 175.0 V?


 * a) 9.718E+00 s
 * b) 1.069E+01 s
 * c) 1.176E+01 s
 * d) 1.293E+01 s
 * e) 1.423E+01 s

7) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=14.4 V are oriented as shownin the circuit. The resistances are R1=4.33 k&Omega; and  R2=1.65 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.59 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 9.142E+00 V
 * b) 1.006E+01 V
 * c) 1.106E+01 V
 * d) 1.217E+01 V
 * e) 1.338E+01 V

8) A given battery has a 15 V emf and an internal resistance of 0.113 &Omega;. If it is connected to a 0.645 &Omega; resistor what is the power dissipated by that load?


 * a) 1.898E+02 W
 * b) 2.087E+02 W
 * c) 2.296E+02 W
 * d) 2.526E+02 W
 * e) 2.778E+02 W

9) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * a) 1.234E+00 V
 * b) 1.358E+00 V
 * c) 1.493E+00 V
 * d) 1.643E+00 V
 * e) 1.807E+00 V

c10 A2
1) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 &Omega; resistors and one 9.58 &Omega; resistor. What is the voltage drop across the 9.58 &Omega; resistor?


 * a) 1.677E+00 V
 * b) 1.844E+00 V
 * c) 2.029E+00 V
 * d) 2.231E+00 V
 * e) 2.455E+00 V

2) Two sources of emf &epsilon;1=20.6 V, and  &epsilon;2=9.53 V are oriented as shownin the circuit. The resistances are R1=5.46 k&Omega; and  R2=2.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.5 mA and I4=0.415 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.085E+00 mA
 * b) 1.194E+00 mA
 * c) 1.313E+00 mA
 * d) 1.444E+00 mA
 * e) 1.589E+00 mA

3) The resistances in the figure shown are R1= 1.54 &Omega;, R2= 0.927 &Omega;, and R2= 2.46 &Omega;. V1 and V3 are text 0.632 V and 2.12 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.586 V. What is the absolute value of the current through R1?


 * a) 1.770E-01 A
 * b) 1.947E-01 A
 * c) 2.141E-01 A
 * d) 2.355E-01 A
 * e) 2.591E-01 A

4) Three resistors, R1 = 1.23 &Omega;, and R2 = R2 = 2.73 &Omega;, are connected in parallel to a 5.41 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.788E+01 W
 * b) 1.967E+01 W
 * c) 2.163E+01 W
 * d) 2.380E+01 W
 * e) 2.617E+01 W

5) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=11.5 V are oriented as shownin the circuit. The resistances are R1=2.13 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.11 mA and I4=0.746 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 4.275E+00 V
 * b) 4.703E+00 V
 * c) 5.173E+00 V
 * d) 5.691E+00 V
 * e) 6.260E+00 V

6) In the circuit shown V=17.9 V, R1=1.3 &Omega;, R2=5.1 &Omega;, and R3=12.1 &Omega;. What is the power dissipated by R2?


 * a) 2.543E+01 W
 * b) 2.798E+01 W
 * c) 3.077E+01 W
 * d) 3.385E+01 W
 * e) 3.724E+01 W

7) A given battery has a 14 V emf and an internal resistance of 0.192 &Omega;. If it is connected to a 0.766 &Omega; resistor what is the power dissipated by that load?


 * a) 1.229E+02 W
 * b) 1.352E+02 W
 * c) 1.487E+02 W
 * d) 1.636E+02 W
 * e) 1.799E+02 W

8) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 554 V.  If the combined external and internal resistance is 228 &Omega and the capacitance is  93 mF, how long will it take for the capacitor's voltage to reach 450.0 V?


 * a) 3.224E+01 s
 * b) 3.547E+01 s
 * c) 3.902E+01 s
 * d) 4.292E+01 s
 * e) 4.721E+01 s

9) Two sources of emf &epsilon;1=42.2 V, and  &epsilon;2=17.8 V are oriented as shownin the circuit. The resistances are R1=4.2 k&Omega; and  R2=2.83 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.5 mA and I4=0.749 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.056E+01 V
 * b) 1.161E+01 V
 * c) 1.277E+01 V
 * d) 1.405E+01 V
 * e) 1.545E+01 V

c10 B0
1) A given battery has a 13 V emf and an internal resistance of 0.161 &Omega;. If it is connected to a 0.814 &Omega; resistor what is the power dissipated by that load?


 * a) 1.087E+02 W
 * b) 1.196E+02 W
 * c) 1.316E+02 W
 * d) 1.447E+02 W
 * e) 1.592E+02 W

2) A battery with a terminal voltage of 9.88 V is connected to a circuit consisting of 3 15.9 &Omega; resistors and one 10.8 &Omega; resistor. What is the voltage drop across the 10.8 &Omega; resistor?


 * a) 1.370E+00 V
 * b) 1.507E+00 V
 * c) 1.658E+00 V
 * d) 1.824E+00 V
 * e) 2.006E+00 V

3) Three resistors, R1 = 1.41 &Omega;, and R2 = R2 = 3.17 &Omega;, are connected in parallel to a 5.89 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.681E+01 W
 * b) 1.849E+01 W
 * c) 2.033E+01 W
 * d) 2.237E+01 W
 * e) 2.460E+01 W

4) In the circuit shown V=15.2 V, R1=1.6 &Omega;, R2=7.89 &Omega;, and R3=15.3 &Omega;. What is the power dissipated by R2?


 * a) 1.713E+01 W
 * b) 1.885E+01 W
 * c) 2.073E+01 W
 * d) 2.280E+01 W
 * e) 2.508E+01 W

5) The resistances in the figure shown are R1= 1.1 &Omega;, R2= 1.55 &Omega;, and R2= 2.11 &Omega;. V1 and V3 are text 0.545 V and 3.22 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.744 V. What is the absolute value of the current through R1?


 * a) 1.886E-01 A
 * b) 2.075E-01 A
 * c) 2.282E-01 A
 * d) 2.510E-01 A
 * e) 2.761E-01 A

6) Two sources of emf &epsilon;1=29.5 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=2.45 k&Omega; and  R2=1.96 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.03 mA and I4=0.783 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.247E+00 mA
 * b) 2.472E+00 mA
 * c) 2.719E+00 mA
 * d) 2.991E+00 mA
 * e) 3.290E+00 mA

7) Two sources of emf &epsilon;1=30.6 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.46 k&Omega; and  R2=2.77 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.97 mA and I4=0.643 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 4.986E+00 V
 * b) 5.484E+00 V
 * c) 6.033E+00 V
 * d) 6.636E+00 V
 * e) 7.299E+00 V

8) Two sources of emf &epsilon;1=40.7 V, and  &epsilon;2=12.3 V are oriented as shownin the circuit. The resistances are R1=3.5 k&Omega; and  R2=1.94 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.42 mA and I4=0.932 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.440E+01 V
 * b) 1.584E+01 V
 * c) 1.742E+01 V
 * d) 1.916E+01 V
 * e) 2.108E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 129 V.  If the combined external and internal resistance is 169 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 109.0 V?


 * a) 2.177E+01 s
 * b) 2.394E+01 s
 * c) 2.634E+01 s
 * d) 2.897E+01 s
 * e) 3.187E+01 s

c10 B1
1) Two sources of emf &epsilon;1=30.3 V, and  &epsilon;2=8.6 V are oriented as shownin the circuit. The resistances are R1=3.81 k&Omega; and  R2=2.39 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.38 mA and I4=0.416 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 8.945E+00 V
 * b) 9.840E+00 V
 * c) 1.082E+01 V
 * d) 1.191E+01 V
 * e) 1.310E+01 V

2) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * a) 1.234E+00 V
 * b) 1.358E+00 V
 * c) 1.493E+00 V
 * d) 1.643E+00 V
 * e) 1.807E+00 V

3) Two sources of emf &epsilon;1=40.3 V, and  &epsilon;2=16.8 V are oriented as shownin the circuit. The resistances are R1=2.57 k&Omega; and  R2=2.25 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.96 mA and I4=0.752 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.825E+00 mA
 * b) 2.007E+00 mA
 * c) 2.208E+00 mA
 * d) 2.429E+00 mA
 * e) 2.672E+00 mA

4) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 558 V.  If the combined external and internal resistance is 198 &Omega and the capacitance is  80 mF, how long will it take for the capacitor's voltage to reach 345.0 V?


 * a) 1.146E+01 s
 * b) 1.261E+01 s
 * c) 1.387E+01 s
 * d) 1.525E+01 s
 * e) 1.678E+01 s

5) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.842E+01 W
 * b) 2.026E+01 W
 * c) 2.228E+01 W
 * d) 2.451E+01 W
 * e) 2.696E+01 W

6) Two sources of emf &epsilon;1=21.6 V, and  &epsilon;2=8.59 V are oriented as shownin the circuit. The resistances are R1=4.97 k&Omega; and  R2=1.69 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.2 mA and I4=0.749 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 6.064E+00 V
 * b) 6.670E+00 V
 * c) 7.337E+00 V
 * d) 8.071E+00 V
 * e) 8.878E+00 V

7) In the circuit shown V=16.2 V, R1=2.84 &Omega;, R2=7.06 &Omega;, and R3=13.1 &Omega;. What is the power dissipated by R2?


 * a) 1.418E+01 W
 * b) 1.560E+01 W
 * c) 1.716E+01 W
 * d) 1.887E+01 W
 * e) 2.076E+01 W

8) The resistances in the figure shown are R1= 1.81 &Omega;, R2= 1.18 &Omega;, and R2= 2.62 &Omega;. V1 and V3 are text 0.628 V and 2.54 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.748 V. What is the absolute value of the current through R1?


 * a) 1.552E-01 A
 * b) 1.707E-01 A
 * c) 1.878E-01 A
 * d) 2.065E-01 A
 * e) 2.272E-01 A

9) A given battery has a 10 V emf and an internal resistance of 0.119 &Omega;. If it is connected to a 0.445 &Omega; resistor what is the power dissipated by that load?


 * a) 1.272E+02 W
 * b) 1.399E+02 W
 * c) 1.539E+02 W
 * d) 1.693E+02 W
 * e) 1.862E+02 W

c10 B2
1) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 &Omega; resistors and one 10.2 &Omega; resistor. What is the voltage drop across the 10.2 &Omega; resistor?


 * a) 2.074E+00 V
 * b) 2.282E+00 V
 * c) 2.510E+00 V
 * d) 2.761E+00 V
 * e) 3.037E+00 V

2) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=14.4 V are oriented as shownin the circuit. The resistances are R1=4.33 k&Omega; and  R2=1.65 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.59 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 9.142E+00 V
 * b) 1.006E+01 V
 * c) 1.106E+01 V
 * d) 1.217E+01 V
 * e) 1.338E+01 V

3) Three resistors, R1 = 0.61 &Omega;, and R2 = R2 = 1.35 &Omega;, are connected in parallel to a 7.04 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 7.386E+01 W
 * b) 8.125E+01 W
 * c) 8.937E+01 W
 * d) 9.831E+01 W
 * e) 1.081E+02 W

4) In the circuit shown V=17.5 V, R1=2.34 &Omega;, R2=7.1 &Omega;, and R3=15.3 &Omega;. What is the power dissipated by R2?


 * a) 1.784E+01 W
 * b) 1.963E+01 W
 * c) 2.159E+01 W
 * d) 2.375E+01 W
 * e) 2.612E+01 W

5) Two sources of emf &epsilon;1=17.3 V, and  &epsilon;2=6.46 V are oriented as shownin the circuit. The resistances are R1=2.54 k&Omega; and  R2=2.79 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.1 mA and I4=0.281 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 6.488E+00 V
 * b) 7.137E+00 V
 * c) 7.850E+00 V
 * d) 8.635E+00 V
 * e) 9.499E+00 V

6) A given battery has a 15 V emf and an internal resistance of 0.177 &Omega;. If it is connected to a 0.824 &Omega; resistor what is the power dissipated by that load?


 * a) 1.682E+02 W
 * b) 1.850E+02 W
 * c) 2.035E+02 W
 * d) 2.239E+02 W
 * e) 2.463E+02 W

7) Two sources of emf &epsilon;1=29.3 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=5.65 k&Omega; and  R2=2.68 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.81 mA and I4=0.525 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.717E+00 mA
 * b) 1.888E+00 mA
 * c) 2.077E+00 mA
 * d) 2.285E+00 mA
 * e) 2.514E+00 mA

8) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 569 V.  If the combined external and internal resistance is 137 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 419.0 V?


 * a) 1.043E+01 s
 * b) 1.147E+01 s
 * c) 1.262E+01 s
 * d) 1.388E+01 s
 * e) 1.527E+01 s

9) The resistances in the figure shown are R1= 2.04 &Omega;, R2= 1.19 &Omega;, and R2= 2.5 &Omega;. V1 and V3 are text 0.507 V and 3.07 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.602 V. What is the absolute value of the current through R1?


 * a) 1.401E-01 A
 * b) 1.542E-01 A
 * c) 1.696E-01 A
 * d) 1.865E-01 A
 * e) 2.052E-01 A

c10 C0
1) A given battery has a 14 V emf and an internal resistance of 0.132 &Omega;. If it is connected to a 0.689 &Omega; resistor what is the power dissipated by that load?


 * a) 1.656E+02 W
 * b) 1.821E+02 W
 * c) 2.003E+02 W
 * d) 2.204E+02 W
 * e) 2.424E+02 W

2) A battery with a terminal voltage of 14.6 V is connected to a circuit consisting of 2 21.7 &Omega; resistors and one 14.4 &Omega; resistor. What is the voltage drop across the 14.4 &Omega; resistor?


 * a) 3.637E+00 V
 * b) 4.001E+00 V
 * c) 4.401E+00 V
 * d) 4.841E+00 V
 * e) 5.325E+00 V

3) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.842E+01 W
 * b) 2.026E+01 W
 * c) 2.228E+01 W
 * d) 2.451E+01 W
 * e) 2.696E+01 W

4) In the circuit shown V=18.4 V, R1=1.64 &Omega;, R2=6.56 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * a) 2.470E+01 W
 * b) 2.717E+01 W
 * c) 2.989E+01 W
 * d) 3.288E+01 W
 * e) 3.617E+01 W

5) The resistances in the figure shown are R1= 1.1 &Omega;, R2= 1.55 &Omega;, and R2= 2.11 &Omega;. V1 and V3 are text 0.545 V and 3.22 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.744 V. What is the absolute value of the current through R1?


 * a) 1.886E-01 A
 * b) 2.075E-01 A
 * c) 2.282E-01 A
 * d) 2.510E-01 A
 * e) 2.761E-01 A

6) Two sources of emf &epsilon;1=49.6 V, and  &epsilon;2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 3.055E+00 mA
 * b) 3.360E+00 mA
 * c) 3.696E+00 mA
 * d) 4.066E+00 mA
 * e) 4.472E+00 mA

7) Two sources of emf &epsilon;1=39.2 V, and  &epsilon;2=12.6 V are oriented as shownin the circuit. The resistances are R1=3.86 k&Omega; and  R2=1.89 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.05 mA and I4=0.701 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 8.687E+00 V
 * b) 9.555E+00 V
 * c) 1.051E+01 V
 * d) 1.156E+01 V
 * e) 1.272E+01 V

8) Two sources of emf &epsilon;1=14.3 V, and  &epsilon;2=5.6 V are oriented as shownin the circuit. The resistances are R1=5.31 k&Omega; and  R2=2.39 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.12 mA and I4=0.284 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 3.416E+00 V
 * b) 3.757E+00 V
 * c) 4.133E+00 V
 * d) 4.546E+00 V
 * e) 5.001E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 543 V.  If the combined external and internal resistance is 201 &Omega and the capacitance is  82 mF, how long will it take for the capacitor's voltage to reach 281.0 V?


 * a) 9.024E+00 s
 * b) 9.927E+00 s
 * c) 1.092E+01 s
 * d) 1.201E+01 s
 * e) 1.321E+01 s

c10 C1
1) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 129 V.  If the combined external and internal resistance is 169 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 109.0 V?


 * a) 2.177E+01 s
 * b) 2.394E+01 s
 * c) 2.634E+01 s
 * d) 2.897E+01 s
 * e) 3.187E+01 s

2) Two sources of emf &epsilon;1=34.7 V, and  &epsilon;2=13.9 V are oriented as shownin the circuit. The resistances are R1=3.68 k&Omega; and  R2=1.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.68 mA and I4=0.933 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 9.286E+00 V
 * b) 1.021E+01 V
 * c) 1.124E+01 V
 * d) 1.236E+01 V
 * e) 1.360E+01 V

3) A battery with a terminal voltage of 7.82 V is connected to a circuit consisting of 2 19.3 &Omega; resistors and one 12.2 &Omega; resistor. What is the voltage drop across the 12.2 &Omega; resistor?


 * a) 1.552E+00 V
 * b) 1.707E+00 V
 * c) 1.878E+00 V
 * d) 2.066E+00 V
 * e) 2.272E+00 V

4) In the circuit shown V=19.6 V, R1=1.45 &Omega;, R2=7.85 &Omega;, and R3=15.8 &Omega;. What is the power dissipated by R2?


 * a) 2.730E+01 W
 * b) 3.003E+01 W
 * c) 3.304E+01 W
 * d) 3.634E+01 W
 * e) 3.998E+01 W

5) A given battery has a 13 V emf and an internal resistance of 0.161 &Omega;. If it is connected to a 0.814 &Omega; resistor what is the power dissipated by that load?


 * a) 1.087E+02 W
 * b) 1.196E+02 W
 * c) 1.316E+02 W
 * d) 1.447E+02 W
 * e) 1.592E+02 W

6) Two sources of emf &epsilon;1=16.8 V, and  &epsilon;2=6.85 V are oriented as shownin the circuit. The resistances are R1=4.43 k&Omega; and  R2=1.24 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.68 mA and I4=0.758 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 3.890E+00 V
 * b) 4.279E+00 V
 * c) 4.707E+00 V
 * d) 5.178E+00 V
 * e) 5.695E+00 V

7) Three resistors, R1 = 1.82 &Omega;, and R2 = R2 = 4.14 &Omega;, are connected in parallel to a 5.65 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.754E+01 W
 * b) 1.929E+01 W
 * c) 2.122E+01 W
 * d) 2.335E+01 W
 * e) 2.568E+01 W

8) The resistances in the figure shown are R1= 2.73 &Omega;, R2= 1.4 &Omega;, and R2= 2.35 &Omega;. V1 and V3 are text 0.549 V and 1.27 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.584 V. What is the absolute value of the current through R1?


 * a) 1.213E-01 A
 * b) 1.334E-01 A
 * c) 1.468E-01 A
 * d) 1.614E-01 A
 * e) 1.776E-01 A

9) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=15.7 V are oriented as shownin the circuit. The resistances are R1=2.24 k&Omega; and  R2=2.23 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.01 mA and I4=0.86 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.955E+00 mA
 * b) 2.150E+00 mA
 * c) 2.365E+00 mA
 * d) 2.601E+00 mA
 * e) 2.862E+00 mA

c10 C2
1) Two sources of emf &epsilon;1=34.7 V, and  &epsilon;2=13.9 V are oriented as shownin the circuit. The resistances are R1=3.68 k&Omega; and  R2=1.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.68 mA and I4=0.933 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 9.286E+00 V
 * b) 1.021E+01 V
 * c) 1.124E+01 V
 * d) 1.236E+01 V
 * e) 1.360E+01 V

2) The resistances in the figure shown are R1= 1.54 &Omega;, R2= 0.927 &Omega;, and R2= 2.46 &Omega;. V1 and V3 are text 0.632 V and 2.12 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.586 V. What is the absolute value of the current through R1?


 * a) 1.770E-01 A
 * b) 1.947E-01 A
 * c) 2.141E-01 A
 * d) 2.355E-01 A
 * e) 2.591E-01 A

3) In the circuit shown V=18.8 V, R1=2.59 &Omega;, R2=5.47 &Omega;, and R3=15.8 &Omega;. What is the power dissipated by R2?


 * a) 2.191E+01 W
 * b) 2.410E+01 W
 * c) 2.651E+01 W
 * d) 2.916E+01 W
 * e) 3.208E+01 W

4) A battery with a terminal voltage of 9.88 V is connected to a circuit consisting of 3 15.9 &Omega; resistors and one 10.8 &Omega; resistor. What is the voltage drop across the 10.8 &Omega; resistor?


 * a) 1.370E+00 V
 * b) 1.507E+00 V
 * c) 1.658E+00 V
 * d) 1.824E+00 V
 * e) 2.006E+00 V

5) Three resistors, R1 = 1.25 &Omega;, and R2 = R2 = 2.82 &Omega;, are connected in parallel to a 8.6 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 4.890E+01 W
 * b) 5.379E+01 W
 * c) 5.917E+01 W
 * d) 6.508E+01 W
 * e) 7.159E+01 W

6) Two sources of emf &epsilon;1=39.2 V, and  &epsilon;2=12.6 V are oriented as shownin the circuit. The resistances are R1=3.86 k&Omega; and  R2=1.89 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.05 mA and I4=0.701 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 8.687E+00 V
 * b) 9.555E+00 V
 * c) 1.051E+01 V
 * d) 1.156E+01 V
 * e) 1.272E+01 V

7) Two sources of emf &epsilon;1=43.7 V, and  &epsilon;2=13.1 V are oriented as shownin the circuit. The resistances are R1=5.21 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.86 mA and I4=0.9 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.691E+00 mA
 * b) 2.960E+00 mA
 * c) 3.256E+00 mA
 * d) 3.582E+00 mA
 * e) 3.940E+00 mA

8) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 598 V.  If the combined external and internal resistance is 170 &Omega and the capacitance is  73 mF, how long will it take for the capacitor's voltage to reach 436.0 V?


 * a) 1.218E+01 s
 * b) 1.339E+01 s
 * c) 1.473E+01 s
 * d) 1.621E+01 s
 * e) 1.783E+01 s

9) A given battery has a 9 V emf and an internal resistance of 0.141 &Omega;. If it is connected to a 0.663 &Omega; resistor what is the power dissipated by that load?


 * a) 5.674E+01 W
 * b) 6.242E+01 W
 * c) 6.866E+01 W
 * d) 7.553E+01 W
 * e) 8.308E+01 W

c10 D0
1) A given battery has a 14 V emf and an internal resistance of 0.0842 &Omega;. If it is connected to a 0.835 &Omega; resistor what is the power dissipated by that load?


 * a) 1.455E+02 W
 * b) 1.601E+02 W
 * c) 1.761E+02 W
 * d) 1.937E+02 W
 * e) 2.131E+02 W

2) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 &Omega; resistors and one 12.8 &Omega; resistor. What is the voltage drop across the 12.8 &Omega; resistor?


 * a) 2.467E+00 V
 * b) 2.714E+00 V
 * c) 2.985E+00 V
 * d) 3.283E+00 V
 * e) 3.612E+00 V

3) Three resistors, R1 = 1.25 &Omega;, and R2 = R2 = 2.82 &Omega;, are connected in parallel to a 8.6 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 4.890E+01 W
 * b) 5.379E+01 W
 * c) 5.917E+01 W
 * d) 6.508E+01 W
 * e) 7.159E+01 W

4) In the circuit shown V=10.9 V, R1=1.68 &Omega;, R2=7.52 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * a) 7.827E+00 W
 * b) 8.610E+00 W
 * c) 9.470E+00 W
 * d) 1.042E+01 W
 * e) 1.146E+01 W

5) The resistances in the figure shown are R1= 2.74 &Omega;, R2= 1.63 &Omega;, and R2= 2.75 &Omega;. V1 and V3 are text 0.485 V and 2.01 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.555 V. What is the absolute value of the current through R1?


 * a) 1.114E-01 A
 * b) 1.225E-01 A
 * c) 1.348E-01 A
 * d) 1.483E-01 A
 * e) 1.631E-01 A

6) Two sources of emf &epsilon;1=29.3 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=5.65 k&Omega; and  R2=2.68 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.81 mA and I4=0.525 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.717E+00 mA
 * b) 1.888E+00 mA
 * c) 2.077E+00 mA
 * d) 2.285E+00 mA
 * e) 2.514E+00 mA

7) Two sources of emf &epsilon;1=38.8 V, and  &epsilon;2=14.9 V are oriented as shownin the circuit. The resistances are R1=5.83 k&Omega; and  R2=1.77 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.57 mA and I4=1.19 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 1.013E+01 V
 * b) 1.115E+01 V
 * c) 1.226E+01 V
 * d) 1.349E+01 V
 * e) 1.484E+01 V

8) Two sources of emf &epsilon;1=39.4 V, and  &epsilon;2=12.2 V are oriented as shownin the circuit. The resistances are R1=3.84 k&Omega; and  R2=2.01 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.71 mA and I4=0.669 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 8.825E+00 V
 * b) 9.708E+00 V
 * c) 1.068E+01 V
 * d) 1.175E+01 V
 * e) 1.292E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 351 V.  If the combined external and internal resistance is 148 &Omega and the capacitance is  60 mF, how long will it take for the capacitor's voltage to reach 227.0 V?


 * a) 9.240E+00 s
 * b) 1.016E+01 s
 * c) 1.118E+01 s
 * d) 1.230E+01 s
 * e) 1.353E+01 s

c10 D1
1) The resistances in the figure shown are R1= 2.54 &Omega;, R2= 1.15 &Omega;, and R2= 2.9 &Omega;. V1 and V3 are text 0.446 V and 3.39 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.744 V. What is the absolute value of the current through R1?


 * a) 1.285E-01 A
 * b) 1.414E-01 A
 * c) 1.555E-01 A
 * d) 1.711E-01 A
 * e) 1.882E-01 A

2) In the circuit shown V=17.9 V, R1=1.3 &Omega;, R2=5.1 &Omega;, and R3=12.1 &Omega;. What is the power dissipated by R2?


 * a) 2.543E+01 W
 * b) 2.798E+01 W
 * c) 3.077E+01 W
 * d) 3.385E+01 W
 * e) 3.724E+01 W

3) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 &Omega; resistors and one 10.2 &Omega; resistor. What is the voltage drop across the 10.2 &Omega; resistor?


 * a) 2.074E+00 V
 * b) 2.282E+00 V
 * c) 2.510E+00 V
 * d) 2.761E+00 V
 * e) 3.037E+00 V

4) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=12.1 V are oriented as shownin the circuit. The resistances are R1=2.52 k&Omega; and  R2=1.22 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.14 mA and I4=1.19 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 7.805E+00 V
 * b) 8.586E+00 V
 * c) 9.444E+00 V
 * d) 1.039E+01 V
 * e) 1.143E+01 V

5) A given battery has a 14 V emf and an internal resistance of 0.0842 &Omega;. If it is connected to a 0.835 &Omega; resistor what is the power dissipated by that load?


 * a) 1.455E+02 W
 * b) 1.601E+02 W
 * c) 1.761E+02 W
 * d) 1.937E+02 W
 * e) 2.131E+02 W

6) Two sources of emf &epsilon;1=28.6 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=3.73 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.27 mA and I4=0.774 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 6.641E+00 V
 * b) 7.305E+00 V
 * c) 8.035E+00 V
 * d) 8.839E+00 V
 * e) 9.723E+00 V

7) Two sources of emf &epsilon;1=29.5 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=2.45 k&Omega; and  R2=1.96 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.03 mA and I4=0.783 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.247E+00 mA
 * b) 2.472E+00 mA
 * c) 2.719E+00 mA
 * d) 2.991E+00 mA
 * e) 3.290E+00 mA

8) Three resistors, R1 = 0.906 &Omega;, and R2 = R2 = 2.02 &Omega;, are connected in parallel to a 5.98 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 3.262E+01 W
 * b) 3.588E+01 W
 * c) 3.947E+01 W
 * d) 4.342E+01 W
 * e) 4.776E+01 W

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 319 V.  If the combined external and internal resistance is 231 &Omega and the capacitance is  64 mF, how long will it take for the capacitor's voltage to reach 175.0 V?


 * a) 9.718E+00 s
 * b) 1.069E+01 s
 * c) 1.176E+01 s
 * d) 1.293E+01 s
 * e) 1.423E+01 s

c10 D2
1) Two sources of emf &epsilon;1=13.6 V, and  &epsilon;2=6.53 V are oriented as shownin the circuit. The resistances are R1=2.89 k&Omega; and  R2=2.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.11 mA and I4=0.311 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 7.264E-01 mA
 * b) 7.990E-01 mA
 * c) 8.789E-01 mA
 * d) 9.668E-01 mA
 * e) 1.063E+00 mA

2) A battery with a terminal voltage of 8.41 V is connected to a circuit consisting of 3 16.1 &Omega; resistors and one 10.9 &Omega; resistor. What is the voltage drop across the 10.9 &Omega; resistor?


 * a) 1.058E+00 V
 * b) 1.163E+00 V
 * c) 1.280E+00 V
 * d) 1.408E+00 V
 * e) 1.548E+00 V

3) Three resistors, R1 = 0.624 &Omega;, and R2 = R2 = 1.37 &Omega;, are connected in parallel to a 7.46 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 7.371E+01 W
 * b) 8.108E+01 W
 * c) 8.919E+01 W
 * d) 9.810E+01 W
 * e) 1.079E+02 W

4) In the circuit shown V=16.2 V, R1=2.84 &Omega;, R2=7.06 &Omega;, and R3=13.1 &Omega;. What is the power dissipated by R2?


 * a) 1.418E+01 W
 * b) 1.560E+01 W
 * c) 1.716E+01 W
 * d) 1.887E+01 W
 * e) 2.076E+01 W

5) A given battery has a 14 V emf and an internal resistance of 0.0842 &Omega;. If it is connected to a 0.835 &Omega; resistor what is the power dissipated by that load?


 * a) 1.455E+02 W
 * b) 1.601E+02 W
 * c) 1.761E+02 W
 * d) 1.937E+02 W
 * e) 2.131E+02 W

6) Two sources of emf &epsilon;1=40.7 V, and  &epsilon;2=12.3 V are oriented as shownin the circuit. The resistances are R1=3.5 k&Omega; and  R2=1.94 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.42 mA and I4=0.932 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.440E+01 V
 * b) 1.584E+01 V
 * c) 1.742E+01 V
 * d) 1.916E+01 V
 * e) 2.108E+01 V

7) Two sources of emf &epsilon;1=28.6 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=3.73 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.27 mA and I4=0.774 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 6.641E+00 V
 * b) 7.305E+00 V
 * c) 8.035E+00 V
 * d) 8.839E+00 V
 * e) 9.723E+00 V

8) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 466 V.  If the combined external and internal resistance is 123 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 331.0 V?


 * a) 9.571E+00 s
 * b) 1.053E+01 s
 * c) 1.158E+01 s
 * d) 1.274E+01 s
 * e) 1.401E+01 s

9) The resistances in the figure shown are R1= 1.54 &Omega;, R2= 0.927 &Omega;, and R2= 2.46 &Omega;. V1 and V3 are text 0.632 V and 2.12 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.586 V. What is the absolute value of the current through R1?


 * a) 1.770E-01 A
 * b) 1.947E-01 A
 * c) 2.141E-01 A
 * d) 2.355E-01 A
 * e) 2.591E-01 A

c10 E0
1) A given battery has a 15 V emf and an internal resistance of 0.177 &Omega;. If it is connected to a 0.824 &Omega; resistor what is the power dissipated by that load?


 * a) 1.682E+02 W
 * b) 1.850E+02 W
 * c) 2.035E+02 W
 * d) 2.239E+02 W
 * e) 2.463E+02 W

2) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 &Omega; resistors and one 9.58 &Omega; resistor. What is the voltage drop across the 9.58 &Omega; resistor?


 * a) 1.677E+00 V
 * b) 1.844E+00 V
 * c) 2.029E+00 V
 * d) 2.231E+00 V
 * e) 2.455E+00 V

3) Three resistors, R1 = 1.41 &Omega;, and R2 = R2 = 3.17 &Omega;, are connected in parallel to a 5.89 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.681E+01 W
 * b) 1.849E+01 W
 * c) 2.033E+01 W
 * d) 2.237E+01 W
 * e) 2.460E+01 W

4) In the circuit shown V=18.4 V, R1=1.64 &Omega;, R2=6.56 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * a) 2.470E+01 W
 * b) 2.717E+01 W
 * c) 2.989E+01 W
 * d) 3.288E+01 W
 * e) 3.617E+01 W

5) The resistances in the figure shown are R1= 2.38 &Omega;, R2= 1.87 &Omega;, and R2= 2.32 &Omega;. V1 and V3 are text 0.605 V and 3.8 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.67 V. What is the absolute value of the current through R1?


 * a) 8.147E-02 A
 * b) 8.962E-02 A
 * c) 9.858E-02 A
 * d) 1.084E-01 A
 * e) 1.193E-01 A

6) Two sources of emf &epsilon;1=18.2 V, and  &epsilon;2=6.59 V are oriented as shownin the circuit. The resistances are R1=5.47 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.64 mA and I4=0.341 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.299E+00 mA
 * b) 1.429E+00 mA
 * c) 1.572E+00 mA
 * d) 1.729E+00 mA
 * e) 1.902E+00 mA

7) Two sources of emf &epsilon;1=16.8 V, and  &epsilon;2=6.85 V are oriented as shownin the circuit. The resistances are R1=4.43 k&Omega; and  R2=1.24 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.68 mA and I4=0.758 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 3.890E+00 V
 * b) 4.279E+00 V
 * c) 4.707E+00 V
 * d) 5.178E+00 V
 * e) 5.695E+00 V

8) Two sources of emf &epsilon;1=58.5 V, and  &epsilon;2=17.3 V are oriented as shownin the circuit. The resistances are R1=3.06 k&Omega; and  R2=1.88 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.25 mA and I4=1.25 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.981E+01 V
 * b) 2.179E+01 V
 * c) 2.397E+01 V
 * d) 2.637E+01 V
 * e) 2.901E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 505 V.  If the combined external and internal resistance is 189 &Omega and the capacitance is  74 mF, how long will it take for the capacitor's voltage to reach 374.0 V?


 * a) 1.560E+01 s
 * b) 1.716E+01 s
 * c) 1.887E+01 s
 * d) 2.076E+01 s
 * e) 2.284E+01 s

c10 E1
1) A given battery has a 14 V emf and an internal resistance of 0.198 &Omega;. If it is connected to a 0.534 &Omega; resistor what is the power dissipated by that load?


 * a) 1.776E+02 W
 * b) 1.953E+02 W
 * c) 2.149E+02 W
 * d) 2.364E+02 W
 * e) 2.600E+02 W

2) Two sources of emf &epsilon;1=46.1 V, and  &epsilon;2=16.2 V are oriented as shownin the circuit. The resistances are R1=5.17 k&Omega; and  R2=2.06 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.97 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.309E+01 V
 * b) 1.440E+01 V
 * c) 1.584E+01 V
 * d) 1.742E+01 V
 * e) 1.917E+01 V

3) The resistances in the figure shown are R1= 2.41 &Omega;, R2= 1.74 &Omega;, and R2= 3.35 &Omega;. V1 and V3 are text 0.508 V and 1.36 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.595 V. What is the absolute value of the current through R1?


 * a) 1.203E-01 A
 * b) 1.324E-01 A
 * c) 1.456E-01 A
 * d) 1.602E-01 A
 * e) 1.762E-01 A

4) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.842E+01 W
 * b) 2.026E+01 W
 * c) 2.228E+01 W
 * d) 2.451E+01 W
 * e) 2.696E+01 W

5) In the circuit shown V=10.8 V, R1=1.26 &Omega;, R2=5.65 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * a) 8.240E+00 W
 * b) 9.064E+00 W
 * c) 9.970E+00 W
 * d) 1.097E+01 W
 * e) 1.206E+01 W

6) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 433 V.  If the combined external and internal resistance is 275 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 223.0 V?


 * a) 1.104E+01 s
 * b) 1.214E+01 s
 * c) 1.335E+01 s
 * d) 1.469E+01 s
 * e) 1.616E+01 s

7) Two sources of emf &epsilon;1=44.4 V, and  &epsilon;2=16.8 V are oriented as shownin the circuit. The resistances are R1=4.58 k&Omega; and  R2=1.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=8.43 mA and I4=1.46 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 6.970E+00 mA
 * b) 7.667E+00 mA
 * c) 8.434E+00 mA
 * d) 9.277E+00 mA
 * e) 1.020E+01 mA

8) Two sources of emf &epsilon;1=52.7 V, and  &epsilon;2=17.5 V are oriented as shownin the circuit. The resistances are R1=5.86 k&Omega; and  R2=2.08 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.48 mA and I4=0.988 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 2.064E+01 V
 * b) 2.270E+01 V
 * c) 2.497E+01 V
 * d) 2.747E+01 V
 * e) 3.021E+01 V

9) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 2 15.9 &Omega; resistors and one 10.4 &Omega; resistor. What is the voltage drop across the 10.4 &Omega; resistor?


 * a) 1.709E+00 V
 * b) 1.880E+00 V
 * c) 2.068E+00 V
 * d) 2.275E+00 V
 * e) 2.503E+00 V

c10 E2
1) Two sources of emf &epsilon;1=24.4 V, and  &epsilon;2=6.73 V are oriented as shownin the circuit. The resistances are R1=5.7 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.36 mA and I4=0.418 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 5.418E+00 V
 * b) 5.960E+00 V
 * c) 6.556E+00 V
 * d) 7.212E+00 V
 * e) 7.933E+00 V

2) Three resistors, R1 = 1.39 &Omega;, and R2 = R2 = 3.06 &Omega;, are connected in parallel to a 6.21 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 2.293E+01 W
 * b) 2.522E+01 W
 * c) 2.774E+01 W
 * d) 3.052E+01 W
 * e) 3.357E+01 W

3) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 505 V.  If the combined external and internal resistance is 189 &Omega and the capacitance is  74 mF, how long will it take for the capacitor's voltage to reach 374.0 V?


 * a) 1.560E+01 s
 * b) 1.716E+01 s
 * c) 1.887E+01 s
 * d) 2.076E+01 s
 * e) 2.284E+01 s

4) In the circuit shown V=15.8 V, R1=1.86 &Omega;, R2=7.66 &Omega;, and R3=12.9 &Omega;. What is the power dissipated by R2?


 * a) 1.157E+01 W
 * b) 1.273E+01 W
 * c) 1.400E+01 W
 * d) 1.540E+01 W
 * e) 1.694E+01 W

5) Two sources of emf &epsilon;1=29.3 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=5.65 k&Omega; and  R2=2.68 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.81 mA and I4=0.525 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.717E+00 mA
 * b) 1.888E+00 mA
 * c) 2.077E+00 mA
 * d) 2.285E+00 mA
 * e) 2.514E+00 mA

6) The resistances in the figure shown are R1= 1.81 &Omega;, R2= 1.18 &Omega;, and R2= 2.62 &Omega;. V1 and V3 are text 0.628 V and 2.54 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.748 V. What is the absolute value of the current through R1?


 * a) 1.552E-01 A
 * b) 1.707E-01 A
 * c) 1.878E-01 A
 * d) 2.065E-01 A
 * e) 2.272E-01 A

7) A given battery has a 14 V emf and an internal resistance of 0.198 &Omega;. If it is connected to a 0.534 &Omega; resistor what is the power dissipated by that load?


 * a) 1.776E+02 W
 * b) 1.953E+02 W
 * c) 2.149E+02 W
 * d) 2.364E+02 W
 * e) 2.600E+02 W

8) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=16.9 V are oriented as shownin the circuit. The resistances are R1=3.3 k&Omega; and  R2=2.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.34 mA and I4=0.955 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 7.031E+00 V
 * b) 7.734E+00 V
 * c) 8.507E+00 V
 * d) 9.358E+00 V
 * e) 1.029E+01 V

9) A battery with a terminal voltage of 8.66 V is connected to a circuit consisting of 3 19.6 &Omega; resistors and one 10.6 &Omega; resistor. What is the voltage drop across the 10.6 &Omega; resistor?


 * a) 1.202E+00 V
 * b) 1.323E+00 V
 * c) 1.455E+00 V
 * d) 1.600E+00 V
 * e) 1.761E+00 V

c10 F0
1) A given battery has a 15 V emf and an internal resistance of 0.162 &Omega;. If it is connected to a 0.561 &Omega; resistor what is the power dissipated by that load?


 * a) 1.814E+02 W
 * b) 1.996E+02 W
 * c) 2.195E+02 W
 * d) 2.415E+02 W
 * e) 2.656E+02 W

2) A battery with a terminal voltage of 7.82 V is connected to a circuit consisting of 2 19.3 &Omega; resistors and one 12.2 &Omega; resistor. What is the voltage drop across the 12.2 &Omega; resistor?


 * a) 1.552E+00 V
 * b) 1.707E+00 V
 * c) 1.878E+00 V
 * d) 2.066E+00 V
 * e) 2.272E+00 V

3) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.842E+01 W
 * b) 2.026E+01 W
 * c) 2.228E+01 W
 * d) 2.451E+01 W
 * e) 2.696E+01 W

4) In the circuit shown V=18.8 V, R1=2.59 &Omega;, R2=5.47 &Omega;, and R3=15.8 &Omega;. What is the power dissipated by R2?


 * a) 2.191E+01 W
 * b) 2.410E+01 W
 * c) 2.651E+01 W
 * d) 2.916E+01 W
 * e) 3.208E+01 W

5) The resistances in the figure shown are R1= 2.24 &Omega;, R2= 1.03 &Omega;, and R2= 2.39 &Omega;. V1 and V3 are text 0.595 V and 2.58 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.707 V. What is the absolute value of the current through R1?


 * a) 1.834E-01 A
 * b) 2.018E-01 A
 * c) 2.220E-01 A
 * d) 2.441E-01 A
 * e) 2.686E-01 A

6) Two sources of emf &epsilon;1=49.6 V, and  &epsilon;2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 3.055E+00 mA
 * b) 3.360E+00 mA
 * c) 3.696E+00 mA
 * d) 4.066E+00 mA
 * e) 4.472E+00 mA

7) Two sources of emf &epsilon;1=16.8 V, and  &epsilon;2=7.15 V are oriented as shownin the circuit. The resistances are R1=3.12 k&Omega; and  R2=1.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.95 mA and I4=0.603 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 4.108E+00 V
 * b) 4.519E+00 V
 * c) 4.970E+00 V
 * d) 5.468E+00 V
 * e) 6.014E+00 V

8) Two sources of emf &epsilon;1=40.9 V, and  &epsilon;2=16.1 V are oriented as shownin the circuit. The resistances are R1=5.55 k&Omega; and  R2=1.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=6.11 mA and I4=1.06 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 8.754E+00 V
 * b) 9.630E+00 V
 * c) 1.059E+01 V
 * d) 1.165E+01 V
 * e) 1.282E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 213 V.  If the combined external and internal resistance is 118 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 142.0 V?


 * a) 5.401E+00 s
 * b) 5.941E+00 s
 * c) 6.535E+00 s
 * d) 7.189E+00 s
 * e) 7.908E+00 s

c10 F1
1) Three resistors, R1 = 1.43 &Omega;, and R2 = R2 = 3.25 &Omega;, are connected in parallel to a 9.03 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 5.184E+01 W
 * b) 5.702E+01 W
 * c) 6.272E+01 W
 * d) 6.900E+01 W
 * e) 7.590E+01 W

2) Two sources of emf &epsilon;1=20.6 V, and  &epsilon;2=9.53 V are oriented as shownin the circuit. The resistances are R1=5.46 k&Omega; and  R2=2.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.5 mA and I4=0.415 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.085E+00 mA
 * b) 1.194E+00 mA
 * c) 1.313E+00 mA
 * d) 1.444E+00 mA
 * e) 1.589E+00 mA

3) Two sources of emf &epsilon;1=67.2 V, and  &epsilon;2=18.7 V are oriented as shownin the circuit. The resistances are R1=3.45 k&Omega; and  R2=1.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=9.49 mA and I4=1.81 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.906E+01 V
 * b) 2.097E+01 V
 * c) 2.306E+01 V
 * d) 2.537E+01 V
 * e) 2.790E+01 V

4) The resistances in the figure shown are R1= 2.24 &Omega;, R2= 1.03 &Omega;, and R2= 2.39 &Omega;. V1 and V3 are text 0.595 V and 2.58 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.707 V. What is the absolute value of the current through R1?


 * a) 1.834E-01 A
 * b) 2.018E-01 A
 * c) 2.220E-01 A
 * d) 2.441E-01 A
 * e) 2.686E-01 A

5) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=11.5 V are oriented as shownin the circuit. The resistances are R1=2.13 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.11 mA and I4=0.746 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 4.275E+00 V
 * b) 4.703E+00 V
 * c) 5.173E+00 V
 * d) 5.691E+00 V
 * e) 6.260E+00 V

6) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 &Omega; resistors and one 10.2 &Omega; resistor. What is the voltage drop across the 10.2 &Omega; resistor?


 * a) 2.074E+00 V
 * b) 2.282E+00 V
 * c) 2.510E+00 V
 * d) 2.761E+00 V
 * e) 3.037E+00 V

7) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 130 V.  If the combined external and internal resistance is 109 &Omega and the capacitance is  59 mF, how long will it take for the capacitor's voltage to reach 69.9 V?


 * a) 3.728E+00 s
 * b) 4.101E+00 s
 * c) 4.511E+00 s
 * d) 4.962E+00 s
 * e) 5.458E+00 s

8) In the circuit shown V=11.9 V, R1=2.75 &Omega;, R2=7.19 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * a) 7.982E+00 W
 * b) 8.780E+00 W
 * c) 9.658E+00 W
 * d) 1.062E+01 W
 * e) 1.169E+01 W

9) A given battery has a 14 V emf and an internal resistance of 0.0842 &Omega;. If it is connected to a 0.835 &Omega; resistor what is the power dissipated by that load?


 * a) 1.455E+02 W
 * b) 1.601E+02 W
 * c) 1.761E+02 W
 * d) 1.937E+02 W
 * e) 2.131E+02 W

c10 F2
1) A battery with a terminal voltage of 12.4 V is connected to a circuit consisting of 3 21.6 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * a) 1.333E+00 V
 * b) 1.466E+00 V
 * c) 1.612E+00 V
 * d) 1.774E+00 V
 * e) 1.951E+00 V

2) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 129 V.  If the combined external and internal resistance is 169 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 109.0 V?


 * a) 2.177E+01 s
 * b) 2.394E+01 s
 * c) 2.634E+01 s
 * d) 2.897E+01 s
 * e) 3.187E+01 s

3) A given battery has a 10 V emf and an internal resistance of 0.119 &Omega;. If it is connected to a 0.445 &Omega; resistor what is the power dissipated by that load?


 * a) 1.272E+02 W
 * b) 1.399E+02 W
 * c) 1.539E+02 W
 * d) 1.693E+02 W
 * e) 1.862E+02 W

4) The resistances in the figure shown are R1= 2.67 &Omega;, R2= 1.78 &Omega;, and R2= 3.63 &Omega;. V1 and V3 are text 0.448 V and 2.29 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.656 V. What is the absolute value of the current through R1?


 * a) 9.287E-02 A
 * b) 1.022E-01 A
 * c) 1.124E-01 A
 * d) 1.236E-01 A
 * e) 1.360E-01 A

5) Two sources of emf &epsilon;1=44.4 V, and  &epsilon;2=16.8 V are oriented as shownin the circuit. The resistances are R1=4.58 k&Omega; and  R2=1.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=8.43 mA and I4=1.46 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 6.970E+00 mA
 * b) 7.667E+00 mA
 * c) 8.434E+00 mA
 * d) 9.277E+00 mA
 * e) 1.020E+01 mA

6) Two sources of emf &epsilon;1=46.1 V, and  &epsilon;2=16.2 V are oriented as shownin the circuit. The resistances are R1=5.17 k&Omega; and  R2=2.06 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.97 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.309E+01 V
 * b) 1.440E+01 V
 * c) 1.584E+01 V
 * d) 1.742E+01 V
 * e) 1.917E+01 V

7) Three resistors, R1 = 0.906 &Omega;, and R2 = R2 = 2.02 &Omega;, are connected in parallel to a 5.98 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 3.262E+01 W
 * b) 3.588E+01 W
 * c) 3.947E+01 W
 * d) 4.342E+01 W
 * e) 4.776E+01 W

8) In the circuit shown V=15.2 V, R1=1.6 &Omega;, R2=7.89 &Omega;, and R3=15.3 &Omega;. What is the power dissipated by R2?


 * a) 1.713E+01 W
 * b) 1.885E+01 W
 * c) 2.073E+01 W
 * d) 2.280E+01 W
 * e) 2.508E+01 W

9) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=11.5 V are oriented as shownin the circuit. The resistances are R1=2.13 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.11 mA and I4=0.746 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 4.275E+00 V
 * b) 4.703E+00 V
 * c) 5.173E+00 V
 * d) 5.691E+00 V
 * e) 6.260E+00 V

c10 G0
1) A given battery has a 12 V emf and an internal resistance of 0.0984 &Omega;. If it is connected to a 0.485 &Omega; resistor what is the power dissipated by that load?


 * a) 2.052E+02 W
 * b) 2.257E+02 W
 * c) 2.483E+02 W
 * d) 2.731E+02 W
 * e) 3.004E+02 W

2) A battery with a terminal voltage of 8.66 V is connected to a circuit consisting of 3 19.6 &Omega; resistors and one 10.6 &Omega; resistor. What is the voltage drop across the 10.6 &Omega; resistor?


 * a) 1.202E+00 V
 * b) 1.323E+00 V
 * c) 1.455E+00 V
 * d) 1.600E+00 V
 * e) 1.761E+00 V

3) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.842E+01 W
 * b) 2.026E+01 W
 * c) 2.228E+01 W
 * d) 2.451E+01 W
 * e) 2.696E+01 W

4) In the circuit shown V=17.8 V, R1=2.27 &Omega;, R2=6.79 &Omega;, and R3=15.1 &Omega;. What is the power dissipated by R2?


 * a) 1.446E+01 W
 * b) 1.591E+01 W
 * c) 1.750E+01 W
 * d) 1.925E+01 W
 * e) 2.117E+01 W

5) The resistances in the figure shown are R1= 2.04 &Omega;, R2= 1.19 &Omega;, and R2= 2.5 &Omega;. V1 and V3 are text 0.507 V and 3.07 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.602 V. What is the absolute value of the current through R1?


 * a) 1.401E-01 A
 * b) 1.542E-01 A
 * c) 1.696E-01 A
 * d) 1.865E-01 A
 * e) 2.052E-01 A

6) Two sources of emf &epsilon;1=49.6 V, and  &epsilon;2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 3.055E+00 mA
 * b) 3.360E+00 mA
 * c) 3.696E+00 mA
 * d) 4.066E+00 mA
 * e) 4.472E+00 mA

7) Two sources of emf &epsilon;1=21.0 V, and  &epsilon;2=8.72 V are oriented as shownin the circuit. The resistances are R1=3.12 k&Omega; and  R2=1.15 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.41 mA and I4=0.816 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 5.267E+00 V
 * b) 5.794E+00 V
 * c) 6.373E+00 V
 * d) 7.011E+00 V
 * e) 7.712E+00 V

8) Two sources of emf &epsilon;1=39.4 V, and  &epsilon;2=12.2 V are oriented as shownin the circuit. The resistances are R1=3.84 k&Omega; and  R2=2.01 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.71 mA and I4=0.669 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 8.825E+00 V
 * b) 9.708E+00 V
 * c) 1.068E+01 V
 * d) 1.175E+01 V
 * e) 1.292E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 213 V.  If the combined external and internal resistance is 118 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 142.0 V?


 * a) 5.401E+00 s
 * b) 5.941E+00 s
 * c) 6.535E+00 s
 * d) 7.189E+00 s
 * e) 7.908E+00 s

c10 G1
1) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=15.7 V are oriented as shownin the circuit. The resistances are R1=2.24 k&Omega; and  R2=2.23 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.01 mA and I4=0.86 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.955E+00 mA
 * b) 2.150E+00 mA
 * c) 2.365E+00 mA
 * d) 2.601E+00 mA
 * e) 2.862E+00 mA

2) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 190 V.  If the combined external and internal resistance is 255 &Omega and the capacitance is  54 mF, how long will it take for the capacitor's voltage to reach 101.0 V?


 * a) 1.044E+01 s
 * b) 1.149E+01 s
 * c) 1.264E+01 s
 * d) 1.390E+01 s
 * e) 1.529E+01 s

3) The resistances in the figure shown are R1= 1.18 &Omega;, R2= 0.878 &Omega;, and R2= 2.11 &Omega;. V1 and V3 are text 0.637 V and 3.51 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.547 V. What is the absolute value of the current through R1?


 * a) 1.701E-01 A
 * b) 1.871E-01 A
 * c) 2.058E-01 A
 * d) 2.264E-01 A
 * e) 2.490E-01 A

4) Three resistors, R1 = 0.87 &Omega;, and R2 = R2 = 2.0 &Omega;, are connected in parallel to a 8.57 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 6.977E+01 W
 * b) 7.674E+01 W
 * c) 8.442E+01 W
 * d) 9.286E+01 W
 * e) 1.021E+02 W

5) In the circuit shown V=16.1 V, R1=1.18 &Omega;, R2=5.28 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * a) 2.172E+01 W
 * b) 2.389E+01 W
 * c) 2.628E+01 W
 * d) 2.891E+01 W
 * e) 3.180E+01 W

6) Two sources of emf &epsilon;1=49.8 V, and  &epsilon;2=18.1 V are oriented as shownin the circuit. The resistances are R1=2.78 k&Omega; and  R2=2.63 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.51 mA and I4=0.969 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 7.886E+00 V
 * b) 8.675E+00 V
 * c) 9.542E+00 V
 * d) 1.050E+01 V
 * e) 1.155E+01 V

7) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=12.1 V are oriented as shownin the circuit. The resistances are R1=2.52 k&Omega; and  R2=1.22 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.14 mA and I4=1.19 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 7.805E+00 V
 * b) 8.586E+00 V
 * c) 9.444E+00 V
 * d) 1.039E+01 V
 * e) 1.143E+01 V

8) A battery with a terminal voltage of 14.6 V is connected to a circuit consisting of 2 21.7 &Omega; resistors and one 14.4 &Omega; resistor. What is the voltage drop across the 14.4 &Omega; resistor?


 * a) 3.637E+00 V
 * b) 4.001E+00 V
 * c) 4.401E+00 V
 * d) 4.841E+00 V
 * e) 5.325E+00 V

9) A given battery has a 13 V emf and an internal resistance of 0.106 &Omega;. If it is connected to a 0.752 &Omega; resistor what is the power dissipated by that load?


 * a) 1.569E+02 W
 * b) 1.726E+02 W
 * c) 1.899E+02 W
 * d) 2.089E+02 W
 * e) 2.298E+02 W

c10 G2
1) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.842E+01 W
 * b) 2.026E+01 W
 * c) 2.228E+01 W
 * d) 2.451E+01 W
 * e) 2.696E+01 W

2) Two sources of emf &epsilon;1=18.6 V, and  &epsilon;2=5.63 V are oriented as shownin the circuit. The resistances are R1=3.9 k&Omega; and  R2=1.1 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.41 mA and I4=0.614 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 4.342E+00 V
 * b) 4.776E+00 V
 * c) 5.254E+00 V
 * d) 5.779E+00 V
 * e) 6.357E+00 V

3) A given battery has a 14 V emf and an internal resistance of 0.192 &Omega;. If it is connected to a 0.766 &Omega; resistor what is the power dissipated by that load?


 * a) 1.229E+02 W
 * b) 1.352E+02 W
 * c) 1.487E+02 W
 * d) 1.636E+02 W
 * e) 1.799E+02 W

4) In the circuit shown V=17.8 V, R1=2.27 &Omega;, R2=6.79 &Omega;, and R3=15.1 &Omega;. What is the power dissipated by R2?


 * a) 1.446E+01 W
 * b) 1.591E+01 W
 * c) 1.750E+01 W
 * d) 1.925E+01 W
 * e) 2.117E+01 W

5) The resistances in the figure shown are R1= 1.18 &Omega;, R2= 0.878 &Omega;, and R2= 2.11 &Omega;. V1 and V3 are text 0.637 V and 3.51 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.547 V. What is the absolute value of the current through R1?


 * a) 1.701E-01 A
 * b) 1.871E-01 A
 * c) 2.058E-01 A
 * d) 2.264E-01 A
 * e) 2.490E-01 A

6) A battery with a terminal voltage of 8.14 V is connected to a circuit consisting of 2 21.5 &Omega; resistors and one 13.1 &Omega; resistor. What is the voltage drop across the 13.1 &Omega; resistor?


 * a) 1.298E+00 V
 * b) 1.428E+00 V
 * c) 1.571E+00 V
 * d) 1.728E+00 V
 * e) 1.901E+00 V

7) Two sources of emf &epsilon;1=28.6 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=3.73 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.27 mA and I4=0.774 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 6.641E+00 V
 * b) 7.305E+00 V
 * c) 8.035E+00 V
 * d) 8.839E+00 V
 * e) 9.723E+00 V

8) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 466 V.  If the combined external and internal resistance is 123 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 331.0 V?


 * a) 9.571E+00 s
 * b) 1.053E+01 s
 * c) 1.158E+01 s
 * d) 1.274E+01 s
 * e) 1.401E+01 s

9) Two sources of emf &epsilon;1=31.0 V, and  &epsilon;2=10.0 V are oriented as shownin the circuit. The resistances are R1=4.22 k&Omega; and  R2=1.37 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.32 mA and I4=1.03 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.290E+00 mA
 * b) 2.519E+00 mA
 * c) 2.771E+00 mA
 * d) 3.048E+00 mA
 * e) 3.353E+00 mA

c10 H0
1) A given battery has a 14 V emf and an internal resistance of 0.198 &Omega;. If it is connected to a 0.534 &Omega; resistor what is the power dissipated by that load?


 * a) 1.776E+02 W
 * b) 1.953E+02 W
 * c) 2.149E+02 W
 * d) 2.364E+02 W
 * e) 2.600E+02 W

2) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 &Omega; resistors and one 12.8 &Omega; resistor. What is the voltage drop across the 12.8 &Omega; resistor?


 * a) 2.467E+00 V
 * b) 2.714E+00 V
 * c) 2.985E+00 V
 * d) 3.283E+00 V
 * e) 3.612E+00 V

3) Three resistors, R1 = 1.25 &Omega;, and R2 = R2 = 2.82 &Omega;, are connected in parallel to a 8.6 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 4.890E+01 W
 * b) 5.379E+01 W
 * c) 5.917E+01 W
 * d) 6.508E+01 W
 * e) 7.159E+01 W

4) In the circuit shown V=16.1 V, R1=1.18 &Omega;, R2=5.28 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * a) 2.172E+01 W
 * b) 2.389E+01 W
 * c) 2.628E+01 W
 * d) 2.891E+01 W
 * e) 3.180E+01 W

5) The resistances in the figure shown are R1= 2.38 &Omega;, R2= 1.87 &Omega;, and R2= 2.32 &Omega;. V1 and V3 are text 0.605 V and 3.8 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.67 V. What is the absolute value of the current through R1?


 * a) 8.147E-02 A
 * b) 8.962E-02 A
 * c) 9.858E-02 A
 * d) 1.084E-01 A
 * e) 1.193E-01 A

6) Two sources of emf &epsilon;1=36.3 V, and  &epsilon;2=12.9 V are oriented as shownin the circuit. The resistances are R1=4.28 k&Omega; and  R2=1.58 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.16 mA and I4=1.2 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.224E+00 mA
 * b) 2.446E+00 mA
 * c) 2.691E+00 mA
 * d) 2.960E+00 mA
 * e) 3.256E+00 mA

7) Two sources of emf &epsilon;1=21.0 V, and  &epsilon;2=8.72 V are oriented as shownin the circuit. The resistances are R1=3.12 k&Omega; and  R2=1.15 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.41 mA and I4=0.816 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 5.267E+00 V
 * b) 5.794E+00 V
 * c) 6.373E+00 V
 * d) 7.011E+00 V
 * e) 7.712E+00 V

8) Two sources of emf &epsilon;1=21.6 V, and  &epsilon;2=8.59 V are oriented as shownin the circuit. The resistances are R1=4.97 k&Omega; and  R2=1.69 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.2 mA and I4=0.749 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 6.064E+00 V
 * b) 6.670E+00 V
 * c) 7.337E+00 V
 * d) 8.071E+00 V
 * e) 8.878E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 505 V.  If the combined external and internal resistance is 189 &Omega and the capacitance is  74 mF, how long will it take for the capacitor's voltage to reach 374.0 V?


 * a) 1.560E+01 s
 * b) 1.716E+01 s
 * c) 1.887E+01 s
 * d) 2.076E+01 s
 * e) 2.284E+01 s

c10 H1
1) The resistances in the figure shown are R1= 2.73 &Omega;, R2= 1.4 &Omega;, and R2= 2.35 &Omega;. V1 and V3 are text 0.549 V and 1.27 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.584 V. What is the absolute value of the current through R1?


 * a) 1.213E-01 A
 * b) 1.334E-01 A
 * c) 1.468E-01 A
 * d) 1.614E-01 A
 * e) 1.776E-01 A

2) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 130 V.  If the combined external and internal resistance is 109 &Omega and the capacitance is  59 mF, how long will it take for the capacitor's voltage to reach 69.9 V?


 * a) 3.728E+00 s
 * b) 4.101E+00 s
 * c) 4.511E+00 s
 * d) 4.962E+00 s
 * e) 5.458E+00 s

3) A given battery has a 15 V emf and an internal resistance of 0.113 &Omega;. If it is connected to a 0.645 &Omega; resistor what is the power dissipated by that load?


 * a) 1.898E+02 W
 * b) 2.087E+02 W
 * c) 2.296E+02 W
 * d) 2.526E+02 W
 * e) 2.778E+02 W

4) Three resistors, R1 = 1.31 &Omega;, and R2 = R2 = 2.91 &Omega;, are connected in parallel to a 6.03 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 2.294E+01 W
 * b) 2.523E+01 W
 * c) 2.776E+01 W
 * d) 3.053E+01 W
 * e) 3.359E+01 W

5) In the circuit shown V=15.2 V, R1=1.6 &Omega;, R2=7.89 &Omega;, and R3=15.3 &Omega;. What is the power dissipated by R2?


 * a) 1.713E+01 W
 * b) 1.885E+01 W
 * c) 2.073E+01 W
 * d) 2.280E+01 W
 * e) 2.508E+01 W

6) Two sources of emf &epsilon;1=43.7 V, and  &epsilon;2=13.1 V are oriented as shownin the circuit. The resistances are R1=5.21 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.86 mA and I4=0.9 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.691E+00 mA
 * b) 2.960E+00 mA
 * c) 3.256E+00 mA
 * d) 3.582E+00 mA
 * e) 3.940E+00 mA

7) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 &Omega; resistors and one 9.58 &Omega; resistor. What is the voltage drop across the 9.58 &Omega; resistor?


 * a) 1.677E+00 V
 * b) 1.844E+00 V
 * c) 2.029E+00 V
 * d) 2.231E+00 V
 * e) 2.455E+00 V

8) Two sources of emf &epsilon;1=57.0 V, and  &epsilon;2=18.1 V are oriented as shownin the circuit. The resistances are R1=4.95 k&Omega; and  R2=2.09 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.23 mA and I4=1.04 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 1.921E+01 V
 * b) 2.114E+01 V
 * c) 2.325E+01 V
 * d) 2.557E+01 V
 * e) 2.813E+01 V

9) Two sources of emf &epsilon;1=14.3 V, and  &epsilon;2=5.6 V are oriented as shownin the circuit. The resistances are R1=5.31 k&Omega; and  R2=2.39 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.12 mA and I4=0.284 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 3.416E+00 V
 * b) 3.757E+00 V
 * c) 4.133E+00 V
 * d) 4.546E+00 V
 * e) 5.001E+00 V

c10 H2
1) A given battery has a 11 V emf and an internal resistance of 0.0998 &Omega;. If it is connected to a 0.417 &Omega; resistor what is the power dissipated by that load?


 * a) 1.419E+02 W
 * b) 1.561E+02 W
 * c) 1.717E+02 W
 * d) 1.889E+02 W
 * e) 2.078E+02 W

2) Three resistors, R1 = 1.23 &Omega;, and R2 = R2 = 2.73 &Omega;, are connected in parallel to a 5.41 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.788E+01 W
 * b) 1.967E+01 W
 * c) 2.163E+01 W
 * d) 2.380E+01 W
 * e) 2.617E+01 W

3) Two sources of emf &epsilon;1=27.9 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=2.82 k&Omega; and  R2=2.25 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.1 mA and I4=0.676 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 8.334E+00 V
 * b) 9.167E+00 V
 * c) 1.008E+01 V
 * d) 1.109E+01 V
 * e) 1.220E+01 V

4) The resistances in the figure shown are R1= 2.73 &Omega;, R2= 1.4 &Omega;, and R2= 2.35 &Omega;. V1 and V3 are text 0.549 V and 1.27 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.584 V. What is the absolute value of the current through R1?


 * a) 1.213E-01 A
 * b) 1.334E-01 A
 * c) 1.468E-01 A
 * d) 1.614E-01 A
 * e) 1.776E-01 A

5) A battery with a terminal voltage of 14.9 V is connected to a circuit consisting of 2 16.3 &Omega; resistors and one 9.8 &Omega; resistor. What is the voltage drop across the 9.8 &Omega; resistor?


 * a) 2.352E+00 V
 * b) 2.587E+00 V
 * c) 2.846E+00 V
 * d) 3.131E+00 V
 * e) 3.444E+00 V

6) In the circuit shown V=19.6 V, R1=1.45 &Omega;, R2=7.85 &Omega;, and R3=15.8 &Omega;. What is the power dissipated by R2?


 * a) 2.730E+01 W
 * b) 3.003E+01 W
 * c) 3.304E+01 W
 * d) 3.634E+01 W
 * e) 3.998E+01 W

7) Two sources of emf &epsilon;1=36.3 V, and  &epsilon;2=12.9 V are oriented as shownin the circuit. The resistances are R1=4.28 k&Omega; and  R2=1.58 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.16 mA and I4=1.2 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.224E+00 mA
 * b) 2.446E+00 mA
 * c) 2.691E+00 mA
 * d) 2.960E+00 mA
 * e) 3.256E+00 mA

8) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 129 V.  If the combined external and internal resistance is 169 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 109.0 V?


 * a) 2.177E+01 s
 * b) 2.394E+01 s
 * c) 2.634E+01 s
 * d) 2.897E+01 s
 * e) 3.187E+01 s

9) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=8.29 V are oriented as shownin the circuit. The resistances are R1=3.43 k&Omega; and  R2=1.16 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.09 mA and I4=1.06 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 6.720E+00 V
 * b) 7.392E+00 V
 * c) 8.131E+00 V
 * d) 8.944E+00 V
 * e) 9.838E+00 V

c10 I0
1) A given battery has a 9 V emf and an internal resistance of 0.141 &Omega;. If it is connected to a 0.663 &Omega; resistor what is the power dissipated by that load?


 * a) 5.674E+01 W
 * b) 6.242E+01 W
 * c) 6.866E+01 W
 * d) 7.553E+01 W
 * e) 8.308E+01 W

2) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 &Omega; resistors and one 9.58 &Omega; resistor. What is the voltage drop across the 9.58 &Omega; resistor?


 * a) 1.677E+00 V
 * b) 1.844E+00 V
 * c) 2.029E+00 V
 * d) 2.231E+00 V
 * e) 2.455E+00 V

3) Three resistors, R1 = 1.41 &Omega;, and R2 = R2 = 3.17 &Omega;, are connected in parallel to a 5.89 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.681E+01 W
 * b) 1.849E+01 W
 * c) 2.033E+01 W
 * d) 2.237E+01 W
 * e) 2.460E+01 W

4) In the circuit shown V=15.8 V, R1=1.86 &Omega;, R2=7.66 &Omega;, and R3=12.9 &Omega;. What is the power dissipated by R2?


 * a) 1.157E+01 W
 * b) 1.273E+01 W
 * c) 1.400E+01 W
 * d) 1.540E+01 W
 * e) 1.694E+01 W

5) The resistances in the figure shown are R1= 2.41 &Omega;, R2= 1.74 &Omega;, and R2= 3.35 &Omega;. V1 and V3 are text 0.508 V and 1.36 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.595 V. What is the absolute value of the current through R1?


 * a) 1.203E-01 A
 * b) 1.324E-01 A
 * c) 1.456E-01 A
 * d) 1.602E-01 A
 * e) 1.762E-01 A

6) Two sources of emf &epsilon;1=20.6 V, and  &epsilon;2=9.53 V are oriented as shownin the circuit. The resistances are R1=5.46 k&Omega; and  R2=2.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.5 mA and I4=0.415 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.085E+00 mA
 * b) 1.194E+00 mA
 * c) 1.313E+00 mA
 * d) 1.444E+00 mA
 * e) 1.589E+00 mA

7) Two sources of emf &epsilon;1=35.5 V, and  &epsilon;2=12.3 V are oriented as shownin the circuit. The resistances are R1=4.49 k&Omega; and  R2=1.53 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.63 mA and I4=0.972 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 1.093E+01 V
 * b) 1.202E+01 V
 * c) 1.322E+01 V
 * d) 1.454E+01 V
 * e) 1.600E+01 V

8) Two sources of emf &epsilon;1=17.3 V, and  &epsilon;2=6.46 V are oriented as shownin the circuit. The resistances are R1=2.54 k&Omega; and  R2=2.79 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.1 mA and I4=0.281 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 6.488E+00 V
 * b) 7.137E+00 V
 * c) 7.850E+00 V
 * d) 8.635E+00 V
 * e) 9.499E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 439 V.  If the combined external and internal resistance is 221 &Omega and the capacitance is  54 mF, how long will it take for the capacitor's voltage to reach 350.0 V?


 * a) 1.905E+01 s
 * b) 2.095E+01 s
 * c) 2.304E+01 s
 * d) 2.535E+01 s
 * e) 2.788E+01 s

c10 I1
1) A given battery has a 9 V emf and an internal resistance of 0.141 &Omega;. If it is connected to a 0.663 &Omega; resistor what is the power dissipated by that load?


 * a) 5.674E+01 W
 * b) 6.242E+01 W
 * c) 6.866E+01 W
 * d) 7.553E+01 W
 * e) 8.308E+01 W

2) Two sources of emf &epsilon;1=18.6 V, and  &epsilon;2=5.63 V are oriented as shownin the circuit. The resistances are R1=3.9 k&Omega; and  R2=1.1 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.41 mA and I4=0.614 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 4.342E+00 V
 * b) 4.776E+00 V
 * c) 5.254E+00 V
 * d) 5.779E+00 V
 * e) 6.357E+00 V

3) In the circuit shown V=11.8 V, R1=2.38 &Omega;, R2=5.11 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * a) 8.489E+00 W
 * b) 9.338E+00 W
 * c) 1.027E+01 W
 * d) 1.130E+01 W
 * e) 1.243E+01 W

4) Three resistors, R1 = 1.41 &Omega;, and R2 = R2 = 3.17 &Omega;, are connected in parallel to a 5.89 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.681E+01 W
 * b) 1.849E+01 W
 * c) 2.033E+01 W
 * d) 2.237E+01 W
 * e) 2.460E+01 W

5) Two sources of emf &epsilon;1=21.0 V, and  &epsilon;2=8.72 V are oriented as shownin the circuit. The resistances are R1=3.12 k&Omega; and  R2=1.15 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.41 mA and I4=0.816 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 5.267E+00 V
 * b) 5.794E+00 V
 * c) 6.373E+00 V
 * d) 7.011E+00 V
 * e) 7.712E+00 V

6) The resistances in the figure shown are R1= 2.04 &Omega;, R2= 1.19 &Omega;, and R2= 2.5 &Omega;. V1 and V3 are text 0.507 V and 3.07 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.602 V. What is the absolute value of the current through R1?


 * a) 1.401E-01 A
 * b) 1.542E-01 A
 * c) 1.696E-01 A
 * d) 1.865E-01 A
 * e) 2.052E-01 A

7) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 554 V.  If the combined external and internal resistance is 228 &Omega and the capacitance is  93 mF, how long will it take for the capacitor's voltage to reach 450.0 V?


 * a) 3.224E+01 s
 * b) 3.547E+01 s
 * c) 3.902E+01 s
 * d) 4.292E+01 s
 * e) 4.721E+01 s

8) Two sources of emf &epsilon;1=43.0 V, and  &epsilon;2=13.8 V are oriented as shownin the circuit. The resistances are R1=3.97 k&Omega; and  R2=1.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=6.25 mA and I4=1.82 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 3.661E+00 mA
 * b) 4.027E+00 mA
 * c) 4.430E+00 mA
 * d) 4.873E+00 mA
 * e) 5.360E+00 mA

9) A battery with a terminal voltage of 7.82 V is connected to a circuit consisting of 2 19.3 &Omega; resistors and one 12.2 &Omega; resistor. What is the voltage drop across the 12.2 &Omega; resistor?


 * a) 1.552E+00 V
 * b) 1.707E+00 V
 * c) 1.878E+00 V
 * d) 2.066E+00 V
 * e) 2.272E+00 V

c10 I2
1) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * a) 1.234E+00 V
 * b) 1.358E+00 V
 * c) 1.493E+00 V
 * d) 1.643E+00 V
 * e) 1.807E+00 V

2) Two sources of emf &epsilon;1=30.5 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.79 k&Omega; and  R2=1.86 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.07 mA and I4=0.73 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.281E+00 mA
 * b) 2.509E+00 mA
 * c) 2.760E+00 mA
 * d) 3.036E+00 mA
 * e) 3.340E+00 mA

3) Two sources of emf &epsilon;1=57.0 V, and  &epsilon;2=18.1 V are oriented as shownin the circuit. The resistances are R1=4.95 k&Omega; and  R2=2.09 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.23 mA and I4=1.04 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 1.921E+01 V
 * b) 2.114E+01 V
 * c) 2.325E+01 V
 * d) 2.557E+01 V
 * e) 2.813E+01 V

4) A given battery has a 15 V emf and an internal resistance of 0.113 &Omega;. If it is connected to a 0.645 &Omega; resistor what is the power dissipated by that load?


 * a) 1.898E+02 W
 * b) 2.087E+02 W
 * c) 2.296E+02 W
 * d) 2.526E+02 W
 * e) 2.778E+02 W

5) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 467 V.  If the combined external and internal resistance is 172 &Omega and the capacitance is  74 mF, how long will it take for the capacitor's voltage to reach 258.0 V?


 * a) 7.688E+00 s
 * b) 8.457E+00 s
 * c) 9.303E+00 s
 * d) 1.023E+01 s
 * e) 1.126E+01 s

6) In the circuit shown V=15.4 V, R1=2.55 &Omega;, R2=5.12 &Omega;, and R3=12.7 &Omega;. What is the power dissipated by R2?


 * a) 1.096E+01 W
 * b) 1.206E+01 W
 * c) 1.326E+01 W
 * d) 1.459E+01 W
 * e) 1.605E+01 W

7) The resistances in the figure shown are R1= 1.18 &Omega;, R2= 0.878 &Omega;, and R2= 2.11 &Omega;. V1 and V3 are text 0.637 V and 3.51 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.547 V. What is the absolute value of the current through R1?


 * a) 1.701E-01 A
 * b) 1.871E-01 A
 * c) 2.058E-01 A
 * d) 2.264E-01 A
 * e) 2.490E-01 A

8) Three resistors, R1 = 1.25 &Omega;, and R2 = R2 = 2.82 &Omega;, are connected in parallel to a 8.6 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 4.890E+01 W
 * b) 5.379E+01 W
 * c) 5.917E+01 W
 * d) 6.508E+01 W
 * e) 7.159E+01 W

9) Two sources of emf &epsilon;1=45.3 V, and  &epsilon;2=13.3 V are oriented as shownin the circuit. The resistances are R1=3.82 k&Omega; and  R2=1.5 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=6.17 mA and I4=1.11 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.177E+01 V
 * b) 1.295E+01 V
 * c) 1.424E+01 V
 * d) 1.567E+01 V
 * e) 1.723E+01 V

c10 J0
1) A given battery has a 15 V emf and an internal resistance of 0.162 &Omega;. If it is connected to a 0.561 &Omega; resistor what is the power dissipated by that load?


 * a) 1.814E+02 W
 * b) 1.996E+02 W
 * c) 2.195E+02 W
 * d) 2.415E+02 W
 * e) 2.656E+02 W

2) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 2 15.9 &Omega; resistors and one 10.4 &Omega; resistor. What is the voltage drop across the 10.4 &Omega; resistor?


 * a) 1.709E+00 V
 * b) 1.880E+00 V
 * c) 2.068E+00 V
 * d) 2.275E+00 V
 * e) 2.503E+00 V

3) Three resistors, R1 = 0.855 &Omega;, and R2 = R2 = 1.91 &Omega;, are connected in parallel to a 6.97 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 5.682E+01 W
 * b) 6.250E+01 W
 * c) 6.875E+01 W
 * d) 7.563E+01 W
 * e) 8.319E+01 W

4) In the circuit shown V=17.9 V, R1=1.3 &Omega;, R2=5.1 &Omega;, and R3=12.1 &Omega;. What is the power dissipated by R2?


 * a) 2.543E+01 W
 * b) 2.798E+01 W
 * c) 3.077E+01 W
 * d) 3.385E+01 W
 * e) 3.724E+01 W

5) The resistances in the figure shown are R1= 2.67 &Omega;, R2= 1.78 &Omega;, and R2= 3.63 &Omega;. V1 and V3 are text 0.448 V and 2.29 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.656 V. What is the absolute value of the current through R1?


 * a) 9.287E-02 A
 * b) 1.022E-01 A
 * c) 1.124E-01 A
 * d) 1.236E-01 A
 * e) 1.360E-01 A

6) Two sources of emf &epsilon;1=49.6 V, and  &epsilon;2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 3.055E+00 mA
 * b) 3.360E+00 mA
 * c) 3.696E+00 mA
 * d) 4.066E+00 mA
 * e) 4.472E+00 mA

7) Two sources of emf &epsilon;1=27.1 V, and  &epsilon;2=8.04 V are oriented as shownin the circuit. The resistances are R1=2.94 k&Omega; and  R2=1.61 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.87 mA and I4=0.57 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 8.482E+00 V
 * b) 9.330E+00 V
 * c) 1.026E+01 V
 * d) 1.129E+01 V
 * e) 1.242E+01 V

8) Two sources of emf &epsilon;1=14.3 V, and  &epsilon;2=5.6 V are oriented as shownin the circuit. The resistances are R1=5.31 k&Omega; and  R2=2.39 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.12 mA and I4=0.284 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 3.416E+00 V
 * b) 3.757E+00 V
 * c) 4.133E+00 V
 * d) 4.546E+00 V
 * e) 5.001E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 319 V.  If the combined external and internal resistance is 231 &Omega and the capacitance is  64 mF, how long will it take for the capacitor's voltage to reach 175.0 V?


 * a) 9.718E+00 s
 * b) 1.069E+01 s
 * c) 1.176E+01 s
 * d) 1.293E+01 s
 * e) 1.423E+01 s

c10 J1
1) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 190 V.  If the combined external and internal resistance is 255 &Omega and the capacitance is  54 mF, how long will it take for the capacitor's voltage to reach 101.0 V?


 * a) 1.044E+01 s
 * b) 1.149E+01 s
 * c) 1.264E+01 s
 * d) 1.390E+01 s
 * e) 1.529E+01 s

2) The resistances in the figure shown are R1= 1.1 &Omega;, R2= 1.55 &Omega;, and R2= 2.11 &Omega;. V1 and V3 are text 0.545 V and 3.22 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.744 V. What is the absolute value of the current through R1?


 * a) 1.886E-01 A
 * b) 2.075E-01 A
 * c) 2.282E-01 A
 * d) 2.510E-01 A
 * e) 2.761E-01 A

3) Two sources of emf &epsilon;1=21.6 V, and  &epsilon;2=8.59 V are oriented as shownin the circuit. The resistances are R1=4.97 k&Omega; and  R2=1.69 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.2 mA and I4=0.749 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 6.064E+00 V
 * b) 6.670E+00 V
 * c) 7.337E+00 V
 * d) 8.071E+00 V
 * e) 8.878E+00 V

4) In the circuit shown V=15.8 V, R1=1.86 &Omega;, R2=7.66 &Omega;, and R3=12.9 &Omega;. What is the power dissipated by R2?


 * a) 1.157E+01 W
 * b) 1.273E+01 W
 * c) 1.400E+01 W
 * d) 1.540E+01 W
 * e) 1.694E+01 W

5) A given battery has a 14 V emf and an internal resistance of 0.192 &Omega;. If it is connected to a 0.766 &Omega; resistor what is the power dissipated by that load?


 * a) 1.229E+02 W
 * b) 1.352E+02 W
 * c) 1.487E+02 W
 * d) 1.636E+02 W
 * e) 1.799E+02 W

6) Three resistors, R1 = 0.855 &Omega;, and R2 = R2 = 1.91 &Omega;, are connected in parallel to a 6.97 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 5.682E+01 W
 * b) 6.250E+01 W
 * c) 6.875E+01 W
 * d) 7.563E+01 W
 * e) 8.319E+01 W

7) Two sources of emf &epsilon;1=20.6 V, and  &epsilon;2=9.53 V are oriented as shownin the circuit. The resistances are R1=5.46 k&Omega; and  R2=2.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.5 mA and I4=0.415 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.085E+00 mA
 * b) 1.194E+00 mA
 * c) 1.313E+00 mA
 * d) 1.444E+00 mA
 * e) 1.589E+00 mA

8) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * a) 1.234E+00 V
 * b) 1.358E+00 V
 * c) 1.493E+00 V
 * d) 1.643E+00 V
 * e) 1.807E+00 V

9) Two sources of emf &epsilon;1=16.8 V, and  &epsilon;2=7.15 V are oriented as shownin the circuit. The resistances are R1=3.12 k&Omega; and  R2=1.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.95 mA and I4=0.603 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 4.108E+00 V
 * b) 4.519E+00 V
 * c) 4.970E+00 V
 * d) 5.468E+00 V
 * e) 6.014E+00 V

c10 J2
1) A battery with a terminal voltage of 6.49 V is connected to a circuit consisting of 3 18.0 &Omega; resistors and one 10.3 &Omega; resistor. What is the voltage drop across the 10.3 &Omega; resistor?


 * a) 7.101E-01 V
 * b) 7.811E-01 V
 * c) 8.592E-01 V
 * d) 9.451E-01 V
 * e) 1.040E+00 V

2) In the circuit shown V=18.4 V, R1=1.64 &Omega;, R2=6.56 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * a) 2.470E+01 W
 * b) 2.717E+01 W
 * c) 2.989E+01 W
 * d) 3.288E+01 W
 * e) 3.617E+01 W

3) Two sources of emf &epsilon;1=26.8 V, and  &epsilon;2=10.1 V are oriented as shownin the circuit. The resistances are R1=2.2 k&Omega; and  R2=2.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.29 mA and I4=0.464 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 3.436E+00 V
 * b) 3.779E+00 V
 * c) 4.157E+00 V
 * d) 4.573E+00 V
 * e) 5.030E+00 V

4) Three resistors, R1 = 1.25 &Omega;, and R2 = R2 = 2.82 &Omega;, are connected in parallel to a 8.6 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 4.890E+01 W
 * b) 5.379E+01 W
 * c) 5.917E+01 W
 * d) 6.508E+01 W
 * e) 7.159E+01 W

5) A given battery has a 12 V emf and an internal resistance of 0.0984 &Omega;. If it is connected to a 0.485 &Omega; resistor what is the power dissipated by that load?


 * a) 2.052E+02 W
 * b) 2.257E+02 W
 * c) 2.483E+02 W
 * d) 2.731E+02 W
 * e) 3.004E+02 W

6) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 190 V.  If the combined external and internal resistance is 255 &Omega and the capacitance is  54 mF, how long will it take for the capacitor's voltage to reach 101.0 V?


 * a) 1.044E+01 s
 * b) 1.149E+01 s
 * c) 1.264E+01 s
 * d) 1.390E+01 s
 * e) 1.529E+01 s

7) The resistances in the figure shown are R1= 1.81 &Omega;, R2= 1.18 &Omega;, and R2= 2.62 &Omega;. V1 and V3 are text 0.628 V and 2.54 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.748 V. What is the absolute value of the current through R1?


 * a) 1.552E-01 A
 * b) 1.707E-01 A
 * c) 1.878E-01 A
 * d) 2.065E-01 A
 * e) 2.272E-01 A

8) Two sources of emf &epsilon;1=27.9 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=2.82 k&Omega; and  R2=2.25 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.1 mA and I4=0.676 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 8.334E+00 V
 * b) 9.167E+00 V
 * c) 1.008E+01 V
 * d) 1.109E+01 V
 * e) 1.220E+01 V

9) Two sources of emf &epsilon;1=20.6 V, and  &epsilon;2=9.53 V are oriented as shownin the circuit. The resistances are R1=5.46 k&Omega; and  R2=2.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.5 mA and I4=0.415 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.085E+00 mA
 * b) 1.194E+00 mA
 * c) 1.313E+00 mA
 * d) 1.444E+00 mA
 * e) 1.589E+00 mA

c10 K0
1) A given battery has a 9 V emf and an internal resistance of 0.16 &Omega;. If it is connected to a 0.45 &Omega; resistor what is the power dissipated by that load?


 * a) 6.691E+01 W
 * b) 7.360E+01 W
 * c) 8.096E+01 W
 * d) 8.905E+01 W
 * e) 9.796E+01 W

2) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 &Omega; resistors and one 10.2 &Omega; resistor. What is the voltage drop across the 10.2 &Omega; resistor?


 * a) 2.074E+00 V
 * b) 2.282E+00 V
 * c) 2.510E+00 V
 * d) 2.761E+00 V
 * e) 3.037E+00 V

3) Three resistors, R1 = 1.41 &Omega;, and R2 = R2 = 3.17 &Omega;, are connected in parallel to a 5.89 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.681E+01 W
 * b) 1.849E+01 W
 * c) 2.033E+01 W
 * d) 2.237E+01 W
 * e) 2.460E+01 W

4) In the circuit shown V=15.4 V, R1=2.77 &Omega;, R2=6.07 &Omega;, and R3=14.5 &Omega;. What is the power dissipated by R2?


 * a) 1.190E+01 W
 * b) 1.309E+01 W
 * c) 1.440E+01 W
 * d) 1.584E+01 W
 * e) 1.742E+01 W

5) The resistances in the figure shown are R1= 2.24 &Omega;, R2= 1.03 &Omega;, and R2= 2.39 &Omega;. V1 and V3 are text 0.595 V and 2.58 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.707 V. What is the absolute value of the current through R1?


 * a) 1.834E-01 A
 * b) 2.018E-01 A
 * c) 2.220E-01 A
 * d) 2.441E-01 A
 * e) 2.686E-01 A

6) Two sources of emf &epsilon;1=18.2 V, and  &epsilon;2=6.59 V are oriented as shownin the circuit. The resistances are R1=5.47 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.64 mA and I4=0.341 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.299E+00 mA
 * b) 1.429E+00 mA
 * c) 1.572E+00 mA
 * d) 1.729E+00 mA
 * e) 1.902E+00 mA

7) Two sources of emf &epsilon;1=16.8 V, and  &epsilon;2=7.15 V are oriented as shownin the circuit. The resistances are R1=3.12 k&Omega; and  R2=1.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.95 mA and I4=0.603 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 4.108E+00 V
 * b) 4.519E+00 V
 * c) 4.970E+00 V
 * d) 5.468E+00 V
 * e) 6.014E+00 V

8) Two sources of emf &epsilon;1=24.4 V, and  &epsilon;2=6.73 V are oriented as shownin the circuit. The resistances are R1=5.7 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.36 mA and I4=0.418 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 5.418E+00 V
 * b) 5.960E+00 V
 * c) 6.556E+00 V
 * d) 7.212E+00 V
 * e) 7.933E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 327 V.  If the combined external and internal resistance is 204 &Omega and the capacitance is  68 mF, how long will it take for the capacitor's voltage to reach 218.0 V?


 * a) 1.385E+01 s
 * b) 1.524E+01 s
 * c) 1.676E+01 s
 * d) 1.844E+01 s
 * e) 2.028E+01 s

c10 K1
1) Two sources of emf &epsilon;1=30.6 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.46 k&Omega; and  R2=2.77 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.97 mA and I4=0.643 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 4.986E+00 V
 * b) 5.484E+00 V
 * c) 6.033E+00 V
 * d) 6.636E+00 V
 * e) 7.299E+00 V

2) In the circuit shown V=18.8 V, R1=2.59 &Omega;, R2=5.47 &Omega;, and R3=15.8 &Omega;. What is the power dissipated by R2?


 * a) 2.191E+01 W
 * b) 2.410E+01 W
 * c) 2.651E+01 W
 * d) 2.916E+01 W
 * e) 3.208E+01 W

3) A battery with a terminal voltage of 12.4 V is connected to a circuit consisting of 3 21.6 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * a) 1.333E+00 V
 * b) 1.466E+00 V
 * c) 1.612E+00 V
 * d) 1.774E+00 V
 * e) 1.951E+00 V

4) Three resistors, R1 = 1.43 &Omega;, and R2 = R2 = 3.25 &Omega;, are connected in parallel to a 9.03 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 5.184E+01 W
 * b) 5.702E+01 W
 * c) 6.272E+01 W
 * d) 6.900E+01 W
 * e) 7.590E+01 W

5) Two sources of emf &epsilon;1=39.0 V, and  &epsilon;2=15.9 V are oriented as shownin the circuit. The resistances are R1=3.4 k&Omega; and  R2=2.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.58 mA and I4=0.978 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.150E+00 mA
 * b) 2.365E+00 mA
 * c) 2.602E+00 mA
 * d) 2.862E+00 mA
 * e) 3.148E+00 mA

6) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 130 V.  If the combined external and internal resistance is 109 &Omega and the capacitance is  59 mF, how long will it take for the capacitor's voltage to reach 69.9 V?


 * a) 3.728E+00 s
 * b) 4.101E+00 s
 * c) 4.511E+00 s
 * d) 4.962E+00 s
 * e) 5.458E+00 s

7) Two sources of emf &epsilon;1=18.6 V, and  &epsilon;2=5.63 V are oriented as shownin the circuit. The resistances are R1=3.9 k&Omega; and  R2=1.1 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.41 mA and I4=0.614 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 4.342E+00 V
 * b) 4.776E+00 V
 * c) 5.254E+00 V
 * d) 5.779E+00 V
 * e) 6.357E+00 V

8) The resistances in the figure shown are R1= 1.6 &Omega;, R2= 1.3 &Omega;, and R2= 2.22 &Omega;. V1 and V3 are text 0.55 V and 3.18 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.743 V. What is the absolute value of the current through R1?


 * a) 1.721E-01 A
 * b) 1.893E-01 A
 * c) 2.082E-01 A
 * d) 2.291E-01 A
 * e) 2.520E-01 A

9) A given battery has a 12 V emf and an internal resistance of 0.0984 &Omega;. If it is connected to a 0.485 &Omega; resistor what is the power dissipated by that load?


 * a) 2.052E+02 W
 * b) 2.257E+02 W
 * c) 2.483E+02 W
 * d) 2.731E+02 W
 * e) 3.004E+02 W

c10 K2
1) Two sources of emf &epsilon;1=29.3 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=5.65 k&Omega; and  R2=2.68 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.81 mA and I4=0.525 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.717E+00 mA
 * b) 1.888E+00 mA
 * c) 2.077E+00 mA
 * d) 2.285E+00 mA
 * e) 2.514E+00 mA

2) Two sources of emf &epsilon;1=39.2 V, and  &epsilon;2=12.6 V are oriented as shownin the circuit. The resistances are R1=3.86 k&Omega; and  R2=1.89 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.05 mA and I4=0.701 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 8.687E+00 V
 * b) 9.555E+00 V
 * c) 1.051E+01 V
 * d) 1.156E+01 V
 * e) 1.272E+01 V

3) Two sources of emf &epsilon;1=46.1 V, and  &epsilon;2=16.2 V are oriented as shownin the circuit. The resistances are R1=5.17 k&Omega; and  R2=2.06 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.97 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.309E+01 V
 * b) 1.440E+01 V
 * c) 1.584E+01 V
 * d) 1.742E+01 V
 * e) 1.917E+01 V

4) In the circuit shown V=11.9 V, R1=2.75 &Omega;, R2=7.19 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * a) 7.982E+00 W
 * b) 8.780E+00 W
 * c) 9.658E+00 W
 * d) 1.062E+01 W
 * e) 1.169E+01 W

5) A given battery has a 13 V emf and an internal resistance of 0.113 &Omega;. If it is connected to a 0.686 &Omega; resistor what is the power dissipated by that load?


 * a) 1.501E+02 W
 * b) 1.651E+02 W
 * c) 1.816E+02 W
 * d) 1.998E+02 W
 * e) 2.197E+02 W

6) The resistances in the figure shown are R1= 2.34 &Omega;, R2= 1.34 &Omega;, and R2= 2.94 &Omega;. V1 and V3 are text 0.609 V and 1.68 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.541 V. What is the absolute value of the current through R1?


 * a) 1.464E-01 A
 * b) 1.610E-01 A
 * c) 1.772E-01 A
 * d) 1.949E-01 A
 * e) 2.144E-01 A

7) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 351 V.  If the combined external and internal resistance is 148 &Omega and the capacitance is  60 mF, how long will it take for the capacitor's voltage to reach 227.0 V?


 * a) 9.240E+00 s
 * b) 1.016E+01 s
 * c) 1.118E+01 s
 * d) 1.230E+01 s
 * e) 1.353E+01 s

8) A battery with a terminal voltage of 7.82 V is connected to a circuit consisting of 2 19.3 &Omega; resistors and one 12.2 &Omega; resistor. What is the voltage drop across the 12.2 &Omega; resistor?


 * a) 1.552E+00 V
 * b) 1.707E+00 V
 * c) 1.878E+00 V
 * d) 2.066E+00 V
 * e) 2.272E+00 V

9) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.842E+01 W
 * b) 2.026E+01 W
 * c) 2.228E+01 W
 * d) 2.451E+01 W
 * e) 2.696E+01 W

c10 L0
1) A given battery has a 9 V emf and an internal resistance of 0.16 &Omega;. If it is connected to a 0.45 &Omega; resistor what is the power dissipated by that load?


 * a) 6.691E+01 W
 * b) 7.360E+01 W
 * c) 8.096E+01 W
 * d) 8.905E+01 W
 * e) 9.796E+01 W

2) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 &Omega; resistors and one 10.2 &Omega; resistor. What is the voltage drop across the 10.2 &Omega; resistor?


 * a) 2.074E+00 V
 * b) 2.282E+00 V
 * c) 2.510E+00 V
 * d) 2.761E+00 V
 * e) 3.037E+00 V

3) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.842E+01 W
 * b) 2.026E+01 W
 * c) 2.228E+01 W
 * d) 2.451E+01 W
 * e) 2.696E+01 W

4) In the circuit shown V=17.5 V, R1=2.34 &Omega;, R2=7.1 &Omega;, and R3=15.3 &Omega;. What is the power dissipated by R2?


 * a) 1.784E+01 W
 * b) 1.963E+01 W
 * c) 2.159E+01 W
 * d) 2.375E+01 W
 * e) 2.612E+01 W

5) The resistances in the figure shown are R1= 2.74 &Omega;, R2= 1.63 &Omega;, and R2= 2.75 &Omega;. V1 and V3 are text 0.485 V and 2.01 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.555 V. What is the absolute value of the current through R1?


 * a) 1.114E-01 A
 * b) 1.225E-01 A
 * c) 1.348E-01 A
 * d) 1.483E-01 A
 * e) 1.631E-01 A

6) Two sources of emf &epsilon;1=18.2 V, and  &epsilon;2=6.59 V are oriented as shownin the circuit. The resistances are R1=5.47 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.64 mA and I4=0.341 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.299E+00 mA
 * b) 1.429E+00 mA
 * c) 1.572E+00 mA
 * d) 1.729E+00 mA
 * e) 1.902E+00 mA

7) Two sources of emf &epsilon;1=28.6 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=3.73 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.27 mA and I4=0.774 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 6.641E+00 V
 * b) 7.305E+00 V
 * c) 8.035E+00 V
 * d) 8.839E+00 V
 * e) 9.723E+00 V

8) Two sources of emf &epsilon;1=18.6 V, and  &epsilon;2=5.63 V are oriented as shownin the circuit. The resistances are R1=3.9 k&Omega; and  R2=1.1 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.41 mA and I4=0.614 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 4.342E+00 V
 * b) 4.776E+00 V
 * c) 5.254E+00 V
 * d) 5.779E+00 V
 * e) 6.357E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 319 V.  If the combined external and internal resistance is 231 &Omega and the capacitance is  64 mF, how long will it take for the capacitor's voltage to reach 175.0 V?


 * a) 9.718E+00 s
 * b) 1.069E+01 s
 * c) 1.176E+01 s
 * d) 1.293E+01 s
 * e) 1.423E+01 s

c10 L1
1) A battery with a terminal voltage of 14.9 V is connected to a circuit consisting of 2 16.3 &Omega; resistors and one 9.8 &Omega; resistor. What is the voltage drop across the 9.8 &Omega; resistor?


 * a) 2.352E+00 V
 * b) 2.587E+00 V
 * c) 2.846E+00 V
 * d) 3.131E+00 V
 * e) 3.444E+00 V

2) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=13.6 V are oriented as shownin the circuit. The resistances are R1=2.86 k&Omega; and  R2=2.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.02 mA and I4=0.854 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.380E+01 V
 * b) 1.518E+01 V
 * c) 1.670E+01 V
 * d) 1.837E+01 V
 * e) 2.020E+01 V

3) The resistances in the figure shown are R1= 2.74 &Omega;, R2= 1.63 &Omega;, and R2= 2.75 &Omega;. V1 and V3 are text 0.485 V and 2.01 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.555 V. What is the absolute value of the current through R1?


 * a) 1.114E-01 A
 * b) 1.225E-01 A
 * c) 1.348E-01 A
 * d) 1.483E-01 A
 * e) 1.631E-01 A

4) Two sources of emf &epsilon;1=49.8 V, and  &epsilon;2=18.1 V are oriented as shownin the circuit. The resistances are R1=2.78 k&Omega; and  R2=2.63 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.51 mA and I4=0.969 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 7.886E+00 V
 * b) 8.675E+00 V
 * c) 9.542E+00 V
 * d) 1.050E+01 V
 * e) 1.155E+01 V

5) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 130 V.  If the combined external and internal resistance is 109 &Omega and the capacitance is  59 mF, how long will it take for the capacitor's voltage to reach 69.9 V?


 * a) 3.728E+00 s
 * b) 4.101E+00 s
 * c) 4.511E+00 s
 * d) 4.962E+00 s
 * e) 5.458E+00 s

6) Three resistors, R1 = 0.624 &Omega;, and R2 = R2 = 1.37 &Omega;, are connected in parallel to a 7.46 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 7.371E+01 W
 * b) 8.108E+01 W
 * c) 8.919E+01 W
 * d) 9.810E+01 W
 * e) 1.079E+02 W

7) In the circuit shown V=13.5 V, R1=2.66 &Omega;, R2=7.29 &Omega;, and R3=14.5 &Omega;. What is the power dissipated by R2?


 * a) 7.123E+00 W
 * b) 7.835E+00 W
 * c) 8.618E+00 W
 * d) 9.480E+00 W
 * e) 1.043E+01 W

8) Two sources of emf &epsilon;1=44.4 V, and  &epsilon;2=16.8 V are oriented as shownin the circuit. The resistances are R1=4.58 k&Omega; and  R2=1.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=8.43 mA and I4=1.46 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 6.970E+00 mA
 * b) 7.667E+00 mA
 * c) 8.434E+00 mA
 * d) 9.277E+00 mA
 * e) 1.020E+01 mA

9) A given battery has a 14 V emf and an internal resistance of 0.192 &Omega;. If it is connected to a 0.766 &Omega; resistor what is the power dissipated by that load?


 * a) 1.229E+02 W
 * b) 1.352E+02 W
 * c) 1.487E+02 W
 * d) 1.636E+02 W
 * e) 1.799E+02 W

c10 L2
1) Two sources of emf &epsilon;1=49.6 V, and  &epsilon;2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 3.055E+00 mA
 * b) 3.360E+00 mA
 * c) 3.696E+00 mA
 * d) 4.066E+00 mA
 * e) 4.472E+00 mA

2) A given battery has a 15 V emf and an internal resistance of 0.177 &Omega;. If it is connected to a 0.824 &Omega; resistor what is the power dissipated by that load?


 * a) 1.682E+02 W
 * b) 1.850E+02 W
 * c) 2.035E+02 W
 * d) 2.239E+02 W
 * e) 2.463E+02 W

3) The resistances in the figure shown are R1= 2.67 &Omega;, R2= 1.78 &Omega;, and R2= 3.63 &Omega;. V1 and V3 are text 0.448 V and 2.29 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.656 V. What is the absolute value of the current through R1?


 * a) 9.287E-02 A
 * b) 1.022E-01 A
 * c) 1.124E-01 A
 * d) 1.236E-01 A
 * e) 1.360E-01 A

4) Two sources of emf &epsilon;1=52.7 V, and  &epsilon;2=17.5 V are oriented as shownin the circuit. The resistances are R1=5.86 k&Omega; and  R2=2.08 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.48 mA and I4=0.988 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 2.064E+01 V
 * b) 2.270E+01 V
 * c) 2.497E+01 V
 * d) 2.747E+01 V
 * e) 3.021E+01 V

5) A battery with a terminal voltage of 8.66 V is connected to a circuit consisting of 3 19.6 &Omega; resistors and one 10.6 &Omega; resistor. What is the voltage drop across the 10.6 &Omega; resistor?


 * a) 1.202E+00 V
 * b) 1.323E+00 V
 * c) 1.455E+00 V
 * d) 1.600E+00 V
 * e) 1.761E+00 V

6) Three resistors, R1 = 1.31 &Omega;, and R2 = R2 = 2.91 &Omega;, are connected in parallel to a 6.03 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 2.294E+01 W
 * b) 2.523E+01 W
 * c) 2.776E+01 W
 * d) 3.053E+01 W
 * e) 3.359E+01 W

7) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 129 V.  If the combined external and internal resistance is 169 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 109.0 V?


 * a) 2.177E+01 s
 * b) 2.394E+01 s
 * c) 2.634E+01 s
 * d) 2.897E+01 s
 * e) 3.187E+01 s

8) In the circuit shown V=19.6 V, R1=1.45 &Omega;, R2=7.85 &Omega;, and R3=15.8 &Omega;. What is the power dissipated by R2?


 * a) 2.730E+01 W
 * b) 3.003E+01 W
 * c) 3.304E+01 W
 * d) 3.634E+01 W
 * e) 3.998E+01 W

9) Two sources of emf &epsilon;1=42.2 V, and  &epsilon;2=17.8 V are oriented as shownin the circuit. The resistances are R1=4.2 k&Omega; and  R2=2.83 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.5 mA and I4=0.749 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.056E+01 V
 * b) 1.161E+01 V
 * c) 1.277E+01 V
 * d) 1.405E+01 V
 * e) 1.545E+01 V

c10 M0
1) A given battery has a 11 V emf and an internal resistance of 0.0998 &Omega;. If it is connected to a 0.417 &Omega; resistor what is the power dissipated by that load?


 * a) 1.419E+02 W
 * b) 1.561E+02 W
 * c) 1.717E+02 W
 * d) 1.889E+02 W
 * e) 2.078E+02 W

2) A battery with a terminal voltage of 8.66 V is connected to a circuit consisting of 3 19.6 &Omega; resistors and one 10.6 &Omega; resistor. What is the voltage drop across the 10.6 &Omega; resistor?


 * a) 1.202E+00 V
 * b) 1.323E+00 V
 * c) 1.455E+00 V
 * d) 1.600E+00 V
 * e) 1.761E+00 V

3) Three resistors, R1 = 1.23 &Omega;, and R2 = R2 = 2.73 &Omega;, are connected in parallel to a 5.41 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.788E+01 W
 * b) 1.967E+01 W
 * c) 2.163E+01 W
 * d) 2.380E+01 W
 * e) 2.617E+01 W

4) In the circuit shown V=15.2 V, R1=1.6 &Omega;, R2=7.89 &Omega;, and R3=15.3 &Omega;. What is the power dissipated by R2?


 * a) 1.713E+01 W
 * b) 1.885E+01 W
 * c) 2.073E+01 W
 * d) 2.280E+01 W
 * e) 2.508E+01 W

5) The resistances in the figure shown are R1= 1.57 &Omega;, R2= 1.25 &Omega;, and R2= 3.38 &Omega;. V1 and V3 are text 0.585 V and 2.91 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.55 V. What is the absolute value of the current through R1?


 * a) 1.427E-01 A
 * b) 1.569E-01 A
 * c) 1.726E-01 A
 * d) 1.899E-01 A
 * e) 2.089E-01 A

6) Two sources of emf &epsilon;1=36.3 V, and  &epsilon;2=12.9 V are oriented as shownin the circuit. The resistances are R1=4.28 k&Omega; and  R2=1.58 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.16 mA and I4=1.2 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.224E+00 mA
 * b) 2.446E+00 mA
 * c) 2.691E+00 mA
 * d) 2.960E+00 mA
 * e) 3.256E+00 mA

7) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=8.29 V are oriented as shownin the circuit. The resistances are R1=3.43 k&Omega; and  R2=1.16 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.09 mA and I4=1.06 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 6.720E+00 V
 * b) 7.392E+00 V
 * c) 8.131E+00 V
 * d) 8.944E+00 V
 * e) 9.838E+00 V

8) Two sources of emf &epsilon;1=67.2 V, and  &epsilon;2=18.7 V are oriented as shownin the circuit. The resistances are R1=3.45 k&Omega; and  R2=1.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=9.49 mA and I4=1.81 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.906E+01 V
 * b) 2.097E+01 V
 * c) 2.306E+01 V
 * d) 2.537E+01 V
 * e) 2.790E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 301 V.  If the combined external and internal resistance is 245 &Omega and the capacitance is  63 mF, how long will it take for the capacitor's voltage to reach 192.0 V?


 * a) 1.296E+01 s
 * b) 1.425E+01 s
 * c) 1.568E+01 s
 * d) 1.725E+01 s
 * e) 1.897E+01 s

c10 M1
1) Three resistors, R1 = 0.624 &Omega;, and R2 = R2 = 1.37 &Omega;, are connected in parallel to a 7.46 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 7.371E+01 W
 * b) 8.108E+01 W
 * c) 8.919E+01 W
 * d) 9.810E+01 W
 * e) 1.079E+02 W

2) Two sources of emf &epsilon;1=27.9 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=2.82 k&Omega; and  R2=2.25 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.1 mA and I4=0.676 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 8.334E+00 V
 * b) 9.167E+00 V
 * c) 1.008E+01 V
 * d) 1.109E+01 V
 * e) 1.220E+01 V

3) A battery with a terminal voltage of 7.82 V is connected to a circuit consisting of 2 19.3 &Omega; resistors and one 12.2 &Omega; resistor. What is the voltage drop across the 12.2 &Omega; resistor?


 * a) 1.552E+00 V
 * b) 1.707E+00 V
 * c) 1.878E+00 V
 * d) 2.066E+00 V
 * e) 2.272E+00 V

4) Two sources of emf &epsilon;1=35.5 V, and  &epsilon;2=12.3 V are oriented as shownin the circuit. The resistances are R1=4.49 k&Omega; and  R2=1.53 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.63 mA and I4=0.972 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 1.093E+01 V
 * b) 1.202E+01 V
 * c) 1.322E+01 V
 * d) 1.454E+01 V
 * e) 1.600E+01 V

5) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 466 V.  If the combined external and internal resistance is 123 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 331.0 V?


 * a) 9.571E+00 s
 * b) 1.053E+01 s
 * c) 1.158E+01 s
 * d) 1.274E+01 s
 * e) 1.401E+01 s

6) In the circuit shown V=15.4 V, R1=2.77 &Omega;, R2=6.07 &Omega;, and R3=14.5 &Omega;. What is the power dissipated by R2?


 * a) 1.190E+01 W
 * b) 1.309E+01 W
 * c) 1.440E+01 W
 * d) 1.584E+01 W
 * e) 1.742E+01 W

7) The resistances in the figure shown are R1= 2.04 &Omega;, R2= 1.19 &Omega;, and R2= 2.5 &Omega;. V1 and V3 are text 0.507 V and 3.07 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.602 V. What is the absolute value of the current through R1?


 * a) 1.401E-01 A
 * b) 1.542E-01 A
 * c) 1.696E-01 A
 * d) 1.865E-01 A
 * e) 2.052E-01 A

8) A given battery has a 15 V emf and an internal resistance of 0.113 &Omega;. If it is connected to a 0.645 &Omega; resistor what is the power dissipated by that load?


 * a) 1.898E+02 W
 * b) 2.087E+02 W
 * c) 2.296E+02 W
 * d) 2.526E+02 W
 * e) 2.778E+02 W

9) Two sources of emf &epsilon;1=44.4 V, and  &epsilon;2=16.8 V are oriented as shownin the circuit. The resistances are R1=4.58 k&Omega; and  R2=1.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=8.43 mA and I4=1.46 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 6.970E+00 mA
 * b) 7.667E+00 mA
 * c) 8.434E+00 mA
 * d) 9.277E+00 mA
 * e) 1.020E+01 mA

c10 M2
1) Two sources of emf &epsilon;1=36.3 V, and  &epsilon;2=12.9 V are oriented as shownin the circuit. The resistances are R1=4.28 k&Omega; and  R2=1.58 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.16 mA and I4=1.2 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.224E+00 mA
 * b) 2.446E+00 mA
 * c) 2.691E+00 mA
 * d) 2.960E+00 mA
 * e) 3.256E+00 mA

2) A given battery has a 13 V emf and an internal resistance of 0.161 &Omega;. If it is connected to a 0.814 &Omega; resistor what is the power dissipated by that load?


 * a) 1.087E+02 W
 * b) 1.196E+02 W
 * c) 1.316E+02 W
 * d) 1.447E+02 W
 * e) 1.592E+02 W

3) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 505 V.  If the combined external and internal resistance is 189 &Omega and the capacitance is  74 mF, how long will it take for the capacitor's voltage to reach 374.0 V?


 * a) 1.560E+01 s
 * b) 1.716E+01 s
 * c) 1.887E+01 s
 * d) 2.076E+01 s
 * e) 2.284E+01 s

4) Two sources of emf &epsilon;1=52.7 V, and  &epsilon;2=17.5 V are oriented as shownin the circuit. The resistances are R1=5.86 k&Omega; and  R2=2.08 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.48 mA and I4=0.988 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 2.064E+01 V
 * b) 2.270E+01 V
 * c) 2.497E+01 V
 * d) 2.747E+01 V
 * e) 3.021E+01 V

5) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * a) 1.234E+00 V
 * b) 1.358E+00 V
 * c) 1.493E+00 V
 * d) 1.643E+00 V
 * e) 1.807E+00 V

6) Two sources of emf &epsilon;1=18.6 V, and  &epsilon;2=5.63 V are oriented as shownin the circuit. The resistances are R1=3.9 k&Omega; and  R2=1.1 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.41 mA and I4=0.614 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 4.342E+00 V
 * b) 4.776E+00 V
 * c) 5.254E+00 V
 * d) 5.779E+00 V
 * e) 6.357E+00 V

7) Three resistors, R1 = 1.2 &Omega;, and R2 = R2 = 2.75 &Omega;, are connected in parallel to a 6.42 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 2.581E+01 W
 * b) 2.839E+01 W
 * c) 3.122E+01 W
 * d) 3.435E+01 W
 * e) 3.778E+01 W

8) In the circuit shown V=11.8 V, R1=2.38 &Omega;, R2=5.11 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * a) 8.489E+00 W
 * b) 9.338E+00 W
 * c) 1.027E+01 W
 * d) 1.130E+01 W
 * e) 1.243E+01 W

9) The resistances in the figure shown are R1= 1.33 &Omega;, R2= 1.72 &Omega;, and R2= 3.69 &Omega;. V1 and V3 are text 0.606 V and 3.31 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.608 V. What is the absolute value of the current through R1?


 * a) 1.137E-01 A
 * b) 1.251E-01 A
 * c) 1.376E-01 A
 * d) 1.514E-01 A
 * e) 1.665E-01 A

c10 N0
1) A given battery has a 14 V emf and an internal resistance of 0.132 &Omega;. If it is connected to a 0.689 &Omega; resistor what is the power dissipated by that load?


 * a) 1.656E+02 W
 * b) 1.821E+02 W
 * c) 2.003E+02 W
 * d) 2.204E+02 W
 * e) 2.424E+02 W

2) A battery with a terminal voltage of 8.01 V is connected to a circuit consisting of 3 22.1 &Omega; resistors and one 14.5 &Omega; resistor. What is the voltage drop across the 14.5 &Omega; resistor?


 * a) 9.818E-01 V
 * b) 1.080E+00 V
 * c) 1.188E+00 V
 * d) 1.307E+00 V
 * e) 1.437E+00 V

3) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.842E+01 W
 * b) 2.026E+01 W
 * c) 2.228E+01 W
 * d) 2.451E+01 W
 * e) 2.696E+01 W

4) In the circuit shown V=16.1 V, R1=1.18 &Omega;, R2=5.28 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * a) 2.172E+01 W
 * b) 2.389E+01 W
 * c) 2.628E+01 W
 * d) 2.891E+01 W
 * e) 3.180E+01 W

5) The resistances in the figure shown are R1= 2.49 &Omega;, R2= 1.72 &Omega;, and R2= 3.58 &Omega;. V1 and V3 are text 0.417 V and 1.83 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.53 V. What is the absolute value of the current through R1?


 * a) 8.220E-02 A
 * b) 9.042E-02 A
 * c) 9.946E-02 A
 * d) 1.094E-01 A
 * e) 1.203E-01 A

6) Two sources of emf &epsilon;1=13.6 V, and  &epsilon;2=6.53 V are oriented as shownin the circuit. The resistances are R1=2.89 k&Omega; and  R2=2.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.11 mA and I4=0.311 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 7.264E-01 mA
 * b) 7.990E-01 mA
 * c) 8.789E-01 mA
 * d) 9.668E-01 mA
 * e) 1.063E+00 mA

7) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=14.4 V are oriented as shownin the circuit. The resistances are R1=4.33 k&Omega; and  R2=1.65 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.59 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 9.142E+00 V
 * b) 1.006E+01 V
 * c) 1.106E+01 V
 * d) 1.217E+01 V
 * e) 1.338E+01 V

8) Two sources of emf &epsilon;1=17.3 V, and  &epsilon;2=6.46 V are oriented as shownin the circuit. The resistances are R1=2.54 k&Omega; and  R2=2.79 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.1 mA and I4=0.281 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 6.488E+00 V
 * b) 7.137E+00 V
 * c) 7.850E+00 V
 * d) 8.635E+00 V
 * e) 9.499E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 598 V.  If the combined external and internal resistance is 170 &Omega and the capacitance is  73 mF, how long will it take for the capacitor's voltage to reach 436.0 V?


 * a) 1.218E+01 s
 * b) 1.339E+01 s
 * c) 1.473E+01 s
 * d) 1.621E+01 s
 * e) 1.783E+01 s

c10 N1
1) Three resistors, R1 = 1.39 &Omega;, and R2 = R2 = 3.06 &Omega;, are connected in parallel to a 6.21 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 2.293E+01 W
 * b) 2.522E+01 W
 * c) 2.774E+01 W
 * d) 3.052E+01 W
 * e) 3.357E+01 W

2) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=14.4 V are oriented as shownin the circuit. The resistances are R1=4.33 k&Omega; and  R2=1.65 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.59 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 9.142E+00 V
 * b) 1.006E+01 V
 * c) 1.106E+01 V
 * d) 1.217E+01 V
 * e) 1.338E+01 V

3) Two sources of emf &epsilon;1=24.8 V, and  &epsilon;2=10.3 V are oriented as shownin the circuit. The resistances are R1=2.19 k&Omega; and  R2=1.6 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.49 mA and I4=0.83 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.660E+00 mA
 * b) 1.826E+00 mA
 * c) 2.009E+00 mA
 * d) 2.209E+00 mA
 * e) 2.430E+00 mA

4) The resistances in the figure shown are R1= 2.54 &Omega;, R2= 1.15 &Omega;, and R2= 2.9 &Omega;. V1 and V3 are text 0.446 V and 3.39 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.744 V. What is the absolute value of the current through R1?


 * a) 1.285E-01 A
 * b) 1.414E-01 A
 * c) 1.555E-01 A
 * d) 1.711E-01 A
 * e) 1.882E-01 A

5) A battery with a terminal voltage of 8.01 V is connected to a circuit consisting of 3 22.1 &Omega; resistors and one 14.5 &Omega; resistor. What is the voltage drop across the 14.5 &Omega; resistor?


 * a) 9.818E-01 V
 * b) 1.080E+00 V
 * c) 1.188E+00 V
 * d) 1.307E+00 V
 * e) 1.437E+00 V

6) Two sources of emf &epsilon;1=54.9 V, and  &epsilon;2=19.8 V are oriented as shownin the circuit. The resistances are R1=3.93 k&Omega; and  R2=1.31 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=9.18 mA and I4=1.83 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.779E+01 V
 * b) 1.957E+01 V
 * c) 2.153E+01 V
 * d) 2.368E+01 V
 * e) 2.605E+01 V

7) A given battery has a 14 V emf and an internal resistance of 0.192 &Omega;. If it is connected to a 0.766 &Omega; resistor what is the power dissipated by that load?


 * a) 1.229E+02 W
 * b) 1.352E+02 W
 * c) 1.487E+02 W
 * d) 1.636E+02 W
 * e) 1.799E+02 W

8) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 433 V.  If the combined external and internal resistance is 275 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 223.0 V?


 * a) 1.104E+01 s
 * b) 1.214E+01 s
 * c) 1.335E+01 s
 * d) 1.469E+01 s
 * e) 1.616E+01 s

9) In the circuit shown V=15.4 V, R1=2.55 &Omega;, R2=5.12 &Omega;, and R3=12.7 &Omega;. What is the power dissipated by R2?


 * a) 1.096E+01 W
 * b) 1.206E+01 W
 * c) 1.326E+01 W
 * d) 1.459E+01 W
 * e) 1.605E+01 W

c10 N2
1) Two sources of emf &epsilon;1=18.2 V, and  &epsilon;2=6.59 V are oriented as shownin the circuit. The resistances are R1=5.47 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.64 mA and I4=0.341 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.299E+00 mA
 * b) 1.429E+00 mA
 * c) 1.572E+00 mA
 * d) 1.729E+00 mA
 * e) 1.902E+00 mA

2) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=13.6 V are oriented as shownin the circuit. The resistances are R1=2.86 k&Omega; and  R2=2.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.02 mA and I4=0.854 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.380E+01 V
 * b) 1.518E+01 V
 * c) 1.670E+01 V
 * d) 1.837E+01 V
 * e) 2.020E+01 V

3) A battery with a terminal voltage of 8.14 V is connected to a circuit consisting of 2 21.5 &Omega; resistors and one 13.1 &Omega; resistor. What is the voltage drop across the 13.1 &Omega; resistor?


 * a) 1.298E+00 V
 * b) 1.428E+00 V
 * c) 1.571E+00 V
 * d) 1.728E+00 V
 * e) 1.901E+00 V

4) Three resistors, R1 = 1.2 &Omega;, and R2 = R2 = 2.75 &Omega;, are connected in parallel to a 6.42 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 2.581E+01 W
 * b) 2.839E+01 W
 * c) 3.122E+01 W
 * d) 3.435E+01 W
 * e) 3.778E+01 W

5) A given battery has a 15 V emf and an internal resistance of 0.177 &Omega;. If it is connected to a 0.824 &Omega; resistor what is the power dissipated by that load?


 * a) 1.682E+02 W
 * b) 1.850E+02 W
 * c) 2.035E+02 W
 * d) 2.239E+02 W
 * e) 2.463E+02 W

6) The resistances in the figure shown are R1= 2.73 &Omega;, R2= 1.4 &Omega;, and R2= 2.35 &Omega;. V1 and V3 are text 0.549 V and 1.27 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.584 V. What is the absolute value of the current through R1?


 * a) 1.213E-01 A
 * b) 1.334E-01 A
 * c) 1.468E-01 A
 * d) 1.614E-01 A
 * e) 1.776E-01 A

7) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 558 V.  If the combined external and internal resistance is 198 &Omega and the capacitance is  80 mF, how long will it take for the capacitor's voltage to reach 345.0 V?


 * a) 1.146E+01 s
 * b) 1.261E+01 s
 * c) 1.387E+01 s
 * d) 1.525E+01 s
 * e) 1.678E+01 s

8) Two sources of emf &epsilon;1=30.6 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.46 k&Omega; and  R2=2.77 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.97 mA and I4=0.643 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 4.986E+00 V
 * b) 5.484E+00 V
 * c) 6.033E+00 V
 * d) 6.636E+00 V
 * e) 7.299E+00 V

9) In the circuit shown V=11.9 V, R1=2.75 &Omega;, R2=7.19 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * a) 7.982E+00 W
 * b) 8.780E+00 W
 * c) 9.658E+00 W
 * d) 1.062E+01 W
 * e) 1.169E+01 W

c10 O0
1) A given battery has a 14 V emf and an internal resistance of 0.0842 &Omega;. If it is connected to a 0.835 &Omega; resistor what is the power dissipated by that load?


 * a) 1.455E+02 W
 * b) 1.601E+02 W
 * c) 1.761E+02 W
 * d) 1.937E+02 W
 * e) 2.131E+02 W

2) A battery with a terminal voltage of 6.49 V is connected to a circuit consisting of 3 18.0 &Omega; resistors and one 10.3 &Omega; resistor. What is the voltage drop across the 10.3 &Omega; resistor?


 * a) 7.101E-01 V
 * b) 7.811E-01 V
 * c) 8.592E-01 V
 * d) 9.451E-01 V
 * e) 1.040E+00 V

3) Three resistors, R1 = 0.61 &Omega;, and R2 = R2 = 1.35 &Omega;, are connected in parallel to a 7.04 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 7.386E+01 W
 * b) 8.125E+01 W
 * c) 8.937E+01 W
 * d) 9.831E+01 W
 * e) 1.081E+02 W

4) In the circuit shown V=17.8 V, R1=2.27 &Omega;, R2=6.79 &Omega;, and R3=15.1 &Omega;. What is the power dissipated by R2?


 * a) 1.446E+01 W
 * b) 1.591E+01 W
 * c) 1.750E+01 W
 * d) 1.925E+01 W
 * e) 2.117E+01 W

5) The resistances in the figure shown are R1= 1.33 &Omega;, R2= 1.72 &Omega;, and R2= 3.69 &Omega;. V1 and V3 are text 0.606 V and 3.31 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.608 V. What is the absolute value of the current through R1?


 * a) 1.137E-01 A
 * b) 1.251E-01 A
 * c) 1.376E-01 A
 * d) 1.514E-01 A
 * e) 1.665E-01 A

6) Two sources of emf &epsilon;1=49.6 V, and  &epsilon;2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 3.055E+00 mA
 * b) 3.360E+00 mA
 * c) 3.696E+00 mA
 * d) 4.066E+00 mA
 * e) 4.472E+00 mA

7) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=16.9 V are oriented as shownin the circuit. The resistances are R1=3.3 k&Omega; and  R2=2.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.34 mA and I4=0.955 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 7.031E+00 V
 * b) 7.734E+00 V
 * c) 8.507E+00 V
 * d) 9.358E+00 V
 * e) 1.029E+01 V

8) Two sources of emf &epsilon;1=46.1 V, and  &epsilon;2=16.2 V are oriented as shownin the circuit. The resistances are R1=5.17 k&Omega; and  R2=2.06 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.97 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.309E+01 V
 * b) 1.440E+01 V
 * c) 1.584E+01 V
 * d) 1.742E+01 V
 * e) 1.917E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 554 V.  If the combined external and internal resistance is 228 &Omega and the capacitance is  93 mF, how long will it take for the capacitor's voltage to reach 450.0 V?


 * a) 3.224E+01 s
 * b) 3.547E+01 s
 * c) 3.902E+01 s
 * d) 4.292E+01 s
 * e) 4.721E+01 s

c10 O1
1) In the circuit shown V=17.9 V, R1=1.3 &Omega;, R2=5.1 &Omega;, and R3=12.1 &Omega;. What is the power dissipated by R2?


 * a) 2.543E+01 W
 * b) 2.798E+01 W
 * c) 3.077E+01 W
 * d) 3.385E+01 W
 * e) 3.724E+01 W

2) The resistances in the figure shown are R1= 2.04 &Omega;, R2= 1.19 &Omega;, and R2= 2.5 &Omega;. V1 and V3 are text 0.507 V and 3.07 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.602 V. What is the absolute value of the current through R1?


 * a) 1.401E-01 A
 * b) 1.542E-01 A
 * c) 1.696E-01 A
 * d) 1.865E-01 A
 * e) 2.052E-01 A

3) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=13.6 V are oriented as shownin the circuit. The resistances are R1=2.86 k&Omega; and  R2=2.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.02 mA and I4=0.854 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.380E+01 V
 * b) 1.518E+01 V
 * c) 1.670E+01 V
 * d) 1.837E+01 V
 * e) 2.020E+01 V

4) Three resistors, R1 = 0.87 &Omega;, and R2 = R2 = 2.0 &Omega;, are connected in parallel to a 8.57 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 6.977E+01 W
 * b) 7.674E+01 W
 * c) 8.442E+01 W
 * d) 9.286E+01 W
 * e) 1.021E+02 W

5) A given battery has a 14 V emf and an internal resistance of 0.192 &Omega;. If it is connected to a 0.766 &Omega; resistor what is the power dissipated by that load?


 * a) 1.229E+02 W
 * b) 1.352E+02 W
 * c) 1.487E+02 W
 * d) 1.636E+02 W
 * e) 1.799E+02 W

6) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 439 V.  If the combined external and internal resistance is 221 &Omega and the capacitance is  54 mF, how long will it take for the capacitor's voltage to reach 350.0 V?


 * a) 1.905E+01 s
 * b) 2.095E+01 s
 * c) 2.304E+01 s
 * d) 2.535E+01 s
 * e) 2.788E+01 s

7) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=8.29 V are oriented as shownin the circuit. The resistances are R1=3.43 k&Omega; and  R2=1.16 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.09 mA and I4=1.06 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 6.720E+00 V
 * b) 7.392E+00 V
 * c) 8.131E+00 V
 * d) 8.944E+00 V
 * e) 9.838E+00 V

8) A battery with a terminal voltage of 8.66 V is connected to a circuit consisting of 3 19.6 &Omega; resistors and one 10.6 &Omega; resistor. What is the voltage drop across the 10.6 &Omega; resistor?


 * a) 1.202E+00 V
 * b) 1.323E+00 V
 * c) 1.455E+00 V
 * d) 1.600E+00 V
 * e) 1.761E+00 V

9) Two sources of emf &epsilon;1=13.6 V, and  &epsilon;2=6.53 V are oriented as shownin the circuit. The resistances are R1=2.89 k&Omega; and  R2=2.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.11 mA and I4=0.311 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 7.264E-01 mA
 * b) 7.990E-01 mA
 * c) 8.789E-01 mA
 * d) 9.668E-01 mA
 * e) 1.063E+00 mA

c10 O2
1) A given battery has a 14 V emf and an internal resistance of 0.132 &Omega;. If it is connected to a 0.689 &Omega; resistor what is the power dissipated by that load?


 * a) 1.656E+02 W
 * b) 1.821E+02 W
 * c) 2.003E+02 W
 * d) 2.204E+02 W
 * e) 2.424E+02 W

2) Two sources of emf &epsilon;1=20.6 V, and  &epsilon;2=9.53 V are oriented as shownin the circuit. The resistances are R1=5.46 k&Omega; and  R2=2.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.5 mA and I4=0.415 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.085E+00 mA
 * b) 1.194E+00 mA
 * c) 1.313E+00 mA
 * d) 1.444E+00 mA
 * e) 1.589E+00 mA

3) A battery with a terminal voltage of 8.01 V is connected to a circuit consisting of 3 22.1 &Omega; resistors and one 14.5 &Omega; resistor. What is the voltage drop across the 14.5 &Omega; resistor?


 * a) 9.818E-01 V
 * b) 1.080E+00 V
 * c) 1.188E+00 V
 * d) 1.307E+00 V
 * e) 1.437E+00 V

4) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 439 V.  If the combined external and internal resistance is 221 &Omega and the capacitance is  54 mF, how long will it take for the capacitor's voltage to reach 350.0 V?


 * a) 1.905E+01 s
 * b) 2.095E+01 s
 * c) 2.304E+01 s
 * d) 2.535E+01 s
 * e) 2.788E+01 s

5) Two sources of emf &epsilon;1=35.5 V, and  &epsilon;2=12.3 V are oriented as shownin the circuit. The resistances are R1=4.49 k&Omega; and  R2=1.53 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.63 mA and I4=0.972 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 1.093E+01 V
 * b) 1.202E+01 V
 * c) 1.322E+01 V
 * d) 1.454E+01 V
 * e) 1.600E+01 V

6) In the circuit shown V=15.4 V, R1=2.77 &Omega;, R2=6.07 &Omega;, and R3=14.5 &Omega;. What is the power dissipated by R2?


 * a) 1.190E+01 W
 * b) 1.309E+01 W
 * c) 1.440E+01 W
 * d) 1.584E+01 W
 * e) 1.742E+01 W

7) Two sources of emf &epsilon;1=45.3 V, and  &epsilon;2=13.3 V are oriented as shownin the circuit. The resistances are R1=3.82 k&Omega; and  R2=1.5 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=6.17 mA and I4=1.11 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.177E+01 V
 * b) 1.295E+01 V
 * c) 1.424E+01 V
 * d) 1.567E+01 V
 * e) 1.723E+01 V

8) Three resistors, R1 = 0.686 &Omega;, and R2 = R2 = 1.58 &Omega;, are connected in parallel to a 8.97 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.173E+02 W
 * b) 1.290E+02 W
 * c) 1.419E+02 W
 * d) 1.561E+02 W
 * e) 1.717E+02 W

9) The resistances in the figure shown are R1= 2.42 &Omega;, R2= 1.09 &Omega;, and R2= 3.89 &Omega;. V1 and V3 are text 0.677 V and 1.86 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.745 V. What is the absolute value of the current through R1?


 * a) 2.089E-01 A
 * b) 2.298E-01 A
 * c) 2.528E-01 A
 * d) 2.781E-01 A
 * e) 3.059E-01 A

c10 P0
1) A given battery has a 12 V emf and an internal resistance of 0.107 &Omega;. If it is connected to a 0.814 &Omega; resistor what is the power dissipated by that load?


 * a) 1.382E+02 W
 * b) 1.520E+02 W
 * c) 1.672E+02 W
 * d) 1.839E+02 W
 * e) 2.023E+02 W

2) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 &Omega; resistors and one 9.58 &Omega; resistor. What is the voltage drop across the 9.58 &Omega; resistor?


 * a) 1.677E+00 V
 * b) 1.844E+00 V
 * c) 2.029E+00 V
 * d) 2.231E+00 V
 * e) 2.455E+00 V

3) Three resistors, R1 = 0.624 &Omega;, and R2 = R2 = 1.37 &Omega;, are connected in parallel to a 7.46 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 7.371E+01 W
 * b) 8.108E+01 W
 * c) 8.919E+01 W
 * d) 9.810E+01 W
 * e) 1.079E+02 W

4) In the circuit shown V=16.1 V, R1=1.18 &Omega;, R2=5.28 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * a) 2.172E+01 W
 * b) 2.389E+01 W
 * c) 2.628E+01 W
 * d) 2.891E+01 W
 * e) 3.180E+01 W

5) The resistances in the figure shown are R1= 1.1 &Omega;, R2= 1.55 &Omega;, and R2= 2.11 &Omega;. V1 and V3 are text 0.545 V and 3.22 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.744 V. What is the absolute value of the current through R1?


 * a) 1.886E-01 A
 * b) 2.075E-01 A
 * c) 2.282E-01 A
 * d) 2.510E-01 A
 * e) 2.761E-01 A

6) Two sources of emf &epsilon;1=29.5 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=2.45 k&Omega; and  R2=1.96 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.03 mA and I4=0.783 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.247E+00 mA
 * b) 2.472E+00 mA
 * c) 2.719E+00 mA
 * d) 2.991E+00 mA
 * e) 3.290E+00 mA

7) Two sources of emf &epsilon;1=39.2 V, and  &epsilon;2=12.6 V are oriented as shownin the circuit. The resistances are R1=3.86 k&Omega; and  R2=1.89 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.05 mA and I4=0.701 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 8.687E+00 V
 * b) 9.555E+00 V
 * c) 1.051E+01 V
 * d) 1.156E+01 V
 * e) 1.272E+01 V

8) Two sources of emf &epsilon;1=14.3 V, and  &epsilon;2=5.6 V are oriented as shownin the circuit. The resistances are R1=5.31 k&Omega; and  R2=2.39 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.12 mA and I4=0.284 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 3.416E+00 V
 * b) 3.757E+00 V
 * c) 4.133E+00 V
 * d) 4.546E+00 V
 * e) 5.001E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 439 V.  If the combined external and internal resistance is 221 &Omega and the capacitance is  54 mF, how long will it take for the capacitor's voltage to reach 350.0 V?


 * a) 1.905E+01 s
 * b) 2.095E+01 s
 * c) 2.304E+01 s
 * d) 2.535E+01 s
 * e) 2.788E+01 s

c10 P1
1) In the circuit shown V=15.4 V, R1=2.77 &Omega;, R2=6.07 &Omega;, and R3=14.5 &Omega;. What is the power dissipated by R2?


 * a) 1.190E+01 W
 * b) 1.309E+01 W
 * c) 1.440E+01 W
 * d) 1.584E+01 W
 * e) 1.742E+01 W

2) Two sources of emf &epsilon;1=40.7 V, and  &epsilon;2=12.3 V are oriented as shownin the circuit. The resistances are R1=3.5 k&Omega; and  R2=1.94 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.42 mA and I4=0.932 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.440E+01 V
 * b) 1.584E+01 V
 * c) 1.742E+01 V
 * d) 1.916E+01 V
 * e) 2.108E+01 V

3) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 433 V.  If the combined external and internal resistance is 275 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 223.0 V?


 * a) 1.104E+01 s
 * b) 1.214E+01 s
 * c) 1.335E+01 s
 * d) 1.469E+01 s
 * e) 1.616E+01 s

4) A battery with a terminal voltage of 10.7 V is connected to a circuit consisting of 2 24.5 &Omega; resistors and one 15.2 &Omega; resistor. What is the voltage drop across the 15.2 &Omega; resistor?


 * a) 1.730E+00 V
 * b) 1.903E+00 V
 * c) 2.094E+00 V
 * d) 2.303E+00 V
 * e) 2.533E+00 V

5) A given battery has a 9 V emf and an internal resistance of 0.16 &Omega;. If it is connected to a 0.45 &Omega; resistor what is the power dissipated by that load?


 * a) 6.691E+01 W
 * b) 7.360E+01 W
 * c) 8.096E+01 W
 * d) 8.905E+01 W
 * e) 9.796E+01 W

6) Two sources of emf &epsilon;1=36.3 V, and  &epsilon;2=12.9 V are oriented as shownin the circuit. The resistances are R1=4.28 k&Omega; and  R2=1.58 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.16 mA and I4=1.2 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.224E+00 mA
 * b) 2.446E+00 mA
 * c) 2.691E+00 mA
 * d) 2.960E+00 mA
 * e) 3.256E+00 mA

7) Three resistors, R1 = 1.41 &Omega;, and R2 = R2 = 3.17 &Omega;, are connected in parallel to a 5.89 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.681E+01 W
 * b) 1.849E+01 W
 * c) 2.033E+01 W
 * d) 2.237E+01 W
 * e) 2.460E+01 W

8) Two sources of emf &epsilon;1=30.3 V, and  &epsilon;2=8.6 V are oriented as shownin the circuit. The resistances are R1=3.81 k&Omega; and  R2=2.39 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.38 mA and I4=0.416 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 8.945E+00 V
 * b) 9.840E+00 V
 * c) 1.082E+01 V
 * d) 1.191E+01 V
 * e) 1.310E+01 V

9) The resistances in the figure shown are R1= 2.34 &Omega;, R2= 1.34 &Omega;, and R2= 2.94 &Omega;. V1 and V3 are text 0.609 V and 1.68 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.541 V. What is the absolute value of the current through R1?


 * a) 1.464E-01 A
 * b) 1.610E-01 A
 * c) 1.772E-01 A
 * d) 1.949E-01 A
 * e) 2.144E-01 A

c10 P2
1) The resistances in the figure shown are R1= 1.18 &Omega;, R2= 0.878 &Omega;, and R2= 2.11 &Omega;. V1 and V3 are text 0.637 V and 3.51 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.547 V. What is the absolute value of the current through R1?


 * a) 1.701E-01 A
 * b) 1.871E-01 A
 * c) 2.058E-01 A
 * d) 2.264E-01 A
 * e) 2.490E-01 A

2) A given battery has a 15 V emf and an internal resistance of 0.177 &Omega;. If it is connected to a 0.824 &Omega; resistor what is the power dissipated by that load?


 * a) 1.682E+02 W
 * b) 1.850E+02 W
 * c) 2.035E+02 W
 * d) 2.239E+02 W
 * e) 2.463E+02 W

3) In the circuit shown V=18.4 V, R1=1.64 &Omega;, R2=6.56 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * a) 2.470E+01 W
 * b) 2.717E+01 W
 * c) 2.989E+01 W
 * d) 3.288E+01 W
 * e) 3.617E+01 W

4) Two sources of emf &epsilon;1=16.8 V, and  &epsilon;2=7.15 V are oriented as shownin the circuit. The resistances are R1=3.12 k&Omega; and  R2=1.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.95 mA and I4=0.603 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 4.108E+00 V
 * b) 4.519E+00 V
 * c) 4.970E+00 V
 * d) 5.468E+00 V
 * e) 6.014E+00 V

5) Three resistors, R1 = 0.672 &Omega;, and R2 = R2 = 1.52 &Omega;, are connected in parallel to a 5.34 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 2.898E+01 W
 * b) 3.188E+01 W
 * c) 3.507E+01 W
 * d) 3.858E+01 W
 * e) 4.243E+01 W

6) Two sources of emf &epsilon;1=17.3 V, and  &epsilon;2=6.46 V are oriented as shownin the circuit. The resistances are R1=2.54 k&Omega; and  R2=2.79 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.1 mA and I4=0.281 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 6.488E+00 V
 * b) 7.137E+00 V
 * c) 7.850E+00 V
 * d) 8.635E+00 V
 * e) 9.499E+00 V

7) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 &Omega; resistors and one 10.2 &Omega; resistor. What is the voltage drop across the 10.2 &Omega; resistor?


 * a) 2.074E+00 V
 * b) 2.282E+00 V
 * c) 2.510E+00 V
 * d) 2.761E+00 V
 * e) 3.037E+00 V

8) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 130 V.  If the combined external and internal resistance is 109 &Omega and the capacitance is  59 mF, how long will it take for the capacitor's voltage to reach 69.9 V?


 * a) 3.728E+00 s
 * b) 4.101E+00 s
 * c) 4.511E+00 s
 * d) 4.962E+00 s
 * e) 5.458E+00 s

9) Two sources of emf &epsilon;1=39.0 V, and  &epsilon;2=15.9 V are oriented as shownin the circuit. The resistances are R1=3.4 k&Omega; and  R2=2.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.58 mA and I4=0.978 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.150E+00 mA
 * b) 2.365E+00 mA
 * c) 2.602E+00 mA
 * d) 2.862E+00 mA
 * e) 3.148E+00 mA

c10 Q0
1) A given battery has a 13 V emf and an internal resistance of 0.106 &Omega;. If it is connected to a 0.752 &Omega; resistor what is the power dissipated by that load?


 * a) 1.569E+02 W
 * b) 1.726E+02 W
 * c) 1.899E+02 W
 * d) 2.089E+02 W
 * e) 2.298E+02 W

2) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 &Omega; resistors and one 9.58 &Omega; resistor. What is the voltage drop across the 9.58 &Omega; resistor?


 * a) 1.677E+00 V
 * b) 1.844E+00 V
 * c) 2.029E+00 V
 * d) 2.231E+00 V
 * e) 2.455E+00 V

3) Three resistors, R1 = 0.548 &Omega;, and R2 = R2 = 1.24 &Omega;, are connected in parallel to a 7.16 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 7.029E+01 W
 * b) 7.731E+01 W
 * c) 8.505E+01 W
 * d) 9.355E+01 W
 * e) 1.029E+02 W

4) In the circuit shown V=17.9 V, R1=1.3 &Omega;, R2=5.1 &Omega;, and R3=12.1 &Omega;. What is the power dissipated by R2?


 * a) 2.543E+01 W
 * b) 2.798E+01 W
 * c) 3.077E+01 W
 * d) 3.385E+01 W
 * e) 3.724E+01 W

5) The resistances in the figure shown are R1= 1.81 &Omega;, R2= 1.18 &Omega;, and R2= 2.62 &Omega;. V1 and V3 are text 0.628 V and 2.54 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.748 V. What is the absolute value of the current through R1?


 * a) 1.552E-01 A
 * b) 1.707E-01 A
 * c) 1.878E-01 A
 * d) 2.065E-01 A
 * e) 2.272E-01 A

6) Two sources of emf &epsilon;1=30.5 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.79 k&Omega; and  R2=1.86 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.07 mA and I4=0.73 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.281E+00 mA
 * b) 2.509E+00 mA
 * c) 2.760E+00 mA
 * d) 3.036E+00 mA
 * e) 3.340E+00 mA

7) Two sources of emf &epsilon;1=27.1 V, and  &epsilon;2=8.04 V are oriented as shownin the circuit. The resistances are R1=2.94 k&Omega; and  R2=1.61 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.87 mA and I4=0.57 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 8.482E+00 V
 * b) 9.330E+00 V
 * c) 1.026E+01 V
 * d) 1.129E+01 V
 * e) 1.242E+01 V

8) Two sources of emf &epsilon;1=39.4 V, and  &epsilon;2=12.2 V are oriented as shownin the circuit. The resistances are R1=3.84 k&Omega; and  R2=2.01 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.71 mA and I4=0.669 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 8.825E+00 V
 * b) 9.708E+00 V
 * c) 1.068E+01 V
 * d) 1.175E+01 V
 * e) 1.292E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 351 V.  If the combined external and internal resistance is 148 &Omega and the capacitance is  60 mF, how long will it take for the capacitor's voltage to reach 227.0 V?


 * a) 9.240E+00 s
 * b) 1.016E+01 s
 * c) 1.118E+01 s
 * d) 1.230E+01 s
 * e) 1.353E+01 s

c10 Q1
1) A battery with a terminal voltage of 14.6 V is connected to a circuit consisting of 2 21.7 &Omega; resistors and one 14.4 &Omega; resistor. What is the voltage drop across the 14.4 &Omega; resistor?


 * a) 3.637E+00 V
 * b) 4.001E+00 V
 * c) 4.401E+00 V
 * d) 4.841E+00 V
 * e) 5.325E+00 V

2) In the circuit shown V=16.1 V, R1=1.18 &Omega;, R2=5.28 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * a) 2.172E+01 W
 * b) 2.389E+01 W
 * c) 2.628E+01 W
 * d) 2.891E+01 W
 * e) 3.180E+01 W

3) A given battery has a 13 V emf and an internal resistance of 0.159 &Omega;. If it is connected to a 0.617 &Omega; resistor what is the power dissipated by that load?


 * a) 1.301E+02 W
 * b) 1.431E+02 W
 * c) 1.574E+02 W
 * d) 1.732E+02 W
 * e) 1.905E+02 W

4) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.842E+01 W
 * b) 2.026E+01 W
 * c) 2.228E+01 W
 * d) 2.451E+01 W
 * e) 2.696E+01 W

5) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=12.1 V are oriented as shownin the circuit. The resistances are R1=2.52 k&Omega; and  R2=1.22 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.14 mA and I4=1.19 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 7.805E+00 V
 * b) 8.586E+00 V
 * c) 9.444E+00 V
 * d) 1.039E+01 V
 * e) 1.143E+01 V

6) Two sources of emf &epsilon;1=38.8 V, and  &epsilon;2=14.9 V are oriented as shownin the circuit. The resistances are R1=5.83 k&Omega; and  R2=1.77 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.57 mA and I4=1.19 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 1.013E+01 V
 * b) 1.115E+01 V
 * c) 1.226E+01 V
 * d) 1.349E+01 V
 * e) 1.484E+01 V

7) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 433 V.  If the combined external and internal resistance is 275 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 223.0 V?


 * a) 1.104E+01 s
 * b) 1.214E+01 s
 * c) 1.335E+01 s
 * d) 1.469E+01 s
 * e) 1.616E+01 s

8) Two sources of emf &epsilon;1=36.3 V, and  &epsilon;2=12.9 V are oriented as shownin the circuit. The resistances are R1=4.28 k&Omega; and  R2=1.58 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.16 mA and I4=1.2 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.224E+00 mA
 * b) 2.446E+00 mA
 * c) 2.691E+00 mA
 * d) 2.960E+00 mA
 * e) 3.256E+00 mA

9) The resistances in the figure shown are R1= 2.04 &Omega;, R2= 1.19 &Omega;, and R2= 2.5 &Omega;. V1 and V3 are text 0.507 V and 3.07 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.602 V. What is the absolute value of the current through R1?


 * a) 1.401E-01 A
 * b) 1.542E-01 A
 * c) 1.696E-01 A
 * d) 1.865E-01 A
 * e) 2.052E-01 A

c10 Q2
1) In the circuit shown V=17.9 V, R1=1.68 &Omega;, R2=7.84 &Omega;, and R3=12.3 &Omega;. What is the power dissipated by R2?


 * a) 2.240E+01 W
 * b) 2.464E+01 W
 * c) 2.710E+01 W
 * d) 2.981E+01 W
 * e) 3.279E+01 W

2) Two sources of emf &epsilon;1=27.9 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=2.82 k&Omega; and  R2=2.25 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.1 mA and I4=0.676 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 8.334E+00 V
 * b) 9.167E+00 V
 * c) 1.008E+01 V
 * d) 1.109E+01 V
 * e) 1.220E+01 V

3) The resistances in the figure shown are R1= 1.6 &Omega;, R2= 1.3 &Omega;, and R2= 2.22 &Omega;. V1 and V3 are text 0.55 V and 3.18 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.743 V. What is the absolute value of the current through R1?


 * a) 1.721E-01 A
 * b) 1.893E-01 A
 * c) 2.082E-01 A
 * d) 2.291E-01 A
 * e) 2.520E-01 A

4) Three resistors, R1 = 0.87 &Omega;, and R2 = R2 = 2.0 &Omega;, are connected in parallel to a 8.57 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 6.977E+01 W
 * b) 7.674E+01 W
 * c) 8.442E+01 W
 * d) 9.286E+01 W
 * e) 1.021E+02 W

5) A battery with a terminal voltage of 14.9 V is connected to a circuit consisting of 2 16.3 &Omega; resistors and one 9.8 &Omega; resistor. What is the voltage drop across the 9.8 &Omega; resistor?


 * a) 2.352E+00 V
 * b) 2.587E+00 V
 * c) 2.846E+00 V
 * d) 3.131E+00 V
 * e) 3.444E+00 V

6) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 351 V.  If the combined external and internal resistance is 148 &Omega and the capacitance is  60 mF, how long will it take for the capacitor's voltage to reach 227.0 V?


 * a) 9.240E+00 s
 * b) 1.016E+01 s
 * c) 1.118E+01 s
 * d) 1.230E+01 s
 * e) 1.353E+01 s

7) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=11.5 V are oriented as shownin the circuit. The resistances are R1=2.13 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.11 mA and I4=0.746 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 4.275E+00 V
 * b) 4.703E+00 V
 * c) 5.173E+00 V
 * d) 5.691E+00 V
 * e) 6.260E+00 V

8) Two sources of emf &epsilon;1=44.4 V, and  &epsilon;2=16.8 V are oriented as shownin the circuit. The resistances are R1=4.58 k&Omega; and  R2=1.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=8.43 mA and I4=1.46 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 6.970E+00 mA
 * b) 7.667E+00 mA
 * c) 8.434E+00 mA
 * d) 9.277E+00 mA
 * e) 1.020E+01 mA

9) A given battery has a 15 V emf and an internal resistance of 0.162 &Omega;. If it is connected to a 0.561 &Omega; resistor what is the power dissipated by that load?


 * a) 1.814E+02 W
 * b) 1.996E+02 W
 * c) 2.195E+02 W
 * d) 2.415E+02 W
 * e) 2.656E+02 W

c10 R0
1) A given battery has a 15 V emf and an internal resistance of 0.113 &Omega;. If it is connected to a 0.645 &Omega; resistor what is the power dissipated by that load?


 * a) 1.898E+02 W
 * b) 2.087E+02 W
 * c) 2.296E+02 W
 * d) 2.526E+02 W
 * e) 2.778E+02 W

2) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 &Omega; resistors and one 12.8 &Omega; resistor. What is the voltage drop across the 12.8 &Omega; resistor?


 * a) 2.467E+00 V
 * b) 2.714E+00 V
 * c) 2.985E+00 V
 * d) 3.283E+00 V
 * e) 3.612E+00 V

3) Three resistors, R1 = 1.82 &Omega;, and R2 = R2 = 4.14 &Omega;, are connected in parallel to a 5.65 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.754E+01 W
 * b) 1.929E+01 W
 * c) 2.122E+01 W
 * d) 2.335E+01 W
 * e) 2.568E+01 W

4) In the circuit shown V=13.5 V, R1=2.66 &Omega;, R2=7.29 &Omega;, and R3=14.5 &Omega;. What is the power dissipated by R2?


 * a) 7.123E+00 W
 * b) 7.835E+00 W
 * c) 8.618E+00 W
 * d) 9.480E+00 W
 * e) 1.043E+01 W

5) The resistances in the figure shown are R1= 1.81 &Omega;, R2= 1.18 &Omega;, and R2= 2.62 &Omega;. V1 and V3 are text 0.628 V and 2.54 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.748 V. What is the absolute value of the current through R1?


 * a) 1.552E-01 A
 * b) 1.707E-01 A
 * c) 1.878E-01 A
 * d) 2.065E-01 A
 * e) 2.272E-01 A

6) Two sources of emf &epsilon;1=20.6 V, and  &epsilon;2=9.53 V are oriented as shownin the circuit. The resistances are R1=5.46 k&Omega; and  R2=2.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.5 mA and I4=0.415 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.085E+00 mA
 * b) 1.194E+00 mA
 * c) 1.313E+00 mA
 * d) 1.444E+00 mA
 * e) 1.589E+00 mA

7) Two sources of emf &epsilon;1=28.6 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=3.73 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.27 mA and I4=0.774 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 6.641E+00 V
 * b) 7.305E+00 V
 * c) 8.035E+00 V
 * d) 8.839E+00 V
 * e) 9.723E+00 V

8) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=13.6 V are oriented as shownin the circuit. The resistances are R1=2.86 k&Omega; and  R2=2.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.02 mA and I4=0.854 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.380E+01 V
 * b) 1.518E+01 V
 * c) 1.670E+01 V
 * d) 1.837E+01 V
 * e) 2.020E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 301 V.  If the combined external and internal resistance is 245 &Omega and the capacitance is  63 mF, how long will it take for the capacitor's voltage to reach 192.0 V?


 * a) 1.296E+01 s
 * b) 1.425E+01 s
 * c) 1.568E+01 s
 * d) 1.725E+01 s
 * e) 1.897E+01 s

c10 R1
1) The resistances in the figure shown are R1= 1.57 &Omega;, R2= 1.25 &Omega;, and R2= 3.38 &Omega;. V1 and V3 are text 0.585 V and 2.91 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.55 V. What is the absolute value of the current through R1?


 * a) 1.427E-01 A
 * b) 1.569E-01 A
 * c) 1.726E-01 A
 * d) 1.899E-01 A
 * e) 2.089E-01 A

2) Three resistors, R1 = 1.23 &Omega;, and R2 = R2 = 2.73 &Omega;, are connected in parallel to a 5.41 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.788E+01 W
 * b) 1.967E+01 W
 * c) 2.163E+01 W
 * d) 2.380E+01 W
 * e) 2.617E+01 W

3) In the circuit shown V=17.5 V, R1=2.34 &Omega;, R2=7.1 &Omega;, and R3=15.3 &Omega;. What is the power dissipated by R2?


 * a) 1.784E+01 W
 * b) 1.963E+01 W
 * c) 2.159E+01 W
 * d) 2.375E+01 W
 * e) 2.612E+01 W

4) Two sources of emf &epsilon;1=52.7 V, and  &epsilon;2=17.5 V are oriented as shownin the circuit. The resistances are R1=5.86 k&Omega; and  R2=2.08 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.48 mA and I4=0.988 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 2.064E+01 V
 * b) 2.270E+01 V
 * c) 2.497E+01 V
 * d) 2.747E+01 V
 * e) 3.021E+01 V

5) Two sources of emf &epsilon;1=42.2 V, and  &epsilon;2=17.8 V are oriented as shownin the circuit. The resistances are R1=4.2 k&Omega; and  R2=2.83 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.5 mA and I4=0.749 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.056E+01 V
 * b) 1.161E+01 V
 * c) 1.277E+01 V
 * d) 1.405E+01 V
 * e) 1.545E+01 V

6) A given battery has a 13 V emf and an internal resistance of 0.161 &Omega;. If it is connected to a 0.814 &Omega; resistor what is the power dissipated by that load?


 * a) 1.087E+02 W
 * b) 1.196E+02 W
 * c) 1.316E+02 W
 * d) 1.447E+02 W
 * e) 1.592E+02 W

7) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 2 20.3 &Omega; resistors and one 13.1 &Omega; resistor. What is the voltage drop across the 13.1 &Omega; resistor?


 * a) 2.843E+00 V
 * b) 3.127E+00 V
 * c) 3.440E+00 V
 * d) 3.784E+00 V
 * e) 4.162E+00 V

8) Two sources of emf &epsilon;1=49.6 V, and  &epsilon;2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 3.055E+00 mA
 * b) 3.360E+00 mA
 * c) 3.696E+00 mA
 * d) 4.066E+00 mA
 * e) 4.472E+00 mA

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 505 V.  If the combined external and internal resistance is 189 &Omega and the capacitance is  74 mF, how long will it take for the capacitor's voltage to reach 374.0 V?


 * a) 1.560E+01 s
 * b) 1.716E+01 s
 * c) 1.887E+01 s
 * d) 2.076E+01 s
 * e) 2.284E+01 s

c10 R2
1) In the circuit shown V=18.4 V, R1=1.64 &Omega;, R2=6.56 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * a) 2.470E+01 W
 * b) 2.717E+01 W
 * c) 2.989E+01 W
 * d) 3.288E+01 W
 * e) 3.617E+01 W

2) Two sources of emf &epsilon;1=43.0 V, and  &epsilon;2=13.8 V are oriented as shownin the circuit. The resistances are R1=3.97 k&Omega; and  R2=1.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=6.25 mA and I4=1.82 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 3.661E+00 mA
 * b) 4.027E+00 mA
 * c) 4.430E+00 mA
 * d) 4.873E+00 mA
 * e) 5.360E+00 mA

3) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 543 V.  If the combined external and internal resistance is 201 &Omega and the capacitance is  82 mF, how long will it take for the capacitor's voltage to reach 281.0 V?


 * a) 9.024E+00 s
 * b) 9.927E+00 s
 * c) 1.092E+01 s
 * d) 1.201E+01 s
 * e) 1.321E+01 s

4) A given battery has a 9 V emf and an internal resistance of 0.141 &Omega;. If it is connected to a 0.663 &Omega; resistor what is the power dissipated by that load?


 * a) 5.674E+01 W
 * b) 6.242E+01 W
 * c) 6.866E+01 W
 * d) 7.553E+01 W
 * e) 8.308E+01 W

5) A battery with a terminal voltage of 8.66 V is connected to a circuit consisting of 3 19.6 &Omega; resistors and one 10.6 &Omega; resistor. What is the voltage drop across the 10.6 &Omega; resistor?


 * a) 1.202E+00 V
 * b) 1.323E+00 V
 * c) 1.455E+00 V
 * d) 1.600E+00 V
 * e) 1.761E+00 V

6) Three resistors, R1 = 1.39 &Omega;, and R2 = R2 = 3.06 &Omega;, are connected in parallel to a 6.21 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 2.293E+01 W
 * b) 2.522E+01 W
 * c) 2.774E+01 W
 * d) 3.052E+01 W
 * e) 3.357E+01 W

7) Two sources of emf &epsilon;1=27.1 V, and  &epsilon;2=8.04 V are oriented as shownin the circuit. The resistances are R1=2.94 k&Omega; and  R2=1.61 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.87 mA and I4=0.57 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 8.482E+00 V
 * b) 9.330E+00 V
 * c) 1.026E+01 V
 * d) 1.129E+01 V
 * e) 1.242E+01 V

8) The resistances in the figure shown are R1= 2.67 &Omega;, R2= 1.78 &Omega;, and R2= 3.63 &Omega;. V1 and V3 are text 0.448 V and 2.29 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.656 V. What is the absolute value of the current through R1?


 * a) 9.287E-02 A
 * b) 1.022E-01 A
 * c) 1.124E-01 A
 * d) 1.236E-01 A
 * e) 1.360E-01 A

9) Two sources of emf &epsilon;1=58.5 V, and  &epsilon;2=17.3 V are oriented as shownin the circuit. The resistances are R1=3.06 k&Omega; and  R2=1.88 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.25 mA and I4=1.25 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.981E+01 V
 * b) 2.179E+01 V
 * c) 2.397E+01 V
 * d) 2.637E+01 V
 * e) 2.901E+01 V

c10 S0
1) A given battery has a 15 V emf and an internal resistance of 0.113 &Omega;. If it is connected to a 0.645 &Omega; resistor what is the power dissipated by that load?


 * a) 1.898E+02 W
 * b) 2.087E+02 W
 * c) 2.296E+02 W
 * d) 2.526E+02 W
 * e) 2.778E+02 W

2) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 &Omega; resistors and one 10.2 &Omega; resistor. What is the voltage drop across the 10.2 &Omega; resistor?


 * a) 2.074E+00 V
 * b) 2.282E+00 V
 * c) 2.510E+00 V
 * d) 2.761E+00 V
 * e) 3.037E+00 V

3) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.842E+01 W
 * b) 2.026E+01 W
 * c) 2.228E+01 W
 * d) 2.451E+01 W
 * e) 2.696E+01 W

4) In the circuit shown V=17.9 V, R1=1.3 &Omega;, R2=5.1 &Omega;, and R3=12.1 &Omega;. What is the power dissipated by R2?


 * a) 2.543E+01 W
 * b) 2.798E+01 W
 * c) 3.077E+01 W
 * d) 3.385E+01 W
 * e) 3.724E+01 W

5) The resistances in the figure shown are R1= 1.33 &Omega;, R2= 1.72 &Omega;, and R2= 3.69 &Omega;. V1 and V3 are text 0.606 V and 3.31 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.608 V. What is the absolute value of the current through R1?


 * a) 1.137E-01 A
 * b) 1.251E-01 A
 * c) 1.376E-01 A
 * d) 1.514E-01 A
 * e) 1.665E-01 A

6) Two sources of emf &epsilon;1=24.9 V, and  &epsilon;2=10.1 V are oriented as shownin the circuit. The resistances are R1=2.32 k&Omega; and  R2=2.31 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.74 mA and I4=0.444 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.725E+00 mA
 * b) 1.898E+00 mA
 * c) 2.087E+00 mA
 * d) 2.296E+00 mA
 * e) 2.526E+00 mA

7) Two sources of emf &epsilon;1=30.6 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.46 k&Omega; and  R2=2.77 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.97 mA and I4=0.643 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 4.986E+00 V
 * b) 5.484E+00 V
 * c) 6.033E+00 V
 * d) 6.636E+00 V
 * e) 7.299E+00 V

8) Two sources of emf &epsilon;1=34.7 V, and  &epsilon;2=13.9 V are oriented as shownin the circuit. The resistances are R1=3.68 k&Omega; and  R2=1.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.68 mA and I4=0.933 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 9.286E+00 V
 * b) 1.021E+01 V
 * c) 1.124E+01 V
 * d) 1.236E+01 V
 * e) 1.360E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 569 V.  If the combined external and internal resistance is 137 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 419.0 V?


 * a) 1.043E+01 s
 * b) 1.147E+01 s
 * c) 1.262E+01 s
 * d) 1.388E+01 s
 * e) 1.527E+01 s

c10 S1
1) In the circuit shown V=15.2 V, R1=1.6 &Omega;, R2=7.89 &Omega;, and R3=15.3 &Omega;. What is the power dissipated by R2?


 * a) 1.713E+01 W
 * b) 1.885E+01 W
 * c) 2.073E+01 W
 * d) 2.280E+01 W
 * e) 2.508E+01 W

2) Three resistors, R1 = 1.39 &Omega;, and R2 = R2 = 3.06 &Omega;, are connected in parallel to a 6.21 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 2.293E+01 W
 * b) 2.522E+01 W
 * c) 2.774E+01 W
 * d) 3.052E+01 W
 * e) 3.357E+01 W

3) Two sources of emf &epsilon;1=40.6 V, and  &epsilon;2=13.5 V are oriented as shownin the circuit. The resistances are R1=4.35 k&Omega; and  R2=2.44 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.73 mA and I4=0.78 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.332E+00 mA
 * b) 1.465E+00 mA
 * c) 1.612E+00 mA
 * d) 1.773E+00 mA
 * e) 1.950E+00 mA

4) A battery with a terminal voltage of 6.49 V is connected to a circuit consisting of 3 18.0 &Omega; resistors and one 10.3 &Omega; resistor. What is the voltage drop across the 10.3 &Omega; resistor?


 * a) 7.101E-01 V
 * b) 7.811E-01 V
 * c) 8.592E-01 V
 * d) 9.451E-01 V
 * e) 1.040E+00 V

5) The resistances in the figure shown are R1= 1.81 &Omega;, R2= 1.18 &Omega;, and R2= 2.62 &Omega;. V1 and V3 are text 0.628 V and 2.54 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.748 V. What is the absolute value of the current through R1?


 * a) 1.552E-01 A
 * b) 1.707E-01 A
 * c) 1.878E-01 A
 * d) 2.065E-01 A
 * e) 2.272E-01 A

6) Two sources of emf &epsilon;1=27.1 V, and  &epsilon;2=8.04 V are oriented as shownin the circuit. The resistances are R1=2.94 k&Omega; and  R2=1.61 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.87 mA and I4=0.57 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 8.482E+00 V
 * b) 9.330E+00 V
 * c) 1.026E+01 V
 * d) 1.129E+01 V
 * e) 1.242E+01 V

7) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 558 V.  If the combined external and internal resistance is 198 &Omega and the capacitance is  80 mF, how long will it take for the capacitor's voltage to reach 345.0 V?


 * a) 1.146E+01 s
 * b) 1.261E+01 s
 * c) 1.387E+01 s
 * d) 1.525E+01 s
 * e) 1.678E+01 s

8) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=13.6 V are oriented as shownin the circuit. The resistances are R1=2.86 k&Omega; and  R2=2.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.02 mA and I4=0.854 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.380E+01 V
 * b) 1.518E+01 V
 * c) 1.670E+01 V
 * d) 1.837E+01 V
 * e) 2.020E+01 V

9) A given battery has a 9 V emf and an internal resistance of 0.141 &Omega;. If it is connected to a 0.663 &Omega; resistor what is the power dissipated by that load?


 * a) 5.674E+01 W
 * b) 6.242E+01 W
 * c) 6.866E+01 W
 * d) 7.553E+01 W
 * e) 8.308E+01 W

c10 S2
1) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=14.4 V are oriented as shownin the circuit. The resistances are R1=4.33 k&Omega; and  R2=1.65 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.59 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 9.142E+00 V
 * b) 1.006E+01 V
 * c) 1.106E+01 V
 * d) 1.217E+01 V
 * e) 1.338E+01 V

2) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 554 V.  If the combined external and internal resistance is 228 &Omega and the capacitance is  93 mF, how long will it take for the capacitor's voltage to reach 450.0 V?


 * a) 3.224E+01 s
 * b) 3.547E+01 s
 * c) 3.902E+01 s
 * d) 4.292E+01 s
 * e) 4.721E+01 s

3) Two sources of emf &epsilon;1=45.3 V, and  &epsilon;2=13.3 V are oriented as shownin the circuit. The resistances are R1=3.82 k&Omega; and  R2=1.5 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=6.17 mA and I4=1.11 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.177E+01 V
 * b) 1.295E+01 V
 * c) 1.424E+01 V
 * d) 1.567E+01 V
 * e) 1.723E+01 V

4) A given battery has a 11 V emf and an internal resistance of 0.0998 &Omega;. If it is connected to a 0.417 &Omega; resistor what is the power dissipated by that load?


 * a) 1.419E+02 W
 * b) 1.561E+02 W
 * c) 1.717E+02 W
 * d) 1.889E+02 W
 * e) 2.078E+02 W

5) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 2 20.3 &Omega; resistors and one 13.1 &Omega; resistor. What is the voltage drop across the 13.1 &Omega; resistor?


 * a) 2.843E+00 V
 * b) 3.127E+00 V
 * c) 3.440E+00 V
 * d) 3.784E+00 V
 * e) 4.162E+00 V

6) In the circuit shown V=19.6 V, R1=1.45 &Omega;, R2=7.85 &Omega;, and R3=15.8 &Omega;. What is the power dissipated by R2?


 * a) 2.730E+01 W
 * b) 3.003E+01 W
 * c) 3.304E+01 W
 * d) 3.634E+01 W
 * e) 3.998E+01 W

7) The resistances in the figure shown are R1= 2.67 &Omega;, R2= 1.78 &Omega;, and R2= 3.63 &Omega;. V1 and V3 are text 0.448 V and 2.29 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.656 V. What is the absolute value of the current through R1?


 * a) 9.287E-02 A
 * b) 1.022E-01 A
 * c) 1.124E-01 A
 * d) 1.236E-01 A
 * e) 1.360E-01 A

8) Two sources of emf &epsilon;1=24.9 V, and  &epsilon;2=10.1 V are oriented as shownin the circuit. The resistances are R1=2.32 k&Omega; and  R2=2.31 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.74 mA and I4=0.444 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.725E+00 mA
 * b) 1.898E+00 mA
 * c) 2.087E+00 mA
 * d) 2.296E+00 mA
 * e) 2.526E+00 mA

9) Three resistors, R1 = 1.74 &Omega;, and R2 = R2 = 3.92 &Omega;, are connected in parallel to a 8.5 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 2.836E+01 W
 * b) 3.120E+01 W
 * c) 3.432E+01 W
 * d) 3.775E+01 W
 * e) 4.152E+01 W

c10 T0
1) A given battery has a 15 V emf and an internal resistance of 0.162 &Omega;. If it is connected to a 0.561 &Omega; resistor what is the power dissipated by that load?


 * a) 1.814E+02 W
 * b) 1.996E+02 W
 * c) 2.195E+02 W
 * d) 2.415E+02 W
 * e) 2.656E+02 W

2) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 &Omega; resistors and one 12.8 &Omega; resistor. What is the voltage drop across the 12.8 &Omega; resistor?


 * a) 2.467E+00 V
 * b) 2.714E+00 V
 * c) 2.985E+00 V
 * d) 3.283E+00 V
 * e) 3.612E+00 V

3) Three resistors, R1 = 0.686 &Omega;, and R2 = R2 = 1.58 &Omega;, are connected in parallel to a 8.97 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.173E+02 W
 * b) 1.290E+02 W
 * c) 1.419E+02 W
 * d) 1.561E+02 W
 * e) 1.717E+02 W

4) In the circuit shown V=11.8 V, R1=2.38 &Omega;, R2=5.11 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * a) 8.489E+00 W
 * b) 9.338E+00 W
 * c) 1.027E+01 W
 * d) 1.130E+01 W
 * e) 1.243E+01 W

5) The resistances in the figure shown are R1= 2.54 &Omega;, R2= 1.15 &Omega;, and R2= 2.9 &Omega;. V1 and V3 are text 0.446 V and 3.39 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.744 V. What is the absolute value of the current through R1?


 * a) 1.285E-01 A
 * b) 1.414E-01 A
 * c) 1.555E-01 A
 * d) 1.711E-01 A
 * e) 1.882E-01 A

6) Two sources of emf &epsilon;1=30.5 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.79 k&Omega; and  R2=1.86 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.07 mA and I4=0.73 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.281E+00 mA
 * b) 2.509E+00 mA
 * c) 2.760E+00 mA
 * d) 3.036E+00 mA
 * e) 3.340E+00 mA

7) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=16.9 V are oriented as shownin the circuit. The resistances are R1=3.3 k&Omega; and  R2=2.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.34 mA and I4=0.955 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 7.031E+00 V
 * b) 7.734E+00 V
 * c) 8.507E+00 V
 * d) 9.358E+00 V
 * e) 1.029E+01 V

8) Two sources of emf &epsilon;1=42.2 V, and  &epsilon;2=17.8 V are oriented as shownin the circuit. The resistances are R1=4.2 k&Omega; and  R2=2.83 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.5 mA and I4=0.749 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.056E+01 V
 * b) 1.161E+01 V
 * c) 1.277E+01 V
 * d) 1.405E+01 V
 * e) 1.545E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 190 V.  If the combined external and internal resistance is 255 &Omega and the capacitance is  54 mF, how long will it take for the capacitor's voltage to reach 101.0 V?


 * a) 1.044E+01 s
 * b) 1.149E+01 s
 * c) 1.264E+01 s
 * d) 1.390E+01 s
 * e) 1.529E+01 s

c10 T1
1) Two sources of emf &epsilon;1=18.6 V, and  &epsilon;2=5.63 V are oriented as shownin the circuit. The resistances are R1=3.9 k&Omega; and  R2=1.1 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.41 mA and I4=0.614 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 4.342E+00 V
 * b) 4.776E+00 V
 * c) 5.254E+00 V
 * d) 5.779E+00 V
 * e) 6.357E+00 V

2) Two sources of emf &epsilon;1=18.2 V, and  &epsilon;2=6.59 V are oriented as shownin the circuit. The resistances are R1=5.47 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.64 mA and I4=0.341 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.299E+00 mA
 * b) 1.429E+00 mA
 * c) 1.572E+00 mA
 * d) 1.729E+00 mA
 * e) 1.902E+00 mA

3) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 &Omega; resistors and one 9.58 &Omega; resistor. What is the voltage drop across the 9.58 &Omega; resistor?


 * a) 1.677E+00 V
 * b) 1.844E+00 V
 * c) 2.029E+00 V
 * d) 2.231E+00 V
 * e) 2.455E+00 V

4) The resistances in the figure shown are R1= 2.34 &Omega;, R2= 1.34 &Omega;, and R2= 2.94 &Omega;. V1 and V3 are text 0.609 V and 1.68 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.541 V. What is the absolute value of the current through R1?


 * a) 1.464E-01 A
 * b) 1.610E-01 A
 * c) 1.772E-01 A
 * d) 1.949E-01 A
 * e) 2.144E-01 A

5) Three resistors, R1 = 0.855 &Omega;, and R2 = R2 = 1.91 &Omega;, are connected in parallel to a 6.97 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 5.682E+01 W
 * b) 6.250E+01 W
 * c) 6.875E+01 W
 * d) 7.563E+01 W
 * e) 8.319E+01 W

6) A given battery has a 15 V emf and an internal resistance of 0.162 &Omega;. If it is connected to a 0.561 &Omega; resistor what is the power dissipated by that load?


 * a) 1.814E+02 W
 * b) 1.996E+02 W
 * c) 2.195E+02 W
 * d) 2.415E+02 W
 * e) 2.656E+02 W

7) Two sources of emf &epsilon;1=35.5 V, and  &epsilon;2=12.3 V are oriented as shownin the circuit. The resistances are R1=4.49 k&Omega; and  R2=1.53 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.63 mA and I4=0.972 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 1.093E+01 V
 * b) 1.202E+01 V
 * c) 1.322E+01 V
 * d) 1.454E+01 V
 * e) 1.600E+01 V

8) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 129 V.  If the combined external and internal resistance is 169 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 109.0 V?


 * a) 2.177E+01 s
 * b) 2.394E+01 s
 * c) 2.634E+01 s
 * d) 2.897E+01 s
 * e) 3.187E+01 s

9) In the circuit shown V=15.2 V, R1=1.6 &Omega;, R2=7.89 &Omega;, and R3=15.3 &Omega;. What is the power dissipated by R2?


 * a) 1.713E+01 W
 * b) 1.885E+01 W
 * c) 2.073E+01 W
 * d) 2.280E+01 W
 * e) 2.508E+01 W

c10 T2
1) In the circuit shown V=10.9 V, R1=1.68 &Omega;, R2=7.52 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * a) 7.827E+00 W
 * b) 8.610E+00 W
 * c) 9.470E+00 W
 * d) 1.042E+01 W
 * e) 1.146E+01 W

2) A given battery has a 10 V emf and an internal resistance of 0.119 &Omega;. If it is connected to a 0.445 &Omega; resistor what is the power dissipated by that load?


 * a) 1.272E+02 W
 * b) 1.399E+02 W
 * c) 1.539E+02 W
 * d) 1.693E+02 W
 * e) 1.862E+02 W

3) Three resistors, R1 = 1.39 &Omega;, and R2 = R2 = 3.06 &Omega;, are connected in parallel to a 6.21 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 2.293E+01 W
 * b) 2.522E+01 W
 * c) 2.774E+01 W
 * d) 3.052E+01 W
 * e) 3.357E+01 W

4) A battery with a terminal voltage of 12.4 V is connected to a circuit consisting of 3 21.6 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * a) 1.333E+00 V
 * b) 1.466E+00 V
 * c) 1.612E+00 V
 * d) 1.774E+00 V
 * e) 1.951E+00 V

5) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=15.7 V are oriented as shownin the circuit. The resistances are R1=2.24 k&Omega; and  R2=2.23 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.01 mA and I4=0.86 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.955E+00 mA
 * b) 2.150E+00 mA
 * c) 2.365E+00 mA
 * d) 2.601E+00 mA
 * e) 2.862E+00 mA

6) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=11.5 V are oriented as shownin the circuit. The resistances are R1=2.13 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.11 mA and I4=0.746 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 4.275E+00 V
 * b) 4.703E+00 V
 * c) 5.173E+00 V
 * d) 5.691E+00 V
 * e) 6.260E+00 V

7) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=13.6 V are oriented as shownin the circuit. The resistances are R1=2.86 k&Omega; and  R2=2.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.02 mA and I4=0.854 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.380E+01 V
 * b) 1.518E+01 V
 * c) 1.670E+01 V
 * d) 1.837E+01 V
 * e) 2.020E+01 V

8) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 558 V.  If the combined external and internal resistance is 198 &Omega and the capacitance is  80 mF, how long will it take for the capacitor's voltage to reach 345.0 V?


 * a) 1.146E+01 s
 * b) 1.261E+01 s
 * c) 1.387E+01 s
 * d) 1.525E+01 s
 * e) 1.678E+01 s

9) The resistances in the figure shown are R1= 1.81 &Omega;, R2= 1.18 &Omega;, and R2= 2.62 &Omega;. V1 and V3 are text 0.628 V and 2.54 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.748 V. What is the absolute value of the current through R1?


 * a) 1.552E-01 A
 * b) 1.707E-01 A
 * c) 1.878E-01 A
 * d) 2.065E-01 A
 * e) 2.272E-01 A

c10 U0
1) A given battery has a 14 V emf and an internal resistance of 0.198 &Omega;. If it is connected to a 0.534 &Omega; resistor what is the power dissipated by that load?


 * a) 1.776E+02 W
 * b) 1.953E+02 W
 * c) 2.149E+02 W
 * d) 2.364E+02 W
 * e) 2.600E+02 W

2) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * a) 1.234E+00 V
 * b) 1.358E+00 V
 * c) 1.493E+00 V
 * d) 1.643E+00 V
 * e) 1.807E+00 V

3) Three resistors, R1 = 1.74 &Omega;, and R2 = R2 = 3.92 &Omega;, are connected in parallel to a 8.5 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 2.836E+01 W
 * b) 3.120E+01 W
 * c) 3.432E+01 W
 * d) 3.775E+01 W
 * e) 4.152E+01 W

4) In the circuit shown V=11.8 V, R1=2.38 &Omega;, R2=5.11 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * a) 8.489E+00 W
 * b) 9.338E+00 W
 * c) 1.027E+01 W
 * d) 1.130E+01 W
 * e) 1.243E+01 W

5) The resistances in the figure shown are R1= 2.42 &Omega;, R2= 1.09 &Omega;, and R2= 3.89 &Omega;. V1 and V3 are text 0.677 V and 1.86 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.745 V. What is the absolute value of the current through R1?


 * a) 2.089E-01 A
 * b) 2.298E-01 A
 * c) 2.528E-01 A
 * d) 2.781E-01 A
 * e) 3.059E-01 A

6) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=15.7 V are oriented as shownin the circuit. The resistances are R1=2.24 k&Omega; and  R2=2.23 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.01 mA and I4=0.86 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.955E+00 mA
 * b) 2.150E+00 mA
 * c) 2.365E+00 mA
 * d) 2.601E+00 mA
 * e) 2.862E+00 mA

7) Two sources of emf &epsilon;1=35.5 V, and  &epsilon;2=12.3 V are oriented as shownin the circuit. The resistances are R1=4.49 k&Omega; and  R2=1.53 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.63 mA and I4=0.972 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 1.093E+01 V
 * b) 1.202E+01 V
 * c) 1.322E+01 V
 * d) 1.454E+01 V
 * e) 1.600E+01 V

8) Two sources of emf &epsilon;1=24.4 V, and  &epsilon;2=6.73 V are oriented as shownin the circuit. The resistances are R1=5.7 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.36 mA and I4=0.418 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 5.418E+00 V
 * b) 5.960E+00 V
 * c) 6.556E+00 V
 * d) 7.212E+00 V
 * e) 7.933E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 301 V.  If the combined external and internal resistance is 245 &Omega and the capacitance is  63 mF, how long will it take for the capacitor's voltage to reach 192.0 V?


 * a) 1.296E+01 s
 * b) 1.425E+01 s
 * c) 1.568E+01 s
 * d) 1.725E+01 s
 * e) 1.897E+01 s

c10 U1
1) In the circuit shown V=10.8 V, R1=1.26 &Omega;, R2=5.65 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * a) 8.240E+00 W
 * b) 9.064E+00 W
 * c) 9.970E+00 W
 * d) 1.097E+01 W
 * e) 1.206E+01 W

2) Three resistors, R1 = 1.23 &Omega;, and R2 = R2 = 2.73 &Omega;, are connected in parallel to a 5.41 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.788E+01 W
 * b) 1.967E+01 W
 * c) 2.163E+01 W
 * d) 2.380E+01 W
 * e) 2.617E+01 W

3) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * a) 1.234E+00 V
 * b) 1.358E+00 V
 * c) 1.493E+00 V
 * d) 1.643E+00 V
 * e) 1.807E+00 V

4) A given battery has a 12 V emf and an internal resistance of 0.107 &Omega;. If it is connected to a 0.814 &Omega; resistor what is the power dissipated by that load?


 * a) 1.382E+02 W
 * b) 1.520E+02 W
 * c) 1.672E+02 W
 * d) 1.839E+02 W
 * e) 2.023E+02 W

5) The resistances in the figure shown are R1= 2.73 &Omega;, R2= 1.4 &Omega;, and R2= 2.35 &Omega;. V1 and V3 are text 0.549 V and 1.27 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.584 V. What is the absolute value of the current through R1?


 * a) 1.213E-01 A
 * b) 1.334E-01 A
 * c) 1.468E-01 A
 * d) 1.614E-01 A
 * e) 1.776E-01 A

6) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 467 V.  If the combined external and internal resistance is 172 &Omega and the capacitance is  74 mF, how long will it take for the capacitor's voltage to reach 258.0 V?


 * a) 7.688E+00 s
 * b) 8.457E+00 s
 * c) 9.303E+00 s
 * d) 1.023E+01 s
 * e) 1.126E+01 s

7) Two sources of emf &epsilon;1=17.3 V, and  &epsilon;2=6.46 V are oriented as shownin the circuit. The resistances are R1=2.54 k&Omega; and  R2=2.79 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.1 mA and I4=0.281 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 6.488E+00 V
 * b) 7.137E+00 V
 * c) 7.850E+00 V
 * d) 8.635E+00 V
 * e) 9.499E+00 V

8) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=11.5 V are oriented as shownin the circuit. The resistances are R1=2.13 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.11 mA and I4=0.746 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 4.275E+00 V
 * b) 4.703E+00 V
 * c) 5.173E+00 V
 * d) 5.691E+00 V
 * e) 6.260E+00 V

9) Two sources of emf &epsilon;1=49.6 V, and  &epsilon;2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 3.055E+00 mA
 * b) 3.360E+00 mA
 * c) 3.696E+00 mA
 * d) 4.066E+00 mA
 * e) 4.472E+00 mA

c10 U2
1) The resistances in the figure shown are R1= 1.6 &Omega;, R2= 1.3 &Omega;, and R2= 2.22 &Omega;. V1 and V3 are text 0.55 V and 3.18 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.743 V. What is the absolute value of the current through R1?


 * a) 1.721E-01 A
 * b) 1.893E-01 A
 * c) 2.082E-01 A
 * d) 2.291E-01 A
 * e) 2.520E-01 A

2) Two sources of emf &epsilon;1=35.5 V, and  &epsilon;2=12.3 V are oriented as shownin the circuit. The resistances are R1=4.49 k&Omega; and  R2=1.53 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.63 mA and I4=0.972 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 1.093E+01 V
 * b) 1.202E+01 V
 * c) 1.322E+01 V
 * d) 1.454E+01 V
 * e) 1.600E+01 V

3) A battery with a terminal voltage of 8.66 V is connected to a circuit consisting of 3 19.6 &Omega; resistors and one 10.6 &Omega; resistor. What is the voltage drop across the 10.6 &Omega; resistor?


 * a) 1.202E+00 V
 * b) 1.323E+00 V
 * c) 1.455E+00 V
 * d) 1.600E+00 V
 * e) 1.761E+00 V

4) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 569 V.  If the combined external and internal resistance is 137 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 419.0 V?


 * a) 1.043E+01 s
 * b) 1.147E+01 s
 * c) 1.262E+01 s
 * d) 1.388E+01 s
 * e) 1.527E+01 s

5) A given battery has a 13 V emf and an internal resistance of 0.161 &Omega;. If it is connected to a 0.814 &Omega; resistor what is the power dissipated by that load?


 * a) 1.087E+02 W
 * b) 1.196E+02 W
 * c) 1.316E+02 W
 * d) 1.447E+02 W
 * e) 1.592E+02 W

6) Two sources of emf &epsilon;1=27.9 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=2.82 k&Omega; and  R2=2.25 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.1 mA and I4=0.676 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 8.334E+00 V
 * b) 9.167E+00 V
 * c) 1.008E+01 V
 * d) 1.109E+01 V
 * e) 1.220E+01 V

7) Two sources of emf &epsilon;1=40.3 V, and  &epsilon;2=16.8 V are oriented as shownin the circuit. The resistances are R1=2.57 k&Omega; and  R2=2.25 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.96 mA and I4=0.752 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.825E+00 mA
 * b) 2.007E+00 mA
 * c) 2.208E+00 mA
 * d) 2.429E+00 mA
 * e) 2.672E+00 mA

8) Three resistors, R1 = 0.61 &Omega;, and R2 = R2 = 1.35 &Omega;, are connected in parallel to a 7.04 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 7.386E+01 W
 * b) 8.125E+01 W
 * c) 8.937E+01 W
 * d) 9.831E+01 W
 * e) 1.081E+02 W

9) In the circuit shown V=17.5 V, R1=2.34 &Omega;, R2=7.1 &Omega;, and R3=15.3 &Omega;. What is the power dissipated by R2?


 * a) 1.784E+01 W
 * b) 1.963E+01 W
 * c) 2.159E+01 W
 * d) 2.375E+01 W
 * e) 2.612E+01 W

c10 V0
1) A given battery has a 15 V emf and an internal resistance of 0.0536 &Omega;. If it is connected to a 0.64 &Omega; resistor what is the power dissipated by that load?


 * a) 2.721E+02 W
 * b) 2.993E+02 W
 * c) 3.293E+02 W
 * d) 3.622E+02 W
 * e) 3.984E+02 W

2) A battery with a terminal voltage of 12.4 V is connected to a circuit consisting of 3 21.6 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * a) 1.333E+00 V
 * b) 1.466E+00 V
 * c) 1.612E+00 V
 * d) 1.774E+00 V
 * e) 1.951E+00 V

3) Three resistors, R1 = 1.74 &Omega;, and R2 = R2 = 3.92 &Omega;, are connected in parallel to a 8.5 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 2.836E+01 W
 * b) 3.120E+01 W
 * c) 3.432E+01 W
 * d) 3.775E+01 W
 * e) 4.152E+01 W

4) In the circuit shown V=16.1 V, R1=1.18 &Omega;, R2=5.28 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * a) 2.172E+01 W
 * b) 2.389E+01 W
 * c) 2.628E+01 W
 * d) 2.891E+01 W
 * e) 3.180E+01 W

5) The resistances in the figure shown are R1= 2.24 &Omega;, R2= 1.03 &Omega;, and R2= 2.39 &Omega;. V1 and V3 are text 0.595 V and 2.58 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.707 V. What is the absolute value of the current through R1?


 * a) 1.834E-01 A
 * b) 2.018E-01 A
 * c) 2.220E-01 A
 * d) 2.441E-01 A
 * e) 2.686E-01 A

6) Two sources of emf &epsilon;1=29.3 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=5.65 k&Omega; and  R2=2.68 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.81 mA and I4=0.525 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.717E+00 mA
 * b) 1.888E+00 mA
 * c) 2.077E+00 mA
 * d) 2.285E+00 mA
 * e) 2.514E+00 mA

7) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=16.9 V are oriented as shownin the circuit. The resistances are R1=3.3 k&Omega; and  R2=2.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.34 mA and I4=0.955 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 7.031E+00 V
 * b) 7.734E+00 V
 * c) 8.507E+00 V
 * d) 9.358E+00 V
 * e) 1.029E+01 V

8) Two sources of emf &epsilon;1=17.3 V, and  &epsilon;2=6.46 V are oriented as shownin the circuit. The resistances are R1=2.54 k&Omega; and  R2=2.79 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.1 mA and I4=0.281 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 6.488E+00 V
 * b) 7.137E+00 V
 * c) 7.850E+00 V
 * d) 8.635E+00 V
 * e) 9.499E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 543 V.  If the combined external and internal resistance is 201 &Omega and the capacitance is  82 mF, how long will it take for the capacitor's voltage to reach 281.0 V?


 * a) 9.024E+00 s
 * b) 9.927E+00 s
 * c) 1.092E+01 s
 * d) 1.201E+01 s
 * e) 1.321E+01 s

c10 V1
1) Two sources of emf &epsilon;1=42.2 V, and  &epsilon;2=17.8 V are oriented as shownin the circuit. The resistances are R1=4.2 k&Omega; and  R2=2.83 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.5 mA and I4=0.749 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.056E+01 V
 * b) 1.161E+01 V
 * c) 1.277E+01 V
 * d) 1.405E+01 V
 * e) 1.545E+01 V

2) The resistances in the figure shown are R1= 2.73 &Omega;, R2= 1.4 &Omega;, and R2= 2.35 &Omega;. V1 and V3 are text 0.549 V and 1.27 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.584 V. What is the absolute value of the current through R1?


 * a) 1.213E-01 A
 * b) 1.334E-01 A
 * c) 1.468E-01 A
 * d) 1.614E-01 A
 * e) 1.776E-01 A

3) A battery with a terminal voltage of 8.41 V is connected to a circuit consisting of 3 16.1 &Omega; resistors and one 10.9 &Omega; resistor. What is the voltage drop across the 10.9 &Omega; resistor?


 * a) 1.058E+00 V
 * b) 1.163E+00 V
 * c) 1.280E+00 V
 * d) 1.408E+00 V
 * e) 1.548E+00 V

4) In the circuit shown V=16.2 V, R1=2.84 &Omega;, R2=7.06 &Omega;, and R3=13.1 &Omega;. What is the power dissipated by R2?


 * a) 1.418E+01 W
 * b) 1.560E+01 W
 * c) 1.716E+01 W
 * d) 1.887E+01 W
 * e) 2.076E+01 W

5) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 598 V.  If the combined external and internal resistance is 170 &Omega and the capacitance is  73 mF, how long will it take for the capacitor's voltage to reach 436.0 V?


 * a) 1.218E+01 s
 * b) 1.339E+01 s
 * c) 1.473E+01 s
 * d) 1.621E+01 s
 * e) 1.783E+01 s

6) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=16.9 V are oriented as shownin the circuit. The resistances are R1=3.3 k&Omega; and  R2=2.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.34 mA and I4=0.955 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 7.031E+00 V
 * b) 7.734E+00 V
 * c) 8.507E+00 V
 * d) 9.358E+00 V
 * e) 1.029E+01 V

7) Two sources of emf &epsilon;1=30.5 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.79 k&Omega; and  R2=1.86 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.07 mA and I4=0.73 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.281E+00 mA
 * b) 2.509E+00 mA
 * c) 2.760E+00 mA
 * d) 3.036E+00 mA
 * e) 3.340E+00 mA

8) Three resistors, R1 = 0.672 &Omega;, and R2 = R2 = 1.52 &Omega;, are connected in parallel to a 5.34 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 2.898E+01 W
 * b) 3.188E+01 W
 * c) 3.507E+01 W
 * d) 3.858E+01 W
 * e) 4.243E+01 W

9) A given battery has a 12 V emf and an internal resistance of 0.0984 &Omega;. If it is connected to a 0.485 &Omega; resistor what is the power dissipated by that load?


 * a) 2.052E+02 W
 * b) 2.257E+02 W
 * c) 2.483E+02 W
 * d) 2.731E+02 W
 * e) 3.004E+02 W

c10 V2
1) Two sources of emf &epsilon;1=29.5 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=2.45 k&Omega; and  R2=1.96 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.03 mA and I4=0.783 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.247E+00 mA
 * b) 2.472E+00 mA
 * c) 2.719E+00 mA
 * d) 2.991E+00 mA
 * e) 3.290E+00 mA

2) Two sources of emf &epsilon;1=30.6 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.46 k&Omega; and  R2=2.77 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.97 mA and I4=0.643 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 4.986E+00 V
 * b) 5.484E+00 V
 * c) 6.033E+00 V
 * d) 6.636E+00 V
 * e) 7.299E+00 V

3) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 213 V.  If the combined external and internal resistance is 118 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 142.0 V?


 * a) 5.401E+00 s
 * b) 5.941E+00 s
 * c) 6.535E+00 s
 * d) 7.189E+00 s
 * e) 7.908E+00 s

4) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.842E+01 W
 * b) 2.026E+01 W
 * c) 2.228E+01 W
 * d) 2.451E+01 W
 * e) 2.696E+01 W

5) A given battery has a 14 V emf and an internal resistance of 0.132 &Omega;. If it is connected to a 0.689 &Omega; resistor what is the power dissipated by that load?


 * a) 1.656E+02 W
 * b) 1.821E+02 W
 * c) 2.003E+02 W
 * d) 2.204E+02 W
 * e) 2.424E+02 W

6) A battery with a terminal voltage of 14.6 V is connected to a circuit consisting of 2 21.7 &Omega; resistors and one 14.4 &Omega; resistor. What is the voltage drop across the 14.4 &Omega; resistor?


 * a) 3.637E+00 V
 * b) 4.001E+00 V
 * c) 4.401E+00 V
 * d) 4.841E+00 V
 * e) 5.325E+00 V

7) In the circuit shown V=17.9 V, R1=1.68 &Omega;, R2=7.84 &Omega;, and R3=12.3 &Omega;. What is the power dissipated by R2?


 * a) 2.240E+01 W
 * b) 2.464E+01 W
 * c) 2.710E+01 W
 * d) 2.981E+01 W
 * e) 3.279E+01 W

8) The resistances in the figure shown are R1= 1.81 &Omega;, R2= 1.18 &Omega;, and R2= 2.62 &Omega;. V1 and V3 are text 0.628 V and 2.54 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.748 V. What is the absolute value of the current through R1?


 * a) 1.552E-01 A
 * b) 1.707E-01 A
 * c) 1.878E-01 A
 * d) 2.065E-01 A
 * e) 2.272E-01 A

9) Two sources of emf &epsilon;1=14.3 V, and  &epsilon;2=5.6 V are oriented as shownin the circuit. The resistances are R1=5.31 k&Omega; and  R2=2.39 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.12 mA and I4=0.284 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 3.416E+00 V
 * b) 3.757E+00 V
 * c) 4.133E+00 V
 * d) 4.546E+00 V
 * e) 5.001E+00 V

c10 W0
1) A given battery has a 13 V emf and an internal resistance of 0.161 &Omega;. If it is connected to a 0.814 &Omega; resistor what is the power dissipated by that load?


 * a) 1.087E+02 W
 * b) 1.196E+02 W
 * c) 1.316E+02 W
 * d) 1.447E+02 W
 * e) 1.592E+02 W

2) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 &Omega; resistors and one 12.8 &Omega; resistor. What is the voltage drop across the 12.8 &Omega; resistor?


 * a) 2.467E+00 V
 * b) 2.714E+00 V
 * c) 2.985E+00 V
 * d) 3.283E+00 V
 * e) 3.612E+00 V

3) Three resistors, R1 = 0.87 &Omega;, and R2 = R2 = 2.0 &Omega;, are connected in parallel to a 8.57 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 6.977E+01 W
 * b) 7.674E+01 W
 * c) 8.442E+01 W
 * d) 9.286E+01 W
 * e) 1.021E+02 W

4) In the circuit shown V=15.4 V, R1=2.55 &Omega;, R2=5.12 &Omega;, and R3=12.7 &Omega;. What is the power dissipated by R2?


 * a) 1.096E+01 W
 * b) 1.206E+01 W
 * c) 1.326E+01 W
 * d) 1.459E+01 W
 * e) 1.605E+01 W

5) The resistances in the figure shown are R1= 2.04 &Omega;, R2= 1.19 &Omega;, and R2= 2.5 &Omega;. V1 and V3 are text 0.507 V and 3.07 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.602 V. What is the absolute value of the current through R1?


 * a) 1.401E-01 A
 * b) 1.542E-01 A
 * c) 1.696E-01 A
 * d) 1.865E-01 A
 * e) 2.052E-01 A

6) Two sources of emf &epsilon;1=13.6 V, and  &epsilon;2=6.53 V are oriented as shownin the circuit. The resistances are R1=2.89 k&Omega; and  R2=2.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.11 mA and I4=0.311 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 7.264E-01 mA
 * b) 7.990E-01 mA
 * c) 8.789E-01 mA
 * d) 9.668E-01 mA
 * e) 1.063E+00 mA

7) Two sources of emf &epsilon;1=30.3 V, and  &epsilon;2=8.6 V are oriented as shownin the circuit. The resistances are R1=3.81 k&Omega; and  R2=2.39 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.38 mA and I4=0.416 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 8.945E+00 V
 * b) 9.840E+00 V
 * c) 1.082E+01 V
 * d) 1.191E+01 V
 * e) 1.310E+01 V

8) Two sources of emf &epsilon;1=17.3 V, and  &epsilon;2=6.46 V are oriented as shownin the circuit. The resistances are R1=2.54 k&Omega; and  R2=2.79 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.1 mA and I4=0.281 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 6.488E+00 V
 * b) 7.137E+00 V
 * c) 7.850E+00 V
 * d) 8.635E+00 V
 * e) 9.499E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 190 V.  If the combined external and internal resistance is 255 &Omega and the capacitance is  54 mF, how long will it take for the capacitor's voltage to reach 101.0 V?


 * a) 1.044E+01 s
 * b) 1.149E+01 s
 * c) 1.264E+01 s
 * d) 1.390E+01 s
 * e) 1.529E+01 s

c10 W1
1) A given battery has a 14 V emf and an internal resistance of 0.198 &Omega;. If it is connected to a 0.534 &Omega; resistor what is the power dissipated by that load?


 * a) 1.776E+02 W
 * b) 1.953E+02 W
 * c) 2.149E+02 W
 * d) 2.364E+02 W
 * e) 2.600E+02 W

2) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 466 V.  If the combined external and internal resistance is 123 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 331.0 V?


 * a) 9.571E+00 s
 * b) 1.053E+01 s
 * c) 1.158E+01 s
 * d) 1.274E+01 s
 * e) 1.401E+01 s

3) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=8.29 V are oriented as shownin the circuit. The resistances are R1=3.43 k&Omega; and  R2=1.16 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.09 mA and I4=1.06 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 6.720E+00 V
 * b) 7.392E+00 V
 * c) 8.131E+00 V
 * d) 8.944E+00 V
 * e) 9.838E+00 V

4) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * a) 1.234E+00 V
 * b) 1.358E+00 V
 * c) 1.493E+00 V
 * d) 1.643E+00 V
 * e) 1.807E+00 V

5) Two sources of emf &epsilon;1=39.4 V, and  &epsilon;2=12.2 V are oriented as shownin the circuit. The resistances are R1=3.84 k&Omega; and  R2=2.01 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.71 mA and I4=0.669 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 8.825E+00 V
 * b) 9.708E+00 V
 * c) 1.068E+01 V
 * d) 1.175E+01 V
 * e) 1.292E+01 V

6) Three resistors, R1 = 0.548 &Omega;, and R2 = R2 = 1.24 &Omega;, are connected in parallel to a 7.16 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 7.029E+01 W
 * b) 7.731E+01 W
 * c) 8.505E+01 W
 * d) 9.355E+01 W
 * e) 1.029E+02 W

7) The resistances in the figure shown are R1= 2.54 &Omega;, R2= 1.15 &Omega;, and R2= 2.9 &Omega;. V1 and V3 are text 0.446 V and 3.39 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.744 V. What is the absolute value of the current through R1?


 * a) 1.285E-01 A
 * b) 1.414E-01 A
 * c) 1.555E-01 A
 * d) 1.711E-01 A
 * e) 1.882E-01 A

8) In the circuit shown V=10.9 V, R1=1.68 &Omega;, R2=7.52 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * a) 7.827E+00 W
 * b) 8.610E+00 W
 * c) 9.470E+00 W
 * d) 1.042E+01 W
 * e) 1.146E+01 W

9) Two sources of emf &epsilon;1=29.3 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=5.65 k&Omega; and  R2=2.68 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.81 mA and I4=0.525 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.717E+00 mA
 * b) 1.888E+00 mA
 * c) 2.077E+00 mA
 * d) 2.285E+00 mA
 * e) 2.514E+00 mA

c10 W2
1) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=11.5 V are oriented as shownin the circuit. The resistances are R1=2.13 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.11 mA and I4=0.746 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 4.275E+00 V
 * b) 4.703E+00 V
 * c) 5.173E+00 V
 * d) 5.691E+00 V
 * e) 6.260E+00 V

2) In the circuit shown V=11.8 V, R1=2.38 &Omega;, R2=5.11 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * a) 8.489E+00 W
 * b) 9.338E+00 W
 * c) 1.027E+01 W
 * d) 1.130E+01 W
 * e) 1.243E+01 W

3) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 &Omega; resistors and one 9.58 &Omega; resistor. What is the voltage drop across the 9.58 &Omega; resistor?


 * a) 1.677E+00 V
 * b) 1.844E+00 V
 * c) 2.029E+00 V
 * d) 2.231E+00 V
 * e) 2.455E+00 V

4) Two sources of emf &epsilon;1=29.3 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=5.65 k&Omega; and  R2=2.68 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.81 mA and I4=0.525 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.717E+00 mA
 * b) 1.888E+00 mA
 * c) 2.077E+00 mA
 * d) 2.285E+00 mA
 * e) 2.514E+00 mA

5) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 467 V.  If the combined external and internal resistance is 172 &Omega and the capacitance is  74 mF, how long will it take for the capacitor's voltage to reach 258.0 V?


 * a) 7.688E+00 s
 * b) 8.457E+00 s
 * c) 9.303E+00 s
 * d) 1.023E+01 s
 * e) 1.126E+01 s

6) A given battery has a 9 V emf and an internal resistance of 0.16 &Omega;. If it is connected to a 0.45 &Omega; resistor what is the power dissipated by that load?


 * a) 6.691E+01 W
 * b) 7.360E+01 W
 * c) 8.096E+01 W
 * d) 8.905E+01 W
 * e) 9.796E+01 W

7) Three resistors, R1 = 0.906 &Omega;, and R2 = R2 = 2.02 &Omega;, are connected in parallel to a 5.98 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 3.262E+01 W
 * b) 3.588E+01 W
 * c) 3.947E+01 W
 * d) 4.342E+01 W
 * e) 4.776E+01 W

8) The resistances in the figure shown are R1= 2.34 &Omega;, R2= 1.34 &Omega;, and R2= 2.94 &Omega;. V1 and V3 are text 0.609 V and 1.68 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.541 V. What is the absolute value of the current through R1?


 * a) 1.464E-01 A
 * b) 1.610E-01 A
 * c) 1.772E-01 A
 * d) 1.949E-01 A
 * e) 2.144E-01 A

9) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=13.6 V are oriented as shownin the circuit. The resistances are R1=2.86 k&Omega; and  R2=2.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.02 mA and I4=0.854 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.380E+01 V
 * b) 1.518E+01 V
 * c) 1.670E+01 V
 * d) 1.837E+01 V
 * e) 2.020E+01 V

c10 X0
1) A given battery has a 15 V emf and an internal resistance of 0.177 &Omega;. If it is connected to a 0.824 &Omega; resistor what is the power dissipated by that load?


 * a) 1.682E+02 W
 * b) 1.850E+02 W
 * c) 2.035E+02 W
 * d) 2.239E+02 W
 * e) 2.463E+02 W

2) A battery with a terminal voltage of 9.88 V is connected to a circuit consisting of 3 15.9 &Omega; resistors and one 10.8 &Omega; resistor. What is the voltage drop across the 10.8 &Omega; resistor?


 * a) 1.370E+00 V
 * b) 1.507E+00 V
 * c) 1.658E+00 V
 * d) 1.824E+00 V
 * e) 2.006E+00 V

3) Three resistors, R1 = 0.686 &Omega;, and R2 = R2 = 1.58 &Omega;, are connected in parallel to a 8.97 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.173E+02 W
 * b) 1.290E+02 W
 * c) 1.419E+02 W
 * d) 1.561E+02 W
 * e) 1.717E+02 W

4) In the circuit shown V=10.8 V, R1=1.26 &Omega;, R2=5.65 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * a) 8.240E+00 W
 * b) 9.064E+00 W
 * c) 9.970E+00 W
 * d) 1.097E+01 W
 * e) 1.206E+01 W

5) The resistances in the figure shown are R1= 2.34 &Omega;, R2= 1.34 &Omega;, and R2= 2.94 &Omega;. V1 and V3 are text 0.609 V and 1.68 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.541 V. What is the absolute value of the current through R1?


 * a) 1.464E-01 A
 * b) 1.610E-01 A
 * c) 1.772E-01 A
 * d) 1.949E-01 A
 * e) 2.144E-01 A

6) Two sources of emf &epsilon;1=40.3 V, and  &epsilon;2=16.8 V are oriented as shownin the circuit. The resistances are R1=2.57 k&Omega; and  R2=2.25 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.96 mA and I4=0.752 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.825E+00 mA
 * b) 2.007E+00 mA
 * c) 2.208E+00 mA
 * d) 2.429E+00 mA
 * e) 2.672E+00 mA

7) Two sources of emf &epsilon;1=28.6 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=3.73 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.27 mA and I4=0.774 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 6.641E+00 V
 * b) 7.305E+00 V
 * c) 8.035E+00 V
 * d) 8.839E+00 V
 * e) 9.723E+00 V

8) Two sources of emf &epsilon;1=45.3 V, and  &epsilon;2=13.3 V are oriented as shownin the circuit. The resistances are R1=3.82 k&Omega; and  R2=1.5 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=6.17 mA and I4=1.11 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.177E+01 V
 * b) 1.295E+01 V
 * c) 1.424E+01 V
 * d) 1.567E+01 V
 * e) 1.723E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 466 V.  If the combined external and internal resistance is 123 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 331.0 V?


 * a) 9.571E+00 s
 * b) 1.053E+01 s
 * c) 1.158E+01 s
 * d) 1.274E+01 s
 * e) 1.401E+01 s

c10 X1
1) Two sources of emf &epsilon;1=21.6 V, and  &epsilon;2=8.59 V are oriented as shownin the circuit. The resistances are R1=4.97 k&Omega; and  R2=1.69 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.2 mA and I4=0.749 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 6.064E+00 V
 * b) 6.670E+00 V
 * c) 7.337E+00 V
 * d) 8.071E+00 V
 * e) 8.878E+00 V

2) The resistances in the figure shown are R1= 1.6 &Omega;, R2= 1.3 &Omega;, and R2= 2.22 &Omega;. V1 and V3 are text 0.55 V and 3.18 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.743 V. What is the absolute value of the current through R1?


 * a) 1.721E-01 A
 * b) 1.893E-01 A
 * c) 2.082E-01 A
 * d) 2.291E-01 A
 * e) 2.520E-01 A

3) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 433 V.  If the combined external and internal resistance is 275 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 223.0 V?


 * a) 1.104E+01 s
 * b) 1.214E+01 s
 * c) 1.335E+01 s
 * d) 1.469E+01 s
 * e) 1.616E+01 s

4) A given battery has a 14 V emf and an internal resistance of 0.192 &Omega;. If it is connected to a 0.766 &Omega; resistor what is the power dissipated by that load?


 * a) 1.229E+02 W
 * b) 1.352E+02 W
 * c) 1.487E+02 W
 * d) 1.636E+02 W
 * e) 1.799E+02 W

5) Two sources of emf &epsilon;1=38.8 V, and  &epsilon;2=14.9 V are oriented as shownin the circuit. The resistances are R1=5.83 k&Omega; and  R2=1.77 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.57 mA and I4=1.19 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 1.013E+01 V
 * b) 1.115E+01 V
 * c) 1.226E+01 V
 * d) 1.349E+01 V
 * e) 1.484E+01 V

6) In the circuit shown V=15.4 V, R1=2.55 &Omega;, R2=5.12 &Omega;, and R3=12.7 &Omega;. What is the power dissipated by R2?


 * a) 1.096E+01 W
 * b) 1.206E+01 W
 * c) 1.326E+01 W
 * d) 1.459E+01 W
 * e) 1.605E+01 W

7) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 &Omega; resistors and one 12.8 &Omega; resistor. What is the voltage drop across the 12.8 &Omega; resistor?


 * a) 2.467E+00 V
 * b) 2.714E+00 V
 * c) 2.985E+00 V
 * d) 3.283E+00 V
 * e) 3.612E+00 V

8) Three resistors, R1 = 1.82 &Omega;, and R2 = R2 = 4.14 &Omega;, are connected in parallel to a 5.65 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.754E+01 W
 * b) 1.929E+01 W
 * c) 2.122E+01 W
 * d) 2.335E+01 W
 * e) 2.568E+01 W

9) Two sources of emf &epsilon;1=20.6 V, and  &epsilon;2=9.53 V are oriented as shownin the circuit. The resistances are R1=5.46 k&Omega; and  R2=2.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.5 mA and I4=0.415 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.085E+00 mA
 * b) 1.194E+00 mA
 * c) 1.313E+00 mA
 * d) 1.444E+00 mA
 * e) 1.589E+00 mA

c10 X2
1) The resistances in the figure shown are R1= 2.34 &Omega;, R2= 1.34 &Omega;, and R2= 2.94 &Omega;. V1 and V3 are text 0.609 V and 1.68 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.541 V. What is the absolute value of the current through R1?


 * a) 1.464E-01 A
 * b) 1.610E-01 A
 * c) 1.772E-01 A
 * d) 1.949E-01 A
 * e) 2.144E-01 A

2) A given battery has a 15 V emf and an internal resistance of 0.177 &Omega;. If it is connected to a 0.824 &Omega; resistor what is the power dissipated by that load?


 * a) 1.682E+02 W
 * b) 1.850E+02 W
 * c) 2.035E+02 W
 * d) 2.239E+02 W
 * e) 2.463E+02 W

3) In the circuit shown V=13.5 V, R1=2.66 &Omega;, R2=7.29 &Omega;, and R3=14.5 &Omega;. What is the power dissipated by R2?


 * a) 7.123E+00 W
 * b) 7.835E+00 W
 * c) 8.618E+00 W
 * d) 9.480E+00 W
 * e) 1.043E+01 W

4) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 2 15.9 &Omega; resistors and one 10.4 &Omega; resistor. What is the voltage drop across the 10.4 &Omega; resistor?


 * a) 1.709E+00 V
 * b) 1.880E+00 V
 * c) 2.068E+00 V
 * d) 2.275E+00 V
 * e) 2.503E+00 V

5) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 213 V.  If the combined external and internal resistance is 118 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 142.0 V?


 * a) 5.401E+00 s
 * b) 5.941E+00 s
 * c) 6.535E+00 s
 * d) 7.189E+00 s
 * e) 7.908E+00 s

6) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=15.7 V are oriented as shownin the circuit. The resistances are R1=2.24 k&Omega; and  R2=2.23 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.01 mA and I4=0.86 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.955E+00 mA
 * b) 2.150E+00 mA
 * c) 2.365E+00 mA
 * d) 2.601E+00 mA
 * e) 2.862E+00 mA

7) Three resistors, R1 = 0.624 &Omega;, and R2 = R2 = 1.37 &Omega;, are connected in parallel to a 7.46 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 7.371E+01 W
 * b) 8.108E+01 W
 * c) 8.919E+01 W
 * d) 9.810E+01 W
 * e) 1.079E+02 W

8) Two sources of emf &epsilon;1=39.4 V, and  &epsilon;2=12.2 V are oriented as shownin the circuit. The resistances are R1=3.84 k&Omega; and  R2=2.01 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.71 mA and I4=0.669 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 8.825E+00 V
 * b) 9.708E+00 V
 * c) 1.068E+01 V
 * d) 1.175E+01 V
 * e) 1.292E+01 V

9) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=11.5 V are oriented as shownin the circuit. The resistances are R1=2.13 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.11 mA and I4=0.746 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 4.275E+00 V
 * b) 4.703E+00 V
 * c) 5.173E+00 V
 * d) 5.691E+00 V
 * e) 6.260E+00 V

c10 Y0
1) A given battery has a 12 V emf and an internal resistance of 0.0984 &Omega;. If it is connected to a 0.485 &Omega; resistor what is the power dissipated by that load?


 * a) 2.052E+02 W
 * b) 2.257E+02 W
 * c) 2.483E+02 W
 * d) 2.731E+02 W
 * e) 3.004E+02 W

2) A battery with a terminal voltage of 8.66 V is connected to a circuit consisting of 3 19.6 &Omega; resistors and one 10.6 &Omega; resistor. What is the voltage drop across the 10.6 &Omega; resistor?


 * a) 1.202E+00 V
 * b) 1.323E+00 V
 * c) 1.455E+00 V
 * d) 1.600E+00 V
 * e) 1.761E+00 V

3) Three resistors, R1 = 0.61 &Omega;, and R2 = R2 = 1.35 &Omega;, are connected in parallel to a 7.04 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 7.386E+01 W
 * b) 8.125E+01 W
 * c) 8.937E+01 W
 * d) 9.831E+01 W
 * e) 1.081E+02 W

4) In the circuit shown V=10.9 V, R1=1.68 &Omega;, R2=7.52 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * a) 7.827E+00 W
 * b) 8.610E+00 W
 * c) 9.470E+00 W
 * d) 1.042E+01 W
 * e) 1.146E+01 W

5) The resistances in the figure shown are R1= 2.73 &Omega;, R2= 1.4 &Omega;, and R2= 2.35 &Omega;. V1 and V3 are text 0.549 V and 1.27 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.584 V. What is the absolute value of the current through R1?


 * a) 1.213E-01 A
 * b) 1.334E-01 A
 * c) 1.468E-01 A
 * d) 1.614E-01 A
 * e) 1.776E-01 A

6) Two sources of emf &epsilon;1=39.0 V, and  &epsilon;2=15.9 V are oriented as shownin the circuit. The resistances are R1=3.4 k&Omega; and  R2=2.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.58 mA and I4=0.978 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.150E+00 mA
 * b) 2.365E+00 mA
 * c) 2.602E+00 mA
 * d) 2.862E+00 mA
 * e) 3.148E+00 mA

7) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=16.9 V are oriented as shownin the circuit. The resistances are R1=3.3 k&Omega; and  R2=2.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.34 mA and I4=0.955 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 7.031E+00 V
 * b) 7.734E+00 V
 * c) 8.507E+00 V
 * d) 9.358E+00 V
 * e) 1.029E+01 V

8) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=13.6 V are oriented as shownin the circuit. The resistances are R1=2.86 k&Omega; and  R2=2.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.02 mA and I4=0.854 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.380E+01 V
 * b) 1.518E+01 V
 * c) 1.670E+01 V
 * d) 1.837E+01 V
 * e) 2.020E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 129 V.  If the combined external and internal resistance is 169 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 109.0 V?


 * a) 2.177E+01 s
 * b) 2.394E+01 s
 * c) 2.634E+01 s
 * d) 2.897E+01 s
 * e) 3.187E+01 s

c10 Y1
1) The resistances in the figure shown are R1= 1.54 &Omega;, R2= 0.927 &Omega;, and R2= 2.46 &Omega;. V1 and V3 are text 0.632 V and 2.12 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.586 V. What is the absolute value of the current through R1?


 * a) 1.770E-01 A
 * b) 1.947E-01 A
 * c) 2.141E-01 A
 * d) 2.355E-01 A
 * e) 2.591E-01 A

2) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 327 V.  If the combined external and internal resistance is 204 &Omega and the capacitance is  68 mF, how long will it take for the capacitor's voltage to reach 218.0 V?


 * a) 1.385E+01 s
 * b) 1.524E+01 s
 * c) 1.676E+01 s
 * d) 1.844E+01 s
 * e) 2.028E+01 s

3) A battery with a terminal voltage of 14.6 V is connected to a circuit consisting of 2 21.7 &Omega; resistors and one 14.4 &Omega; resistor. What is the voltage drop across the 14.4 &Omega; resistor?


 * a) 3.637E+00 V
 * b) 4.001E+00 V
 * c) 4.401E+00 V
 * d) 4.841E+00 V
 * e) 5.325E+00 V

4) Two sources of emf &epsilon;1=67.2 V, and  &epsilon;2=18.7 V are oriented as shownin the circuit. The resistances are R1=3.45 k&Omega; and  R2=1.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=9.49 mA and I4=1.81 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.906E+01 V
 * b) 2.097E+01 V
 * c) 2.306E+01 V
 * d) 2.537E+01 V
 * e) 2.790E+01 V

5) A given battery has a 12 V emf and an internal resistance of 0.107 &Omega;. If it is connected to a 0.814 &Omega; resistor what is the power dissipated by that load?


 * a) 1.382E+02 W
 * b) 1.520E+02 W
 * c) 1.672E+02 W
 * d) 1.839E+02 W
 * e) 2.023E+02 W

6) In the circuit shown V=15.4 V, R1=2.55 &Omega;, R2=5.12 &Omega;, and R3=12.7 &Omega;. What is the power dissipated by R2?


 * a) 1.096E+01 W
 * b) 1.206E+01 W
 * c) 1.326E+01 W
 * d) 1.459E+01 W
 * e) 1.605E+01 W

7) Two sources of emf &epsilon;1=28.6 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=3.73 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.27 mA and I4=0.774 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 6.641E+00 V
 * b) 7.305E+00 V
 * c) 8.035E+00 V
 * d) 8.839E+00 V
 * e) 9.723E+00 V

8) Three resistors, R1 = 1.31 &Omega;, and R2 = R2 = 2.91 &Omega;, are connected in parallel to a 6.03 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 2.294E+01 W
 * b) 2.523E+01 W
 * c) 2.776E+01 W
 * d) 3.053E+01 W
 * e) 3.359E+01 W

9) Two sources of emf &epsilon;1=18.2 V, and  &epsilon;2=6.59 V are oriented as shownin the circuit. The resistances are R1=5.47 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.64 mA and I4=0.341 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.299E+00 mA
 * b) 1.429E+00 mA
 * c) 1.572E+00 mA
 * d) 1.729E+00 mA
 * e) 1.902E+00 mA

c10 Y2
1) Two sources of emf &epsilon;1=43.7 V, and  &epsilon;2=13.1 V are oriented as shownin the circuit. The resistances are R1=5.21 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.86 mA and I4=0.9 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.691E+00 mA
 * b) 2.960E+00 mA
 * c) 3.256E+00 mA
 * d) 3.582E+00 mA
 * e) 3.940E+00 mA

2) Two sources of emf &epsilon;1=57.0 V, and  &epsilon;2=18.1 V are oriented as shownin the circuit. The resistances are R1=4.95 k&Omega; and  R2=2.09 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.23 mA and I4=1.04 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 1.921E+01 V
 * b) 2.114E+01 V
 * c) 2.325E+01 V
 * d) 2.557E+01 V
 * e) 2.813E+01 V

3) A given battery has a 13 V emf and an internal resistance of 0.113 &Omega;. If it is connected to a 0.686 &Omega; resistor what is the power dissipated by that load?


 * a) 1.501E+02 W
 * b) 1.651E+02 W
 * c) 1.816E+02 W
 * d) 1.998E+02 W
 * e) 2.197E+02 W

4) Three resistors, R1 = 1.2 &Omega;, and R2 = R2 = 2.75 &Omega;, are connected in parallel to a 6.42 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 2.581E+01 W
 * b) 2.839E+01 W
 * c) 3.122E+01 W
 * d) 3.435E+01 W
 * e) 3.778E+01 W

5) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 543 V.  If the combined external and internal resistance is 201 &Omega and the capacitance is  82 mF, how long will it take for the capacitor's voltage to reach 281.0 V?


 * a) 9.024E+00 s
 * b) 9.927E+00 s
 * c) 1.092E+01 s
 * d) 1.201E+01 s
 * e) 1.321E+01 s

6) In the circuit shown V=16.1 V, R1=1.18 &Omega;, R2=5.28 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * a) 2.172E+01 W
 * b) 2.389E+01 W
 * c) 2.628E+01 W
 * d) 2.891E+01 W
 * e) 3.180E+01 W

7) Two sources of emf &epsilon;1=18.6 V, and  &epsilon;2=5.63 V are oriented as shownin the circuit. The resistances are R1=3.9 k&Omega; and  R2=1.1 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.41 mA and I4=0.614 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 4.342E+00 V
 * b) 4.776E+00 V
 * c) 5.254E+00 V
 * d) 5.779E+00 V
 * e) 6.357E+00 V

8) The resistances in the figure shown are R1= 2.38 &Omega;, R2= 1.87 &Omega;, and R2= 2.32 &Omega;. V1 and V3 are text 0.605 V and 3.8 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.67 V. What is the absolute value of the current through R1?


 * a) 8.147E-02 A
 * b) 8.962E-02 A
 * c) 9.858E-02 A
 * d) 1.084E-01 A
 * e) 1.193E-01 A

9) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * a) 1.234E+00 V
 * b) 1.358E+00 V
 * c) 1.493E+00 V
 * d) 1.643E+00 V
 * e) 1.807E+00 V

c10 Z0
1) A given battery has a 15 V emf and an internal resistance of 0.113 &Omega;. If it is connected to a 0.645 &Omega; resistor what is the power dissipated by that load?


 * a) 1.898E+02 W
 * b) 2.087E+02 W
 * c) 2.296E+02 W
 * d) 2.526E+02 W
 * e) 2.778E+02 W

2) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 2 15.9 &Omega; resistors and one 10.4 &Omega; resistor. What is the voltage drop across the 10.4 &Omega; resistor?


 * a) 1.709E+00 V
 * b) 1.880E+00 V
 * c) 2.068E+00 V
 * d) 2.275E+00 V
 * e) 2.503E+00 V

3) Three resistors, R1 = 1.41 &Omega;, and R2 = R2 = 3.17 &Omega;, are connected in parallel to a 5.89 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.681E+01 W
 * b) 1.849E+01 W
 * c) 2.033E+01 W
 * d) 2.237E+01 W
 * e) 2.460E+01 W

4) In the circuit shown V=11.9 V, R1=2.75 &Omega;, R2=7.19 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * a) 7.982E+00 W
 * b) 8.780E+00 W
 * c) 9.658E+00 W
 * d) 1.062E+01 W
 * e) 1.169E+01 W

5) The resistances in the figure shown are R1= 1.18 &Omega;, R2= 0.878 &Omega;, and R2= 2.11 &Omega;. V1 and V3 are text 0.637 V and 3.51 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.547 V. What is the absolute value of the current through R1?


 * a) 1.701E-01 A
 * b) 1.871E-01 A
 * c) 2.058E-01 A
 * d) 2.264E-01 A
 * e) 2.490E-01 A

6) Two sources of emf &epsilon;1=30.5 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.79 k&Omega; and  R2=1.86 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.07 mA and I4=0.73 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.281E+00 mA
 * b) 2.509E+00 mA
 * c) 2.760E+00 mA
 * d) 3.036E+00 mA
 * e) 3.340E+00 mA

7) Two sources of emf &epsilon;1=16.8 V, and  &epsilon;2=7.15 V are oriented as shownin the circuit. The resistances are R1=3.12 k&Omega; and  R2=1.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.95 mA and I4=0.603 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 4.108E+00 V
 * b) 4.519E+00 V
 * c) 4.970E+00 V
 * d) 5.468E+00 V
 * e) 6.014E+00 V

8) Two sources of emf &epsilon;1=18.6 V, and  &epsilon;2=5.63 V are oriented as shownin the circuit. The resistances are R1=3.9 k&Omega; and  R2=1.1 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.41 mA and I4=0.614 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 4.342E+00 V
 * b) 4.776E+00 V
 * c) 5.254E+00 V
 * d) 5.779E+00 V
 * e) 6.357E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 543 V.  If the combined external and internal resistance is 201 &Omega and the capacitance is  82 mF, how long will it take for the capacitor's voltage to reach 281.0 V?


 * a) 9.024E+00 s
 * b) 9.927E+00 s
 * c) 1.092E+01 s
 * d) 1.201E+01 s
 * e) 1.321E+01 s

c10 Z1
1) Two sources of emf &epsilon;1=49.8 V, and  &epsilon;2=18.1 V are oriented as shownin the circuit. The resistances are R1=2.78 k&Omega; and  R2=2.63 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.51 mA and I4=0.969 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 7.886E+00 V
 * b) 8.675E+00 V
 * c) 9.542E+00 V
 * d) 1.050E+01 V
 * e) 1.155E+01 V

2) The resistances in the figure shown are R1= 2.34 &Omega;, R2= 1.34 &Omega;, and R2= 2.94 &Omega;. V1 and V3 are text 0.609 V and 1.68 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.541 V. What is the absolute value of the current through R1?


 * a) 1.464E-01 A
 * b) 1.610E-01 A
 * c) 1.772E-01 A
 * d) 1.949E-01 A
 * e) 2.144E-01 A

3) A given battery has a 14 V emf and an internal resistance of 0.0842 &Omega;. If it is connected to a 0.835 &Omega; resistor what is the power dissipated by that load?


 * a) 1.455E+02 W
 * b) 1.601E+02 W
 * c) 1.761E+02 W
 * d) 1.937E+02 W
 * e) 2.131E+02 W

4) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 543 V.  If the combined external and internal resistance is 201 &Omega and the capacitance is  82 mF, how long will it take for the capacitor's voltage to reach 281.0 V?


 * a) 9.024E+00 s
 * b) 9.927E+00 s
 * c) 1.092E+01 s
 * d) 1.201E+01 s
 * e) 1.321E+01 s

5) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 2 20.3 &Omega; resistors and one 13.1 &Omega; resistor. What is the voltage drop across the 13.1 &Omega; resistor?


 * a) 2.843E+00 V
 * b) 3.127E+00 V
 * c) 3.440E+00 V
 * d) 3.784E+00 V
 * e) 4.162E+00 V

6) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=13.6 V are oriented as shownin the circuit. The resistances are R1=2.86 k&Omega; and  R2=2.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.02 mA and I4=0.854 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.380E+01 V
 * b) 1.518E+01 V
 * c) 1.670E+01 V
 * d) 1.837E+01 V
 * e) 2.020E+01 V

7) Three resistors, R1 = 1.74 &Omega;, and R2 = R2 = 3.92 &Omega;, are connected in parallel to a 8.5 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 2.836E+01 W
 * b) 3.120E+01 W
 * c) 3.432E+01 W
 * d) 3.775E+01 W
 * e) 4.152E+01 W

8) Two sources of emf &epsilon;1=18.2 V, and  &epsilon;2=6.59 V are oriented as shownin the circuit. The resistances are R1=5.47 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.64 mA and I4=0.341 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.299E+00 mA
 * b) 1.429E+00 mA
 * c) 1.572E+00 mA
 * d) 1.729E+00 mA
 * e) 1.902E+00 mA

9) In the circuit shown V=11.9 V, R1=2.75 &Omega;, R2=7.19 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * a) 7.982E+00 W
 * b) 8.780E+00 W
 * c) 9.658E+00 W
 * d) 1.062E+01 W
 * e) 1.169E+01 W

c10 Z2
1) Two sources of emf &epsilon;1=39.0 V, and  &epsilon;2=15.9 V are oriented as shownin the circuit. The resistances are R1=3.4 k&Omega; and  R2=2.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.58 mA and I4=0.978 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.150E+00 mA
 * b) 2.365E+00 mA
 * c) 2.602E+00 mA
 * d) 2.862E+00 mA
 * e) 3.148E+00 mA

2) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=11.5 V are oriented as shownin the circuit. The resistances are R1=2.13 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.11 mA and I4=0.746 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 4.275E+00 V
 * b) 4.703E+00 V
 * c) 5.173E+00 V
 * d) 5.691E+00 V
 * e) 6.260E+00 V

3) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 467 V.  If the combined external and internal resistance is 172 &Omega and the capacitance is  74 mF, how long will it take for the capacitor's voltage to reach 258.0 V?


 * a) 7.688E+00 s
 * b) 8.457E+00 s
 * c) 9.303E+00 s
 * d) 1.023E+01 s
 * e) 1.126E+01 s

4) Two sources of emf &epsilon;1=24.4 V, and  &epsilon;2=6.73 V are oriented as shownin the circuit. The resistances are R1=5.7 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.36 mA and I4=0.418 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 5.418E+00 V
 * b) 5.960E+00 V
 * c) 6.556E+00 V
 * d) 7.212E+00 V
 * e) 7.933E+00 V

5) In the circuit shown V=11.9 V, R1=2.75 &Omega;, R2=7.19 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * a) 7.982E+00 W
 * b) 8.780E+00 W
 * c) 9.658E+00 W
 * d) 1.062E+01 W
 * e) 1.169E+01 W

6) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 &Omega; resistors and one 10.2 &Omega; resistor. What is the voltage drop across the 10.2 &Omega; resistor?


 * a) 2.074E+00 V
 * b) 2.282E+00 V
 * c) 2.510E+00 V
 * d) 2.761E+00 V
 * e) 3.037E+00 V

7) A given battery has a 11 V emf and an internal resistance of 0.0998 &Omega;. If it is connected to a 0.417 &Omega; resistor what is the power dissipated by that load?


 * a) 1.419E+02 W
 * b) 1.561E+02 W
 * c) 1.717E+02 W
 * d) 1.889E+02 W
 * e) 2.078E+02 W

8) Three resistors, R1 = 1.74 &Omega;, and R2 = R2 = 3.92 &Omega;, are connected in parallel to a 8.5 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 2.836E+01 W
 * b) 3.120E+01 W
 * c) 3.432E+01 W
 * d) 3.775E+01 W
 * e) 4.152E+01 W

9) The resistances in the figure shown are R1= 2.42 &Omega;, R2= 1.09 &Omega;, and R2= 3.89 &Omega;. V1 and V3 are text 0.677 V and 1.86 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.745 V. What is the absolute value of the current through R1?


 * a) 2.089E-01 A
 * b) 2.298E-01 A
 * c) 2.528E-01 A
 * d) 2.781E-01 A
 * e) 3.059E-01 A


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Key: A0
1) A given battery has a 9 V emf and an internal resistance of 0.141 &Omega;. If it is connected to a 0.663 &Omega; resistor what is the power dissipated by that load?


 * -a) 5.674E+01 W
 * -b) 6.242E+01 W
 * -c) 6.866E+01 W
 * -d) 7.553E+01 W
 * +e) 8.308E+01 W

2) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 2 15.9 &Omega; resistors and one 10.4 &Omega; resistor. What is the voltage drop across the 10.4 &Omega; resistor?


 * -a) 1.709E+00 V
 * +b) 1.880E+00 V
 * -c) 2.068E+00 V
 * -d) 2.275E+00 V
 * -e) 2.503E+00 V

3) Three resistors, R1 = 1.31 &Omega;, and R2 = R2 = 2.91 &Omega;, are connected in parallel to a 6.03 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 2.294E+01 W
 * -b) 2.523E+01 W
 * +c) 2.776E+01 W
 * -d) 3.053E+01 W
 * -e) 3.359E+01 W

4) In the circuit shown V=17.8 V, R1=2.27 &Omega;, R2=6.79 &Omega;, and R3=15.1 &Omega;. What is the power dissipated by R2?


 * -a) 1.446E+01 W
 * -b) 1.591E+01 W
 * -c) 1.750E+01 W
 * -d) 1.925E+01 W
 * +e) 2.117E+01 W

5) The resistances in the figure shown are R1= 1.57 &Omega;, R2= 1.25 &Omega;, and R2= 3.38 &Omega;. V1 and V3 are text 0.585 V and 2.91 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.55 V. What is the absolute value of the current through R1?


 * -a) 1.427E-01 A
 * -b) 1.569E-01 A
 * +c) 1.726E-01 A
 * -d) 1.899E-01 A
 * -e) 2.089E-01 A

6) Two sources of emf &epsilon;1=49.6 V, and  &epsilon;2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 3.055E+00 mA
 * +b) 3.360E+00 mA
 * -c) 3.696E+00 mA
 * -d) 4.066E+00 mA
 * -e) 4.472E+00 mA

7) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=16.9 V are oriented as shownin the circuit. The resistances are R1=3.3 k&Omega; and  R2=2.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.34 mA and I4=0.955 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 7.031E+00 V
 * +b) 7.734E+00 V
 * -c) 8.507E+00 V
 * -d) 9.358E+00 V
 * -e) 1.029E+01 V

8) Two sources of emf &epsilon;1=24.4 V, and  &epsilon;2=6.73 V are oriented as shownin the circuit. The resistances are R1=5.7 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.36 mA and I4=0.418 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 5.418E+00 V
 * -b) 5.960E+00 V
 * -c) 6.556E+00 V
 * -d) 7.212E+00 V
 * +e) 7.933E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 439 V.  If the combined external and internal resistance is 221 &Omega and the capacitance is  54 mF, how long will it take for the capacitor's voltage to reach 350.0 V?


 * +a) 1.905E+01 s
 * -b) 2.095E+01 s
 * -c) 2.304E+01 s
 * -d) 2.535E+01 s
 * -e) 2.788E+01 s

Key: A1
1) Two sources of emf &epsilon;1=39.4 V, and  &epsilon;2=12.2 V are oriented as shownin the circuit. The resistances are R1=3.84 k&Omega; and  R2=2.01 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.71 mA and I4=0.669 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 8.825E+00 V
 * -b) 9.708E+00 V
 * -c) 1.068E+01 V
 * -d) 1.175E+01 V
 * +e) 1.292E+01 V

2) The resistances in the figure shown are R1= 2.74 &Omega;, R2= 1.63 &Omega;, and R2= 2.75 &Omega;. V1 and V3 are text 0.485 V and 2.01 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.555 V. What is the absolute value of the current through R1?


 * -a) 1.114E-01 A
 * +b) 1.225E-01 A
 * -c) 1.348E-01 A
 * -d) 1.483E-01 A
 * -e) 1.631E-01 A

3) Two sources of emf &epsilon;1=29.3 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=5.65 k&Omega; and  R2=2.68 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.81 mA and I4=0.525 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 1.717E+00 mA
 * -b) 1.888E+00 mA
 * -c) 2.077E+00 mA
 * +d) 2.285E+00 mA
 * -e) 2.514E+00 mA

4) Three resistors, R1 = 1.23 &Omega;, and R2 = R2 = 2.73 &Omega;, are connected in parallel to a 5.41 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.788E+01 W
 * -b) 1.967E+01 W
 * -c) 2.163E+01 W
 * +d) 2.380E+01 W
 * -e) 2.617E+01 W

5) In the circuit shown V=10.9 V, R1=1.68 &Omega;, R2=7.52 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * -a) 7.827E+00 W
 * +b) 8.610E+00 W
 * -c) 9.470E+00 W
 * -d) 1.042E+01 W
 * -e) 1.146E+01 W

6) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 319 V.  If the combined external and internal resistance is 231 &Omega and the capacitance is  64 mF, how long will it take for the capacitor's voltage to reach 175.0 V?


 * -a) 9.718E+00 s
 * -b) 1.069E+01 s
 * +c) 1.176E+01 s
 * -d) 1.293E+01 s
 * -e) 1.423E+01 s

7) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=14.4 V are oriented as shownin the circuit. The resistances are R1=4.33 k&Omega; and  R2=1.65 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.59 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 9.142E+00 V
 * -b) 1.006E+01 V
 * +c) 1.106E+01 V
 * -d) 1.217E+01 V
 * -e) 1.338E+01 V

8) A given battery has a 15 V emf and an internal resistance of 0.113 &Omega;. If it is connected to a 0.645 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.898E+02 W
 * -b) 2.087E+02 W
 * -c) 2.296E+02 W
 * +d) 2.526E+02 W
 * -e) 2.778E+02 W

9) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * +a) 1.234E+00 V
 * -b) 1.358E+00 V
 * -c) 1.493E+00 V
 * -d) 1.643E+00 V
 * -e) 1.807E+00 V

Key: A2
1) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 &Omega; resistors and one 9.58 &Omega; resistor. What is the voltage drop across the 9.58 &Omega; resistor?


 * -a) 1.677E+00 V
 * -b) 1.844E+00 V
 * +c) 2.029E+00 V
 * -d) 2.231E+00 V
 * -e) 2.455E+00 V

2) Two sources of emf &epsilon;1=20.6 V, and  &epsilon;2=9.53 V are oriented as shownin the circuit. The resistances are R1=5.46 k&Omega; and  R2=2.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.5 mA and I4=0.415 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 1.085E+00 mA
 * -b) 1.194E+00 mA
 * -c) 1.313E+00 mA
 * -d) 1.444E+00 mA
 * -e) 1.589E+00 mA

3) The resistances in the figure shown are R1= 1.54 &Omega;, R2= 0.927 &Omega;, and R2= 2.46 &Omega;. V1 and V3 are text 0.632 V and 2.12 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.586 V. What is the absolute value of the current through R1?


 * -a) 1.770E-01 A
 * -b) 1.947E-01 A
 * +c) 2.141E-01 A
 * -d) 2.355E-01 A
 * -e) 2.591E-01 A

4) Three resistors, R1 = 1.23 &Omega;, and R2 = R2 = 2.73 &Omega;, are connected in parallel to a 5.41 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.788E+01 W
 * -b) 1.967E+01 W
 * -c) 2.163E+01 W
 * +d) 2.380E+01 W
 * -e) 2.617E+01 W

5) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=11.5 V are oriented as shownin the circuit. The resistances are R1=2.13 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.11 mA and I4=0.746 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 4.275E+00 V
 * -b) 4.703E+00 V
 * +c) 5.173E+00 V
 * -d) 5.691E+00 V
 * -e) 6.260E+00 V

6) In the circuit shown V=17.9 V, R1=1.3 &Omega;, R2=5.1 &Omega;, and R3=12.1 &Omega;. What is the power dissipated by R2?


 * -a) 2.543E+01 W
 * -b) 2.798E+01 W
 * -c) 3.077E+01 W
 * +d) 3.385E+01 W
 * -e) 3.724E+01 W

7) A given battery has a 14 V emf and an internal resistance of 0.192 &Omega;. If it is connected to a 0.766 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.229E+02 W
 * -b) 1.352E+02 W
 * -c) 1.487E+02 W
 * +d) 1.636E+02 W
 * -e) 1.799E+02 W

8) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 554 V.  If the combined external and internal resistance is 228 &Omega and the capacitance is  93 mF, how long will it take for the capacitor's voltage to reach 450.0 V?


 * -a) 3.224E+01 s
 * +b) 3.547E+01 s
 * -c) 3.902E+01 s
 * -d) 4.292E+01 s
 * -e) 4.721E+01 s

9) Two sources of emf &epsilon;1=42.2 V, and  &epsilon;2=17.8 V are oriented as shownin the circuit. The resistances are R1=4.2 k&Omega; and  R2=2.83 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.5 mA and I4=0.749 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 1.056E+01 V
 * -b) 1.161E+01 V
 * -c) 1.277E+01 V
 * +d) 1.405E+01 V
 * -e) 1.545E+01 V

Key: B0
1) A given battery has a 13 V emf and an internal resistance of 0.161 &Omega;. If it is connected to a 0.814 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.087E+02 W
 * -b) 1.196E+02 W
 * -c) 1.316E+02 W
 * +d) 1.447E+02 W
 * -e) 1.592E+02 W

2) A battery with a terminal voltage of 9.88 V is connected to a circuit consisting of 3 15.9 &Omega; resistors and one 10.8 &Omega; resistor. What is the voltage drop across the 10.8 &Omega; resistor?


 * -a) 1.370E+00 V
 * -b) 1.507E+00 V
 * -c) 1.658E+00 V
 * +d) 1.824E+00 V
 * -e) 2.006E+00 V

3) Three resistors, R1 = 1.41 &Omega;, and R2 = R2 = 3.17 &Omega;, are connected in parallel to a 5.89 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.681E+01 W
 * -b) 1.849E+01 W
 * -c) 2.033E+01 W
 * -d) 2.237E+01 W
 * +e) 2.460E+01 W

4) In the circuit shown V=15.2 V, R1=1.6 &Omega;, R2=7.89 &Omega;, and R3=15.3 &Omega;. What is the power dissipated by R2?


 * +a) 1.713E+01 W
 * -b) 1.885E+01 W
 * -c) 2.073E+01 W
 * -d) 2.280E+01 W
 * -e) 2.508E+01 W

5) The resistances in the figure shown are R1= 1.1 &Omega;, R2= 1.55 &Omega;, and R2= 2.11 &Omega;. V1 and V3 are text 0.545 V and 3.22 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.744 V. What is the absolute value of the current through R1?


 * -a) 1.886E-01 A
 * +b) 2.075E-01 A
 * -c) 2.282E-01 A
 * -d) 2.510E-01 A
 * -e) 2.761E-01 A

6) Two sources of emf &epsilon;1=29.5 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=2.45 k&Omega; and  R2=1.96 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.03 mA and I4=0.783 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 2.247E+00 mA
 * -b) 2.472E+00 mA
 * -c) 2.719E+00 mA
 * -d) 2.991E+00 mA
 * -e) 3.290E+00 mA

7) Two sources of emf &epsilon;1=30.6 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.46 k&Omega; and  R2=2.77 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.97 mA and I4=0.643 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 4.986E+00 V
 * -b) 5.484E+00 V
 * -c) 6.033E+00 V
 * -d) 6.636E+00 V
 * +e) 7.299E+00 V

8) Two sources of emf &epsilon;1=40.7 V, and  &epsilon;2=12.3 V are oriented as shownin the circuit. The resistances are R1=3.5 k&Omega; and  R2=1.94 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.42 mA and I4=0.932 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * +a) 1.440E+01 V
 * -b) 1.584E+01 V
 * -c) 1.742E+01 V
 * -d) 1.916E+01 V
 * -e) 2.108E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 129 V.  If the combined external and internal resistance is 169 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 109.0 V?


 * -a) 2.177E+01 s
 * +b) 2.394E+01 s
 * -c) 2.634E+01 s
 * -d) 2.897E+01 s
 * -e) 3.187E+01 s

Key: B1
1) Two sources of emf &epsilon;1=30.3 V, and  &epsilon;2=8.6 V are oriented as shownin the circuit. The resistances are R1=3.81 k&Omega; and  R2=2.39 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.38 mA and I4=0.416 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 8.945E+00 V
 * +b) 9.840E+00 V
 * -c) 1.082E+01 V
 * -d) 1.191E+01 V
 * -e) 1.310E+01 V

2) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * +a) 1.234E+00 V
 * -b) 1.358E+00 V
 * -c) 1.493E+00 V
 * -d) 1.643E+00 V
 * -e) 1.807E+00 V

3) Two sources of emf &epsilon;1=40.3 V, and  &epsilon;2=16.8 V are oriented as shownin the circuit. The resistances are R1=2.57 k&Omega; and  R2=2.25 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.96 mA and I4=0.752 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 1.825E+00 mA
 * -b) 2.007E+00 mA
 * +c) 2.208E+00 mA
 * -d) 2.429E+00 mA
 * -e) 2.672E+00 mA

4) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 558 V.  If the combined external and internal resistance is 198 &Omega and the capacitance is  80 mF, how long will it take for the capacitor's voltage to reach 345.0 V?


 * -a) 1.146E+01 s
 * -b) 1.261E+01 s
 * -c) 1.387E+01 s
 * +d) 1.525E+01 s
 * -e) 1.678E+01 s

5) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.842E+01 W
 * -b) 2.026E+01 W
 * +c) 2.228E+01 W
 * -d) 2.451E+01 W
 * -e) 2.696E+01 W

6) Two sources of emf &epsilon;1=21.6 V, and  &epsilon;2=8.59 V are oriented as shownin the circuit. The resistances are R1=4.97 k&Omega; and  R2=1.69 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.2 mA and I4=0.749 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 6.064E+00 V
 * -b) 6.670E+00 V
 * +c) 7.337E+00 V
 * -d) 8.071E+00 V
 * -e) 8.878E+00 V

7) In the circuit shown V=16.2 V, R1=2.84 &Omega;, R2=7.06 &Omega;, and R3=13.1 &Omega;. What is the power dissipated by R2?


 * +a) 1.418E+01 W
 * -b) 1.560E+01 W
 * -c) 1.716E+01 W
 * -d) 1.887E+01 W
 * -e) 2.076E+01 W

8) The resistances in the figure shown are R1= 1.81 &Omega;, R2= 1.18 &Omega;, and R2= 2.62 &Omega;. V1 and V3 are text 0.628 V and 2.54 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.748 V. What is the absolute value of the current through R1?


 * -a) 1.552E-01 A
 * -b) 1.707E-01 A
 * -c) 1.878E-01 A
 * -d) 2.065E-01 A
 * +e) 2.272E-01 A

9) A given battery has a 10 V emf and an internal resistance of 0.119 &Omega;. If it is connected to a 0.445 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.272E+02 W
 * +b) 1.399E+02 W
 * -c) 1.539E+02 W
 * -d) 1.693E+02 W
 * -e) 1.862E+02 W

Key: B2
1) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 &Omega; resistors and one 10.2 &Omega; resistor. What is the voltage drop across the 10.2 &Omega; resistor?


 * -a) 2.074E+00 V
 * -b) 2.282E+00 V
 * +c) 2.510E+00 V
 * -d) 2.761E+00 V
 * -e) 3.037E+00 V

2) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=14.4 V are oriented as shownin the circuit. The resistances are R1=4.33 k&Omega; and  R2=1.65 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.59 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 9.142E+00 V
 * -b) 1.006E+01 V
 * +c) 1.106E+01 V
 * -d) 1.217E+01 V
 * -e) 1.338E+01 V

3) Three resistors, R1 = 0.61 &Omega;, and R2 = R2 = 1.35 &Omega;, are connected in parallel to a 7.04 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 7.386E+01 W
 * +b) 8.125E+01 W
 * -c) 8.937E+01 W
 * -d) 9.831E+01 W
 * -e) 1.081E+02 W

4) In the circuit shown V=17.5 V, R1=2.34 &Omega;, R2=7.1 &Omega;, and R3=15.3 &Omega;. What is the power dissipated by R2?


 * -a) 1.784E+01 W
 * +b) 1.963E+01 W
 * -c) 2.159E+01 W
 * -d) 2.375E+01 W
 * -e) 2.612E+01 W

5) Two sources of emf &epsilon;1=17.3 V, and  &epsilon;2=6.46 V are oriented as shownin the circuit. The resistances are R1=2.54 k&Omega; and  R2=2.79 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.1 mA and I4=0.281 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 6.488E+00 V
 * +b) 7.137E+00 V
 * -c) 7.850E+00 V
 * -d) 8.635E+00 V
 * -e) 9.499E+00 V

6) A given battery has a 15 V emf and an internal resistance of 0.177 &Omega;. If it is connected to a 0.824 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.682E+02 W
 * +b) 1.850E+02 W
 * -c) 2.035E+02 W
 * -d) 2.239E+02 W
 * -e) 2.463E+02 W

7) Two sources of emf &epsilon;1=29.3 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=5.65 k&Omega; and  R2=2.68 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.81 mA and I4=0.525 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 1.717E+00 mA
 * -b) 1.888E+00 mA
 * -c) 2.077E+00 mA
 * +d) 2.285E+00 mA
 * -e) 2.514E+00 mA

8) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 569 V.  If the combined external and internal resistance is 137 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 419.0 V?


 * -a) 1.043E+01 s
 * -b) 1.147E+01 s
 * -c) 1.262E+01 s
 * +d) 1.388E+01 s
 * -e) 1.527E+01 s

9) The resistances in the figure shown are R1= 2.04 &Omega;, R2= 1.19 &Omega;, and R2= 2.5 &Omega;. V1 and V3 are text 0.507 V and 3.07 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.602 V. What is the absolute value of the current through R1?


 * +a) 1.401E-01 A
 * -b) 1.542E-01 A
 * -c) 1.696E-01 A
 * -d) 1.865E-01 A
 * -e) 2.052E-01 A

Key: C0
1) A given battery has a 14 V emf and an internal resistance of 0.132 &Omega;. If it is connected to a 0.689 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.656E+02 W
 * -b) 1.821E+02 W
 * +c) 2.003E+02 W
 * -d) 2.204E+02 W
 * -e) 2.424E+02 W

2) A battery with a terminal voltage of 14.6 V is connected to a circuit consisting of 2 21.7 &Omega; resistors and one 14.4 &Omega; resistor. What is the voltage drop across the 14.4 &Omega; resistor?


 * +a) 3.637E+00 V
 * -b) 4.001E+00 V
 * -c) 4.401E+00 V
 * -d) 4.841E+00 V
 * -e) 5.325E+00 V

3) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.842E+01 W
 * -b) 2.026E+01 W
 * +c) 2.228E+01 W
 * -d) 2.451E+01 W
 * -e) 2.696E+01 W

4) In the circuit shown V=18.4 V, R1=1.64 &Omega;, R2=6.56 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * -a) 2.470E+01 W
 * +b) 2.717E+01 W
 * -c) 2.989E+01 W
 * -d) 3.288E+01 W
 * -e) 3.617E+01 W

5) The resistances in the figure shown are R1= 1.1 &Omega;, R2= 1.55 &Omega;, and R2= 2.11 &Omega;. V1 and V3 are text 0.545 V and 3.22 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.744 V. What is the absolute value of the current through R1?


 * -a) 1.886E-01 A
 * +b) 2.075E-01 A
 * -c) 2.282E-01 A
 * -d) 2.510E-01 A
 * -e) 2.761E-01 A

6) Two sources of emf &epsilon;1=49.6 V, and  &epsilon;2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 3.055E+00 mA
 * +b) 3.360E+00 mA
 * -c) 3.696E+00 mA
 * -d) 4.066E+00 mA
 * -e) 4.472E+00 mA

7) Two sources of emf &epsilon;1=39.2 V, and  &epsilon;2=12.6 V are oriented as shownin the circuit. The resistances are R1=3.86 k&Omega; and  R2=1.89 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.05 mA and I4=0.701 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 8.687E+00 V
 * -b) 9.555E+00 V
 * -c) 1.051E+01 V
 * -d) 1.156E+01 V
 * +e) 1.272E+01 V

8) Two sources of emf &epsilon;1=14.3 V, and  &epsilon;2=5.6 V are oriented as shownin the circuit. The resistances are R1=5.31 k&Omega; and  R2=2.39 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.12 mA and I4=0.284 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 3.416E+00 V
 * -b) 3.757E+00 V
 * -c) 4.133E+00 V
 * +d) 4.546E+00 V
 * -e) 5.001E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 543 V.  If the combined external and internal resistance is 201 &Omega and the capacitance is  82 mF, how long will it take for the capacitor's voltage to reach 281.0 V?


 * -a) 9.024E+00 s
 * -b) 9.927E+00 s
 * -c) 1.092E+01 s
 * +d) 1.201E+01 s
 * -e) 1.321E+01 s

Key: C1
1) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 129 V.  If the combined external and internal resistance is 169 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 109.0 V?


 * -a) 2.177E+01 s
 * +b) 2.394E+01 s
 * -c) 2.634E+01 s
 * -d) 2.897E+01 s
 * -e) 3.187E+01 s

2) Two sources of emf &epsilon;1=34.7 V, and  &epsilon;2=13.9 V are oriented as shownin the circuit. The resistances are R1=3.68 k&Omega; and  R2=1.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.68 mA and I4=0.933 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 9.286E+00 V
 * -b) 1.021E+01 V
 * -c) 1.124E+01 V
 * +d) 1.236E+01 V
 * -e) 1.360E+01 V

3) A battery with a terminal voltage of 7.82 V is connected to a circuit consisting of 2 19.3 &Omega; resistors and one 12.2 &Omega; resistor. What is the voltage drop across the 12.2 &Omega; resistor?


 * -a) 1.552E+00 V
 * -b) 1.707E+00 V
 * +c) 1.878E+00 V
 * -d) 2.066E+00 V
 * -e) 2.272E+00 V

4) In the circuit shown V=19.6 V, R1=1.45 &Omega;, R2=7.85 &Omega;, and R3=15.8 &Omega;. What is the power dissipated by R2?


 * -a) 2.730E+01 W
 * +b) 3.003E+01 W
 * -c) 3.304E+01 W
 * -d) 3.634E+01 W
 * -e) 3.998E+01 W

5) A given battery has a 13 V emf and an internal resistance of 0.161 &Omega;. If it is connected to a 0.814 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.087E+02 W
 * -b) 1.196E+02 W
 * -c) 1.316E+02 W
 * +d) 1.447E+02 W
 * -e) 1.592E+02 W

6) Two sources of emf &epsilon;1=16.8 V, and  &epsilon;2=6.85 V are oriented as shownin the circuit. The resistances are R1=4.43 k&Omega; and  R2=1.24 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.68 mA and I4=0.758 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 3.890E+00 V
 * -b) 4.279E+00 V
 * -c) 4.707E+00 V
 * +d) 5.178E+00 V
 * -e) 5.695E+00 V

7) Three resistors, R1 = 1.82 &Omega;, and R2 = R2 = 4.14 &Omega;, are connected in parallel to a 5.65 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * +a) 1.754E+01 W
 * -b) 1.929E+01 W
 * -c) 2.122E+01 W
 * -d) 2.335E+01 W
 * -e) 2.568E+01 W

8) The resistances in the figure shown are R1= 2.73 &Omega;, R2= 1.4 &Omega;, and R2= 2.35 &Omega;. V1 and V3 are text 0.549 V and 1.27 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.584 V. What is the absolute value of the current through R1?


 * -a) 1.213E-01 A
 * -b) 1.334E-01 A
 * -c) 1.468E-01 A
 * +d) 1.614E-01 A
 * -e) 1.776E-01 A

9) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=15.7 V are oriented as shownin the circuit. The resistances are R1=2.24 k&Omega; and  R2=2.23 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.01 mA and I4=0.86 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 1.955E+00 mA
 * +b) 2.150E+00 mA
 * -c) 2.365E+00 mA
 * -d) 2.601E+00 mA
 * -e) 2.862E+00 mA

Key: C2
1) Two sources of emf &epsilon;1=34.7 V, and  &epsilon;2=13.9 V are oriented as shownin the circuit. The resistances are R1=3.68 k&Omega; and  R2=1.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.68 mA and I4=0.933 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 9.286E+00 V
 * -b) 1.021E+01 V
 * -c) 1.124E+01 V
 * +d) 1.236E+01 V
 * -e) 1.360E+01 V

2) The resistances in the figure shown are R1= 1.54 &Omega;, R2= 0.927 &Omega;, and R2= 2.46 &Omega;. V1 and V3 are text 0.632 V and 2.12 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.586 V. What is the absolute value of the current through R1?


 * -a) 1.770E-01 A
 * -b) 1.947E-01 A
 * +c) 2.141E-01 A
 * -d) 2.355E-01 A
 * -e) 2.591E-01 A

3) In the circuit shown V=18.8 V, R1=2.59 &Omega;, R2=5.47 &Omega;, and R3=15.8 &Omega;. What is the power dissipated by R2?


 * -a) 2.191E+01 W
 * +b) 2.410E+01 W
 * -c) 2.651E+01 W
 * -d) 2.916E+01 W
 * -e) 3.208E+01 W

4) A battery with a terminal voltage of 9.88 V is connected to a circuit consisting of 3 15.9 &Omega; resistors and one 10.8 &Omega; resistor. What is the voltage drop across the 10.8 &Omega; resistor?


 * -a) 1.370E+00 V
 * -b) 1.507E+00 V
 * -c) 1.658E+00 V
 * +d) 1.824E+00 V
 * -e) 2.006E+00 V

5) Three resistors, R1 = 1.25 &Omega;, and R2 = R2 = 2.82 &Omega;, are connected in parallel to a 8.6 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 4.890E+01 W
 * -b) 5.379E+01 W
 * +c) 5.917E+01 W
 * -d) 6.508E+01 W
 * -e) 7.159E+01 W

6) Two sources of emf &epsilon;1=39.2 V, and  &epsilon;2=12.6 V are oriented as shownin the circuit. The resistances are R1=3.86 k&Omega; and  R2=1.89 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.05 mA and I4=0.701 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 8.687E+00 V
 * -b) 9.555E+00 V
 * -c) 1.051E+01 V
 * -d) 1.156E+01 V
 * +e) 1.272E+01 V

7) Two sources of emf &epsilon;1=43.7 V, and  &epsilon;2=13.1 V are oriented as shownin the circuit. The resistances are R1=5.21 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.86 mA and I4=0.9 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 2.691E+00 mA
 * +b) 2.960E+00 mA
 * -c) 3.256E+00 mA
 * -d) 3.582E+00 mA
 * -e) 3.940E+00 mA

8) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 598 V.  If the combined external and internal resistance is 170 &Omega and the capacitance is  73 mF, how long will it take for the capacitor's voltage to reach 436.0 V?


 * -a) 1.218E+01 s
 * -b) 1.339E+01 s
 * -c) 1.473E+01 s
 * +d) 1.621E+01 s
 * -e) 1.783E+01 s

9) A given battery has a 9 V emf and an internal resistance of 0.141 &Omega;. If it is connected to a 0.663 &Omega; resistor what is the power dissipated by that load?


 * -a) 5.674E+01 W
 * -b) 6.242E+01 W
 * -c) 6.866E+01 W
 * -d) 7.553E+01 W
 * +e) 8.308E+01 W

Key: D0
1) A given battery has a 14 V emf and an internal resistance of 0.0842 &Omega;. If it is connected to a 0.835 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.455E+02 W
 * -b) 1.601E+02 W
 * -c) 1.761E+02 W
 * +d) 1.937E+02 W
 * -e) 2.131E+02 W

2) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 &Omega; resistors and one 12.8 &Omega; resistor. What is the voltage drop across the 12.8 &Omega; resistor?


 * +a) 2.467E+00 V
 * -b) 2.714E+00 V
 * -c) 2.985E+00 V
 * -d) 3.283E+00 V
 * -e) 3.612E+00 V

3) Three resistors, R1 = 1.25 &Omega;, and R2 = R2 = 2.82 &Omega;, are connected in parallel to a 8.6 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 4.890E+01 W
 * -b) 5.379E+01 W
 * +c) 5.917E+01 W
 * -d) 6.508E+01 W
 * -e) 7.159E+01 W

4) In the circuit shown V=10.9 V, R1=1.68 &Omega;, R2=7.52 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * -a) 7.827E+00 W
 * +b) 8.610E+00 W
 * -c) 9.470E+00 W
 * -d) 1.042E+01 W
 * -e) 1.146E+01 W

5) The resistances in the figure shown are R1= 2.74 &Omega;, R2= 1.63 &Omega;, and R2= 2.75 &Omega;. V1 and V3 are text 0.485 V and 2.01 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.555 V. What is the absolute value of the current through R1?


 * -a) 1.114E-01 A
 * +b) 1.225E-01 A
 * -c) 1.348E-01 A
 * -d) 1.483E-01 A
 * -e) 1.631E-01 A

6) Two sources of emf &epsilon;1=29.3 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=5.65 k&Omega; and  R2=2.68 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.81 mA and I4=0.525 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 1.717E+00 mA
 * -b) 1.888E+00 mA
 * -c) 2.077E+00 mA
 * +d) 2.285E+00 mA
 * -e) 2.514E+00 mA

7) Two sources of emf &epsilon;1=38.8 V, and  &epsilon;2=14.9 V are oriented as shownin the circuit. The resistances are R1=5.83 k&Omega; and  R2=1.77 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.57 mA and I4=1.19 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 1.013E+01 V
 * -b) 1.115E+01 V
 * -c) 1.226E+01 V
 * +d) 1.349E+01 V
 * -e) 1.484E+01 V

8) Two sources of emf &epsilon;1=39.4 V, and  &epsilon;2=12.2 V are oriented as shownin the circuit. The resistances are R1=3.84 k&Omega; and  R2=2.01 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.71 mA and I4=0.669 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 8.825E+00 V
 * -b) 9.708E+00 V
 * -c) 1.068E+01 V
 * -d) 1.175E+01 V
 * +e) 1.292E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 351 V.  If the combined external and internal resistance is 148 &Omega and the capacitance is  60 mF, how long will it take for the capacitor's voltage to reach 227.0 V?


 * +a) 9.240E+00 s
 * -b) 1.016E+01 s
 * -c) 1.118E+01 s
 * -d) 1.230E+01 s
 * -e) 1.353E+01 s

Key: D1
1) The resistances in the figure shown are R1= 2.54 &Omega;, R2= 1.15 &Omega;, and R2= 2.9 &Omega;. V1 and V3 are text 0.446 V and 3.39 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.744 V. What is the absolute value of the current through R1?


 * +a) 1.285E-01 A
 * -b) 1.414E-01 A
 * -c) 1.555E-01 A
 * -d) 1.711E-01 A
 * -e) 1.882E-01 A

2) In the circuit shown V=17.9 V, R1=1.3 &Omega;, R2=5.1 &Omega;, and R3=12.1 &Omega;. What is the power dissipated by R2?


 * -a) 2.543E+01 W
 * -b) 2.798E+01 W
 * -c) 3.077E+01 W
 * +d) 3.385E+01 W
 * -e) 3.724E+01 W

3) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 &Omega; resistors and one 10.2 &Omega; resistor. What is the voltage drop across the 10.2 &Omega; resistor?


 * -a) 2.074E+00 V
 * -b) 2.282E+00 V
 * +c) 2.510E+00 V
 * -d) 2.761E+00 V
 * -e) 3.037E+00 V

4) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=12.1 V are oriented as shownin the circuit. The resistances are R1=2.52 k&Omega; and  R2=1.22 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.14 mA and I4=1.19 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 7.805E+00 V
 * -b) 8.586E+00 V
 * -c) 9.444E+00 V
 * -d) 1.039E+01 V
 * +e) 1.143E+01 V

5) A given battery has a 14 V emf and an internal resistance of 0.0842 &Omega;. If it is connected to a 0.835 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.455E+02 W
 * -b) 1.601E+02 W
 * -c) 1.761E+02 W
 * +d) 1.937E+02 W
 * -e) 2.131E+02 W

6) Two sources of emf &epsilon;1=28.6 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=3.73 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.27 mA and I4=0.774 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 6.641E+00 V
 * +b) 7.305E+00 V
 * -c) 8.035E+00 V
 * -d) 8.839E+00 V
 * -e) 9.723E+00 V

7) Two sources of emf &epsilon;1=29.5 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=2.45 k&Omega; and  R2=1.96 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.03 mA and I4=0.783 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 2.247E+00 mA
 * -b) 2.472E+00 mA
 * -c) 2.719E+00 mA
 * -d) 2.991E+00 mA
 * -e) 3.290E+00 mA

8) Three resistors, R1 = 0.906 &Omega;, and R2 = R2 = 2.02 &Omega;, are connected in parallel to a 5.98 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 3.262E+01 W
 * -b) 3.588E+01 W
 * +c) 3.947E+01 W
 * -d) 4.342E+01 W
 * -e) 4.776E+01 W

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 319 V.  If the combined external and internal resistance is 231 &Omega and the capacitance is  64 mF, how long will it take for the capacitor's voltage to reach 175.0 V?


 * -a) 9.718E+00 s
 * -b) 1.069E+01 s
 * +c) 1.176E+01 s
 * -d) 1.293E+01 s
 * -e) 1.423E+01 s

Key: D2
1) Two sources of emf &epsilon;1=13.6 V, and  &epsilon;2=6.53 V are oriented as shownin the circuit. The resistances are R1=2.89 k&Omega; and  R2=2.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.11 mA and I4=0.311 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 7.264E-01 mA
 * +b) 7.990E-01 mA
 * -c) 8.789E-01 mA
 * -d) 9.668E-01 mA
 * -e) 1.063E+00 mA

2) A battery with a terminal voltage of 8.41 V is connected to a circuit consisting of 3 16.1 &Omega; resistors and one 10.9 &Omega; resistor. What is the voltage drop across the 10.9 &Omega; resistor?


 * -a) 1.058E+00 V
 * -b) 1.163E+00 V
 * -c) 1.280E+00 V
 * -d) 1.408E+00 V
 * +e) 1.548E+00 V

3) Three resistors, R1 = 0.624 &Omega;, and R2 = R2 = 1.37 &Omega;, are connected in parallel to a 7.46 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 7.371E+01 W
 * -b) 8.108E+01 W
 * +c) 8.919E+01 W
 * -d) 9.810E+01 W
 * -e) 1.079E+02 W

4) In the circuit shown V=16.2 V, R1=2.84 &Omega;, R2=7.06 &Omega;, and R3=13.1 &Omega;. What is the power dissipated by R2?


 * +a) 1.418E+01 W
 * -b) 1.560E+01 W
 * -c) 1.716E+01 W
 * -d) 1.887E+01 W
 * -e) 2.076E+01 W

5) A given battery has a 14 V emf and an internal resistance of 0.0842 &Omega;. If it is connected to a 0.835 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.455E+02 W
 * -b) 1.601E+02 W
 * -c) 1.761E+02 W
 * +d) 1.937E+02 W
 * -e) 2.131E+02 W

6) Two sources of emf &epsilon;1=40.7 V, and  &epsilon;2=12.3 V are oriented as shownin the circuit. The resistances are R1=3.5 k&Omega; and  R2=1.94 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.42 mA and I4=0.932 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * +a) 1.440E+01 V
 * -b) 1.584E+01 V
 * -c) 1.742E+01 V
 * -d) 1.916E+01 V
 * -e) 2.108E+01 V

7) Two sources of emf &epsilon;1=28.6 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=3.73 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.27 mA and I4=0.774 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 6.641E+00 V
 * +b) 7.305E+00 V
 * -c) 8.035E+00 V
 * -d) 8.839E+00 V
 * -e) 9.723E+00 V

8) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 466 V.  If the combined external and internal resistance is 123 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 331.0 V?


 * -a) 9.571E+00 s
 * -b) 1.053E+01 s
 * +c) 1.158E+01 s
 * -d) 1.274E+01 s
 * -e) 1.401E+01 s

9) The resistances in the figure shown are R1= 1.54 &Omega;, R2= 0.927 &Omega;, and R2= 2.46 &Omega;. V1 and V3 are text 0.632 V and 2.12 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.586 V. What is the absolute value of the current through R1?


 * -a) 1.770E-01 A
 * -b) 1.947E-01 A
 * +c) 2.141E-01 A
 * -d) 2.355E-01 A
 * -e) 2.591E-01 A

Key: E0
1) A given battery has a 15 V emf and an internal resistance of 0.177 &Omega;. If it is connected to a 0.824 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.682E+02 W
 * +b) 1.850E+02 W
 * -c) 2.035E+02 W
 * -d) 2.239E+02 W
 * -e) 2.463E+02 W

2) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 &Omega; resistors and one 9.58 &Omega; resistor. What is the voltage drop across the 9.58 &Omega; resistor?


 * -a) 1.677E+00 V
 * -b) 1.844E+00 V
 * +c) 2.029E+00 V
 * -d) 2.231E+00 V
 * -e) 2.455E+00 V

3) Three resistors, R1 = 1.41 &Omega;, and R2 = R2 = 3.17 &Omega;, are connected in parallel to a 5.89 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.681E+01 W
 * -b) 1.849E+01 W
 * -c) 2.033E+01 W
 * -d) 2.237E+01 W
 * +e) 2.460E+01 W

4) In the circuit shown V=18.4 V, R1=1.64 &Omega;, R2=6.56 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * -a) 2.470E+01 W
 * +b) 2.717E+01 W
 * -c) 2.989E+01 W
 * -d) 3.288E+01 W
 * -e) 3.617E+01 W

5) The resistances in the figure shown are R1= 2.38 &Omega;, R2= 1.87 &Omega;, and R2= 2.32 &Omega;. V1 and V3 are text 0.605 V and 3.8 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.67 V. What is the absolute value of the current through R1?


 * -a) 8.147E-02 A
 * -b) 8.962E-02 A
 * -c) 9.858E-02 A
 * +d) 1.084E-01 A
 * -e) 1.193E-01 A

6) Two sources of emf &epsilon;1=18.2 V, and  &epsilon;2=6.59 V are oriented as shownin the circuit. The resistances are R1=5.47 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.64 mA and I4=0.341 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 1.299E+00 mA
 * -b) 1.429E+00 mA
 * -c) 1.572E+00 mA
 * -d) 1.729E+00 mA
 * -e) 1.902E+00 mA

7) Two sources of emf &epsilon;1=16.8 V, and  &epsilon;2=6.85 V are oriented as shownin the circuit. The resistances are R1=4.43 k&Omega; and  R2=1.24 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.68 mA and I4=0.758 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 3.890E+00 V
 * -b) 4.279E+00 V
 * -c) 4.707E+00 V
 * +d) 5.178E+00 V
 * -e) 5.695E+00 V

8) Two sources of emf &epsilon;1=58.5 V, and  &epsilon;2=17.3 V are oriented as shownin the circuit. The resistances are R1=3.06 k&Omega; and  R2=1.88 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.25 mA and I4=1.25 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 1.981E+01 V
 * +b) 2.179E+01 V
 * -c) 2.397E+01 V
 * -d) 2.637E+01 V
 * -e) 2.901E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 505 V.  If the combined external and internal resistance is 189 &Omega and the capacitance is  74 mF, how long will it take for the capacitor's voltage to reach 374.0 V?


 * -a) 1.560E+01 s
 * -b) 1.716E+01 s
 * +c) 1.887E+01 s
 * -d) 2.076E+01 s
 * -e) 2.284E+01 s

Key: E1
1) A given battery has a 14 V emf and an internal resistance of 0.198 &Omega;. If it is connected to a 0.534 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.776E+02 W
 * +b) 1.953E+02 W
 * -c) 2.149E+02 W
 * -d) 2.364E+02 W
 * -e) 2.600E+02 W

2) Two sources of emf &epsilon;1=46.1 V, and  &epsilon;2=16.2 V are oriented as shownin the circuit. The resistances are R1=5.17 k&Omega; and  R2=2.06 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.97 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 1.309E+01 V
 * -b) 1.440E+01 V
 * +c) 1.584E+01 V
 * -d) 1.742E+01 V
 * -e) 1.917E+01 V

3) The resistances in the figure shown are R1= 2.41 &Omega;, R2= 1.74 &Omega;, and R2= 3.35 &Omega;. V1 and V3 are text 0.508 V and 1.36 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.595 V. What is the absolute value of the current through R1?


 * -a) 1.203E-01 A
 * -b) 1.324E-01 A
 * +c) 1.456E-01 A
 * -d) 1.602E-01 A
 * -e) 1.762E-01 A

4) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.842E+01 W
 * -b) 2.026E+01 W
 * +c) 2.228E+01 W
 * -d) 2.451E+01 W
 * -e) 2.696E+01 W

5) In the circuit shown V=10.8 V, R1=1.26 &Omega;, R2=5.65 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * -a) 8.240E+00 W
 * -b) 9.064E+00 W
 * -c) 9.970E+00 W
 * -d) 1.097E+01 W
 * +e) 1.206E+01 W

6) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 433 V.  If the combined external and internal resistance is 275 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 223.0 V?


 * -a) 1.104E+01 s
 * +b) 1.214E+01 s
 * -c) 1.335E+01 s
 * -d) 1.469E+01 s
 * -e) 1.616E+01 s

7) Two sources of emf &epsilon;1=44.4 V, and  &epsilon;2=16.8 V are oriented as shownin the circuit. The resistances are R1=4.58 k&Omega; and  R2=1.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=8.43 mA and I4=1.46 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 6.970E+00 mA
 * -b) 7.667E+00 mA
 * -c) 8.434E+00 mA
 * -d) 9.277E+00 mA
 * -e) 1.020E+01 mA

8) Two sources of emf &epsilon;1=52.7 V, and  &epsilon;2=17.5 V are oriented as shownin the circuit. The resistances are R1=5.86 k&Omega; and  R2=2.08 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.48 mA and I4=0.988 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * +a) 2.064E+01 V
 * -b) 2.270E+01 V
 * -c) 2.497E+01 V
 * -d) 2.747E+01 V
 * -e) 3.021E+01 V

9) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 2 15.9 &Omega; resistors and one 10.4 &Omega; resistor. What is the voltage drop across the 10.4 &Omega; resistor?


 * -a) 1.709E+00 V
 * +b) 1.880E+00 V
 * -c) 2.068E+00 V
 * -d) 2.275E+00 V
 * -e) 2.503E+00 V

Key: E2
1) Two sources of emf &epsilon;1=24.4 V, and  &epsilon;2=6.73 V are oriented as shownin the circuit. The resistances are R1=5.7 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.36 mA and I4=0.418 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 5.418E+00 V
 * -b) 5.960E+00 V
 * -c) 6.556E+00 V
 * -d) 7.212E+00 V
 * +e) 7.933E+00 V

2) Three resistors, R1 = 1.39 &Omega;, and R2 = R2 = 3.06 &Omega;, are connected in parallel to a 6.21 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 2.293E+01 W
 * -b) 2.522E+01 W
 * +c) 2.774E+01 W
 * -d) 3.052E+01 W
 * -e) 3.357E+01 W

3) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 505 V.  If the combined external and internal resistance is 189 &Omega and the capacitance is  74 mF, how long will it take for the capacitor's voltage to reach 374.0 V?


 * -a) 1.560E+01 s
 * -b) 1.716E+01 s
 * +c) 1.887E+01 s
 * -d) 2.076E+01 s
 * -e) 2.284E+01 s

4) In the circuit shown V=15.8 V, R1=1.86 &Omega;, R2=7.66 &Omega;, and R3=12.9 &Omega;. What is the power dissipated by R2?


 * -a) 1.157E+01 W
 * -b) 1.273E+01 W
 * -c) 1.400E+01 W
 * -d) 1.540E+01 W
 * +e) 1.694E+01 W

5) Two sources of emf &epsilon;1=29.3 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=5.65 k&Omega; and  R2=2.68 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.81 mA and I4=0.525 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 1.717E+00 mA
 * -b) 1.888E+00 mA
 * -c) 2.077E+00 mA
 * +d) 2.285E+00 mA
 * -e) 2.514E+00 mA

6) The resistances in the figure shown are R1= 1.81 &Omega;, R2= 1.18 &Omega;, and R2= 2.62 &Omega;. V1 and V3 are text 0.628 V and 2.54 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.748 V. What is the absolute value of the current through R1?


 * -a) 1.552E-01 A
 * -b) 1.707E-01 A
 * -c) 1.878E-01 A
 * -d) 2.065E-01 A
 * +e) 2.272E-01 A

7) A given battery has a 14 V emf and an internal resistance of 0.198 &Omega;. If it is connected to a 0.534 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.776E+02 W
 * +b) 1.953E+02 W
 * -c) 2.149E+02 W
 * -d) 2.364E+02 W
 * -e) 2.600E+02 W

8) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=16.9 V are oriented as shownin the circuit. The resistances are R1=3.3 k&Omega; and  R2=2.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.34 mA and I4=0.955 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 7.031E+00 V
 * +b) 7.734E+00 V
 * -c) 8.507E+00 V
 * -d) 9.358E+00 V
 * -e) 1.029E+01 V

9) A battery with a terminal voltage of 8.66 V is connected to a circuit consisting of 3 19.6 &Omega; resistors and one 10.6 &Omega; resistor. What is the voltage drop across the 10.6 &Omega; resistor?


 * -a) 1.202E+00 V
 * +b) 1.323E+00 V
 * -c) 1.455E+00 V
 * -d) 1.600E+00 V
 * -e) 1.761E+00 V

Key: F0
1) A given battery has a 15 V emf and an internal resistance of 0.162 &Omega;. If it is connected to a 0.561 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.814E+02 W
 * -b) 1.996E+02 W
 * -c) 2.195E+02 W
 * +d) 2.415E+02 W
 * -e) 2.656E+02 W

2) A battery with a terminal voltage of 7.82 V is connected to a circuit consisting of 2 19.3 &Omega; resistors and one 12.2 &Omega; resistor. What is the voltage drop across the 12.2 &Omega; resistor?


 * -a) 1.552E+00 V
 * -b) 1.707E+00 V
 * +c) 1.878E+00 V
 * -d) 2.066E+00 V
 * -e) 2.272E+00 V

3) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.842E+01 W
 * -b) 2.026E+01 W
 * +c) 2.228E+01 W
 * -d) 2.451E+01 W
 * -e) 2.696E+01 W

4) In the circuit shown V=18.8 V, R1=2.59 &Omega;, R2=5.47 &Omega;, and R3=15.8 &Omega;. What is the power dissipated by R2?


 * -a) 2.191E+01 W
 * +b) 2.410E+01 W
 * -c) 2.651E+01 W
 * -d) 2.916E+01 W
 * -e) 3.208E+01 W

5) The resistances in the figure shown are R1= 2.24 &Omega;, R2= 1.03 &Omega;, and R2= 2.39 &Omega;. V1 and V3 are text 0.595 V and 2.58 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.707 V. What is the absolute value of the current through R1?


 * -a) 1.834E-01 A
 * +b) 2.018E-01 A
 * -c) 2.220E-01 A
 * -d) 2.441E-01 A
 * -e) 2.686E-01 A

6) Two sources of emf &epsilon;1=49.6 V, and  &epsilon;2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 3.055E+00 mA
 * +b) 3.360E+00 mA
 * -c) 3.696E+00 mA
 * -d) 4.066E+00 mA
 * -e) 4.472E+00 mA

7) Two sources of emf &epsilon;1=16.8 V, and  &epsilon;2=7.15 V are oriented as shownin the circuit. The resistances are R1=3.12 k&Omega; and  R2=1.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.95 mA and I4=0.603 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 4.108E+00 V
 * +b) 4.519E+00 V
 * -c) 4.970E+00 V
 * -d) 5.468E+00 V
 * -e) 6.014E+00 V

8) Two sources of emf &epsilon;1=40.9 V, and  &epsilon;2=16.1 V are oriented as shownin the circuit. The resistances are R1=5.55 k&Omega; and  R2=1.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=6.11 mA and I4=1.06 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 8.754E+00 V
 * -b) 9.630E+00 V
 * -c) 1.059E+01 V
 * -d) 1.165E+01 V
 * +e) 1.282E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 213 V.  If the combined external and internal resistance is 118 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 142.0 V?


 * -a) 5.401E+00 s
 * -b) 5.941E+00 s
 * -c) 6.535E+00 s
 * -d) 7.189E+00 s
 * +e) 7.908E+00 s

Key: F1
1) Three resistors, R1 = 1.43 &Omega;, and R2 = R2 = 3.25 &Omega;, are connected in parallel to a 9.03 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 5.184E+01 W
 * +b) 5.702E+01 W
 * -c) 6.272E+01 W
 * -d) 6.900E+01 W
 * -e) 7.590E+01 W

2) Two sources of emf &epsilon;1=20.6 V, and  &epsilon;2=9.53 V are oriented as shownin the circuit. The resistances are R1=5.46 k&Omega; and  R2=2.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.5 mA and I4=0.415 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 1.085E+00 mA
 * -b) 1.194E+00 mA
 * -c) 1.313E+00 mA
 * -d) 1.444E+00 mA
 * -e) 1.589E+00 mA

3) Two sources of emf &epsilon;1=67.2 V, and  &epsilon;2=18.7 V are oriented as shownin the circuit. The resistances are R1=3.45 k&Omega; and  R2=1.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=9.49 mA and I4=1.81 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 1.906E+01 V
 * +b) 2.097E+01 V
 * -c) 2.306E+01 V
 * -d) 2.537E+01 V
 * -e) 2.790E+01 V

4) The resistances in the figure shown are R1= 2.24 &Omega;, R2= 1.03 &Omega;, and R2= 2.39 &Omega;. V1 and V3 are text 0.595 V and 2.58 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.707 V. What is the absolute value of the current through R1?


 * -a) 1.834E-01 A
 * +b) 2.018E-01 A
 * -c) 2.220E-01 A
 * -d) 2.441E-01 A
 * -e) 2.686E-01 A

5) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=11.5 V are oriented as shownin the circuit. The resistances are R1=2.13 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.11 mA and I4=0.746 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 4.275E+00 V
 * -b) 4.703E+00 V
 * +c) 5.173E+00 V
 * -d) 5.691E+00 V
 * -e) 6.260E+00 V

6) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 &Omega; resistors and one 10.2 &Omega; resistor. What is the voltage drop across the 10.2 &Omega; resistor?


 * -a) 2.074E+00 V
 * -b) 2.282E+00 V
 * +c) 2.510E+00 V
 * -d) 2.761E+00 V
 * -e) 3.037E+00 V

7) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 130 V.  If the combined external and internal resistance is 109 &Omega and the capacitance is  59 mF, how long will it take for the capacitor's voltage to reach 69.9 V?


 * -a) 3.728E+00 s
 * -b) 4.101E+00 s
 * -c) 4.511E+00 s
 * +d) 4.962E+00 s
 * -e) 5.458E+00 s

8) In the circuit shown V=11.9 V, R1=2.75 &Omega;, R2=7.19 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * +a) 7.982E+00 W
 * -b) 8.780E+00 W
 * -c) 9.658E+00 W
 * -d) 1.062E+01 W
 * -e) 1.169E+01 W

9) A given battery has a 14 V emf and an internal resistance of 0.0842 &Omega;. If it is connected to a 0.835 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.455E+02 W
 * -b) 1.601E+02 W
 * -c) 1.761E+02 W
 * +d) 1.937E+02 W
 * -e) 2.131E+02 W

Key: F2
1) A battery with a terminal voltage of 12.4 V is connected to a circuit consisting of 3 21.6 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * -a) 1.333E+00 V
 * -b) 1.466E+00 V
 * -c) 1.612E+00 V
 * -d) 1.774E+00 V
 * +e) 1.951E+00 V

2) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 129 V.  If the combined external and internal resistance is 169 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 109.0 V?


 * -a) 2.177E+01 s
 * +b) 2.394E+01 s
 * -c) 2.634E+01 s
 * -d) 2.897E+01 s
 * -e) 3.187E+01 s

3) A given battery has a 10 V emf and an internal resistance of 0.119 &Omega;. If it is connected to a 0.445 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.272E+02 W
 * +b) 1.399E+02 W
 * -c) 1.539E+02 W
 * -d) 1.693E+02 W
 * -e) 1.862E+02 W

4) The resistances in the figure shown are R1= 2.67 &Omega;, R2= 1.78 &Omega;, and R2= 3.63 &Omega;. V1 and V3 are text 0.448 V and 2.29 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.656 V. What is the absolute value of the current through R1?


 * -a) 9.287E-02 A
 * -b) 1.022E-01 A
 * -c) 1.124E-01 A
 * +d) 1.236E-01 A
 * -e) 1.360E-01 A

5) Two sources of emf &epsilon;1=44.4 V, and  &epsilon;2=16.8 V are oriented as shownin the circuit. The resistances are R1=4.58 k&Omega; and  R2=1.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=8.43 mA and I4=1.46 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 6.970E+00 mA
 * -b) 7.667E+00 mA
 * -c) 8.434E+00 mA
 * -d) 9.277E+00 mA
 * -e) 1.020E+01 mA

6) Two sources of emf &epsilon;1=46.1 V, and  &epsilon;2=16.2 V are oriented as shownin the circuit. The resistances are R1=5.17 k&Omega; and  R2=2.06 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.97 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 1.309E+01 V
 * -b) 1.440E+01 V
 * +c) 1.584E+01 V
 * -d) 1.742E+01 V
 * -e) 1.917E+01 V

7) Three resistors, R1 = 0.906 &Omega;, and R2 = R2 = 2.02 &Omega;, are connected in parallel to a 5.98 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 3.262E+01 W
 * -b) 3.588E+01 W
 * +c) 3.947E+01 W
 * -d) 4.342E+01 W
 * -e) 4.776E+01 W

8) In the circuit shown V=15.2 V, R1=1.6 &Omega;, R2=7.89 &Omega;, and R3=15.3 &Omega;. What is the power dissipated by R2?


 * +a) 1.713E+01 W
 * -b) 1.885E+01 W
 * -c) 2.073E+01 W
 * -d) 2.280E+01 W
 * -e) 2.508E+01 W

9) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=11.5 V are oriented as shownin the circuit. The resistances are R1=2.13 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.11 mA and I4=0.746 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 4.275E+00 V
 * -b) 4.703E+00 V
 * +c) 5.173E+00 V
 * -d) 5.691E+00 V
 * -e) 6.260E+00 V

Key: G0
1) A given battery has a 12 V emf and an internal resistance of 0.0984 &Omega;. If it is connected to a 0.485 &Omega; resistor what is the power dissipated by that load?


 * +a) 2.052E+02 W
 * -b) 2.257E+02 W
 * -c) 2.483E+02 W
 * -d) 2.731E+02 W
 * -e) 3.004E+02 W

2) A battery with a terminal voltage of 8.66 V is connected to a circuit consisting of 3 19.6 &Omega; resistors and one 10.6 &Omega; resistor. What is the voltage drop across the 10.6 &Omega; resistor?


 * -a) 1.202E+00 V
 * +b) 1.323E+00 V
 * -c) 1.455E+00 V
 * -d) 1.600E+00 V
 * -e) 1.761E+00 V

3) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.842E+01 W
 * -b) 2.026E+01 W
 * +c) 2.228E+01 W
 * -d) 2.451E+01 W
 * -e) 2.696E+01 W

4) In the circuit shown V=17.8 V, R1=2.27 &Omega;, R2=6.79 &Omega;, and R3=15.1 &Omega;. What is the power dissipated by R2?


 * -a) 1.446E+01 W
 * -b) 1.591E+01 W
 * -c) 1.750E+01 W
 * -d) 1.925E+01 W
 * +e) 2.117E+01 W

5) The resistances in the figure shown are R1= 2.04 &Omega;, R2= 1.19 &Omega;, and R2= 2.5 &Omega;. V1 and V3 are text 0.507 V and 3.07 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.602 V. What is the absolute value of the current through R1?


 * +a) 1.401E-01 A
 * -b) 1.542E-01 A
 * -c) 1.696E-01 A
 * -d) 1.865E-01 A
 * -e) 2.052E-01 A

6) Two sources of emf &epsilon;1=49.6 V, and  &epsilon;2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 3.055E+00 mA
 * +b) 3.360E+00 mA
 * -c) 3.696E+00 mA
 * -d) 4.066E+00 mA
 * -e) 4.472E+00 mA

7) Two sources of emf &epsilon;1=21.0 V, and  &epsilon;2=8.72 V are oriented as shownin the circuit. The resistances are R1=3.12 k&Omega; and  R2=1.15 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.41 mA and I4=0.816 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * +a) 5.267E+00 V
 * -b) 5.794E+00 V
 * -c) 6.373E+00 V
 * -d) 7.011E+00 V
 * -e) 7.712E+00 V

8) Two sources of emf &epsilon;1=39.4 V, and  &epsilon;2=12.2 V are oriented as shownin the circuit. The resistances are R1=3.84 k&Omega; and  R2=2.01 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.71 mA and I4=0.669 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 8.825E+00 V
 * -b) 9.708E+00 V
 * -c) 1.068E+01 V
 * -d) 1.175E+01 V
 * +e) 1.292E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 213 V.  If the combined external and internal resistance is 118 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 142.0 V?


 * -a) 5.401E+00 s
 * -b) 5.941E+00 s
 * -c) 6.535E+00 s
 * -d) 7.189E+00 s
 * +e) 7.908E+00 s

Key: G1
1) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=15.7 V are oriented as shownin the circuit. The resistances are R1=2.24 k&Omega; and  R2=2.23 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.01 mA and I4=0.86 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 1.955E+00 mA
 * +b) 2.150E+00 mA
 * -c) 2.365E+00 mA
 * -d) 2.601E+00 mA
 * -e) 2.862E+00 mA

2) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 190 V.  If the combined external and internal resistance is 255 &Omega and the capacitance is  54 mF, how long will it take for the capacitor's voltage to reach 101.0 V?


 * +a) 1.044E+01 s
 * -b) 1.149E+01 s
 * -c) 1.264E+01 s
 * -d) 1.390E+01 s
 * -e) 1.529E+01 s

3) The resistances in the figure shown are R1= 1.18 &Omega;, R2= 0.878 &Omega;, and R2= 2.11 &Omega;. V1 and V3 are text 0.637 V and 3.51 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.547 V. What is the absolute value of the current through R1?


 * -a) 1.701E-01 A
 * +b) 1.871E-01 A
 * -c) 2.058E-01 A
 * -d) 2.264E-01 A
 * -e) 2.490E-01 A

4) Three resistors, R1 = 0.87 &Omega;, and R2 = R2 = 2.0 &Omega;, are connected in parallel to a 8.57 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 6.977E+01 W
 * -b) 7.674E+01 W
 * +c) 8.442E+01 W
 * -d) 9.286E+01 W
 * -e) 1.021E+02 W

5) In the circuit shown V=16.1 V, R1=1.18 &Omega;, R2=5.28 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * -a) 2.172E+01 W
 * -b) 2.389E+01 W
 * -c) 2.628E+01 W
 * +d) 2.891E+01 W
 * -e) 3.180E+01 W

6) Two sources of emf &epsilon;1=49.8 V, and  &epsilon;2=18.1 V are oriented as shownin the circuit. The resistances are R1=2.78 k&Omega; and  R2=2.63 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.51 mA and I4=0.969 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 7.886E+00 V
 * -b) 8.675E+00 V
 * -c) 9.542E+00 V
 * -d) 1.050E+01 V
 * +e) 1.155E+01 V

7) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=12.1 V are oriented as shownin the circuit. The resistances are R1=2.52 k&Omega; and  R2=1.22 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.14 mA and I4=1.19 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 7.805E+00 V
 * -b) 8.586E+00 V
 * -c) 9.444E+00 V
 * -d) 1.039E+01 V
 * +e) 1.143E+01 V

8) A battery with a terminal voltage of 14.6 V is connected to a circuit consisting of 2 21.7 &Omega; resistors and one 14.4 &Omega; resistor. What is the voltage drop across the 14.4 &Omega; resistor?


 * +a) 3.637E+00 V
 * -b) 4.001E+00 V
 * -c) 4.401E+00 V
 * -d) 4.841E+00 V
 * -e) 5.325E+00 V

9) A given battery has a 13 V emf and an internal resistance of 0.106 &Omega;. If it is connected to a 0.752 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.569E+02 W
 * +b) 1.726E+02 W
 * -c) 1.899E+02 W
 * -d) 2.089E+02 W
 * -e) 2.298E+02 W

Key: G2
1) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.842E+01 W
 * -b) 2.026E+01 W
 * +c) 2.228E+01 W
 * -d) 2.451E+01 W
 * -e) 2.696E+01 W

2) Two sources of emf &epsilon;1=18.6 V, and  &epsilon;2=5.63 V are oriented as shownin the circuit. The resistances are R1=3.9 k&Omega; and  R2=1.1 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.41 mA and I4=0.614 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 4.342E+00 V
 * -b) 4.776E+00 V
 * -c) 5.254E+00 V
 * +d) 5.779E+00 V
 * -e) 6.357E+00 V

3) A given battery has a 14 V emf and an internal resistance of 0.192 &Omega;. If it is connected to a 0.766 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.229E+02 W
 * -b) 1.352E+02 W
 * -c) 1.487E+02 W
 * +d) 1.636E+02 W
 * -e) 1.799E+02 W

4) In the circuit shown V=17.8 V, R1=2.27 &Omega;, R2=6.79 &Omega;, and R3=15.1 &Omega;. What is the power dissipated by R2?


 * -a) 1.446E+01 W
 * -b) 1.591E+01 W
 * -c) 1.750E+01 W
 * -d) 1.925E+01 W
 * +e) 2.117E+01 W

5) The resistances in the figure shown are R1= 1.18 &Omega;, R2= 0.878 &Omega;, and R2= 2.11 &Omega;. V1 and V3 are text 0.637 V and 3.51 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.547 V. What is the absolute value of the current through R1?


 * -a) 1.701E-01 A
 * +b) 1.871E-01 A
 * -c) 2.058E-01 A
 * -d) 2.264E-01 A
 * -e) 2.490E-01 A

6) A battery with a terminal voltage of 8.14 V is connected to a circuit consisting of 2 21.5 &Omega; resistors and one 13.1 &Omega; resistor. What is the voltage drop across the 13.1 &Omega; resistor?


 * -a) 1.298E+00 V
 * -b) 1.428E+00 V
 * -c) 1.571E+00 V
 * -d) 1.728E+00 V
 * +e) 1.901E+00 V

7) Two sources of emf &epsilon;1=28.6 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=3.73 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.27 mA and I4=0.774 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 6.641E+00 V
 * +b) 7.305E+00 V
 * -c) 8.035E+00 V
 * -d) 8.839E+00 V
 * -e) 9.723E+00 V

8) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 466 V.  If the combined external and internal resistance is 123 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 331.0 V?


 * -a) 9.571E+00 s
 * -b) 1.053E+01 s
 * +c) 1.158E+01 s
 * -d) 1.274E+01 s
 * -e) 1.401E+01 s

9) Two sources of emf &epsilon;1=31.0 V, and  &epsilon;2=10.0 V are oriented as shownin the circuit. The resistances are R1=4.22 k&Omega; and  R2=1.37 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.32 mA and I4=1.03 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 2.290E+00 mA
 * -b) 2.519E+00 mA
 * -c) 2.771E+00 mA
 * -d) 3.048E+00 mA
 * -e) 3.353E+00 mA

Key: H0
1) A given battery has a 14 V emf and an internal resistance of 0.198 &Omega;. If it is connected to a 0.534 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.776E+02 W
 * +b) 1.953E+02 W
 * -c) 2.149E+02 W
 * -d) 2.364E+02 W
 * -e) 2.600E+02 W

2) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 &Omega; resistors and one 12.8 &Omega; resistor. What is the voltage drop across the 12.8 &Omega; resistor?


 * +a) 2.467E+00 V
 * -b) 2.714E+00 V
 * -c) 2.985E+00 V
 * -d) 3.283E+00 V
 * -e) 3.612E+00 V

3) Three resistors, R1 = 1.25 &Omega;, and R2 = R2 = 2.82 &Omega;, are connected in parallel to a 8.6 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 4.890E+01 W
 * -b) 5.379E+01 W
 * +c) 5.917E+01 W
 * -d) 6.508E+01 W
 * -e) 7.159E+01 W

4) In the circuit shown V=16.1 V, R1=1.18 &Omega;, R2=5.28 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * -a) 2.172E+01 W
 * -b) 2.389E+01 W
 * -c) 2.628E+01 W
 * +d) 2.891E+01 W
 * -e) 3.180E+01 W

5) The resistances in the figure shown are R1= 2.38 &Omega;, R2= 1.87 &Omega;, and R2= 2.32 &Omega;. V1 and V3 are text 0.605 V and 3.8 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.67 V. What is the absolute value of the current through R1?


 * -a) 8.147E-02 A
 * -b) 8.962E-02 A
 * -c) 9.858E-02 A
 * +d) 1.084E-01 A
 * -e) 1.193E-01 A

6) Two sources of emf &epsilon;1=36.3 V, and  &epsilon;2=12.9 V are oriented as shownin the circuit. The resistances are R1=4.28 k&Omega; and  R2=1.58 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.16 mA and I4=1.2 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 2.224E+00 mA
 * -b) 2.446E+00 mA
 * -c) 2.691E+00 mA
 * +d) 2.960E+00 mA
 * -e) 3.256E+00 mA

7) Two sources of emf &epsilon;1=21.0 V, and  &epsilon;2=8.72 V are oriented as shownin the circuit. The resistances are R1=3.12 k&Omega; and  R2=1.15 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.41 mA and I4=0.816 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * +a) 5.267E+00 V
 * -b) 5.794E+00 V
 * -c) 6.373E+00 V
 * -d) 7.011E+00 V
 * -e) 7.712E+00 V

8) Two sources of emf &epsilon;1=21.6 V, and  &epsilon;2=8.59 V are oriented as shownin the circuit. The resistances are R1=4.97 k&Omega; and  R2=1.69 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.2 mA and I4=0.749 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 6.064E+00 V
 * -b) 6.670E+00 V
 * +c) 7.337E+00 V
 * -d) 8.071E+00 V
 * -e) 8.878E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 505 V.  If the combined external and internal resistance is 189 &Omega and the capacitance is  74 mF, how long will it take for the capacitor's voltage to reach 374.0 V?


 * -a) 1.560E+01 s
 * -b) 1.716E+01 s
 * +c) 1.887E+01 s
 * -d) 2.076E+01 s
 * -e) 2.284E+01 s

Key: H1
1) The resistances in the figure shown are R1= 2.73 &Omega;, R2= 1.4 &Omega;, and R2= 2.35 &Omega;. V1 and V3 are text 0.549 V and 1.27 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.584 V. What is the absolute value of the current through R1?


 * -a) 1.213E-01 A
 * -b) 1.334E-01 A
 * -c) 1.468E-01 A
 * +d) 1.614E-01 A
 * -e) 1.776E-01 A

2) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 130 V.  If the combined external and internal resistance is 109 &Omega and the capacitance is  59 mF, how long will it take for the capacitor's voltage to reach 69.9 V?


 * -a) 3.728E+00 s
 * -b) 4.101E+00 s
 * -c) 4.511E+00 s
 * +d) 4.962E+00 s
 * -e) 5.458E+00 s

3) A given battery has a 15 V emf and an internal resistance of 0.113 &Omega;. If it is connected to a 0.645 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.898E+02 W
 * -b) 2.087E+02 W
 * -c) 2.296E+02 W
 * +d) 2.526E+02 W
 * -e) 2.778E+02 W

4) Three resistors, R1 = 1.31 &Omega;, and R2 = R2 = 2.91 &Omega;, are connected in parallel to a 6.03 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 2.294E+01 W
 * -b) 2.523E+01 W
 * +c) 2.776E+01 W
 * -d) 3.053E+01 W
 * -e) 3.359E+01 W

5) In the circuit shown V=15.2 V, R1=1.6 &Omega;, R2=7.89 &Omega;, and R3=15.3 &Omega;. What is the power dissipated by R2?


 * +a) 1.713E+01 W
 * -b) 1.885E+01 W
 * -c) 2.073E+01 W
 * -d) 2.280E+01 W
 * -e) 2.508E+01 W

6) Two sources of emf &epsilon;1=43.7 V, and  &epsilon;2=13.1 V are oriented as shownin the circuit. The resistances are R1=5.21 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.86 mA and I4=0.9 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 2.691E+00 mA
 * +b) 2.960E+00 mA
 * -c) 3.256E+00 mA
 * -d) 3.582E+00 mA
 * -e) 3.940E+00 mA

7) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 &Omega; resistors and one 9.58 &Omega; resistor. What is the voltage drop across the 9.58 &Omega; resistor?


 * -a) 1.677E+00 V
 * -b) 1.844E+00 V
 * +c) 2.029E+00 V
 * -d) 2.231E+00 V
 * -e) 2.455E+00 V

8) Two sources of emf &epsilon;1=57.0 V, and  &epsilon;2=18.1 V are oriented as shownin the circuit. The resistances are R1=4.95 k&Omega; and  R2=2.09 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.23 mA and I4=1.04 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 1.921E+01 V
 * +b) 2.114E+01 V
 * -c) 2.325E+01 V
 * -d) 2.557E+01 V
 * -e) 2.813E+01 V

9) Two sources of emf &epsilon;1=14.3 V, and  &epsilon;2=5.6 V are oriented as shownin the circuit. The resistances are R1=5.31 k&Omega; and  R2=2.39 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.12 mA and I4=0.284 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 3.416E+00 V
 * -b) 3.757E+00 V
 * -c) 4.133E+00 V
 * +d) 4.546E+00 V
 * -e) 5.001E+00 V

Key: H2
1) A given battery has a 11 V emf and an internal resistance of 0.0998 &Omega;. If it is connected to a 0.417 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.419E+02 W
 * -b) 1.561E+02 W
 * -c) 1.717E+02 W
 * +d) 1.889E+02 W
 * -e) 2.078E+02 W

2) Three resistors, R1 = 1.23 &Omega;, and R2 = R2 = 2.73 &Omega;, are connected in parallel to a 5.41 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.788E+01 W
 * -b) 1.967E+01 W
 * -c) 2.163E+01 W
 * +d) 2.380E+01 W
 * -e) 2.617E+01 W

3) Two sources of emf &epsilon;1=27.9 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=2.82 k&Omega; and  R2=2.25 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.1 mA and I4=0.676 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 8.334E+00 V
 * -b) 9.167E+00 V
 * +c) 1.008E+01 V
 * -d) 1.109E+01 V
 * -e) 1.220E+01 V

4) The resistances in the figure shown are R1= 2.73 &Omega;, R2= 1.4 &Omega;, and R2= 2.35 &Omega;. V1 and V3 are text 0.549 V and 1.27 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.584 V. What is the absolute value of the current through R1?


 * -a) 1.213E-01 A
 * -b) 1.334E-01 A
 * -c) 1.468E-01 A
 * +d) 1.614E-01 A
 * -e) 1.776E-01 A

5) A battery with a terminal voltage of 14.9 V is connected to a circuit consisting of 2 16.3 &Omega; resistors and one 9.8 &Omega; resistor. What is the voltage drop across the 9.8 &Omega; resistor?


 * -a) 2.352E+00 V
 * -b) 2.587E+00 V
 * -c) 2.846E+00 V
 * -d) 3.131E+00 V
 * +e) 3.444E+00 V

6) In the circuit shown V=19.6 V, R1=1.45 &Omega;, R2=7.85 &Omega;, and R3=15.8 &Omega;. What is the power dissipated by R2?


 * -a) 2.730E+01 W
 * +b) 3.003E+01 W
 * -c) 3.304E+01 W
 * -d) 3.634E+01 W
 * -e) 3.998E+01 W

7) Two sources of emf &epsilon;1=36.3 V, and  &epsilon;2=12.9 V are oriented as shownin the circuit. The resistances are R1=4.28 k&Omega; and  R2=1.58 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.16 mA and I4=1.2 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 2.224E+00 mA
 * -b) 2.446E+00 mA
 * -c) 2.691E+00 mA
 * +d) 2.960E+00 mA
 * -e) 3.256E+00 mA

8) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 129 V.  If the combined external and internal resistance is 169 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 109.0 V?


 * -a) 2.177E+01 s
 * +b) 2.394E+01 s
 * -c) 2.634E+01 s
 * -d) 2.897E+01 s
 * -e) 3.187E+01 s

9) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=8.29 V are oriented as shownin the circuit. The resistances are R1=3.43 k&Omega; and  R2=1.16 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.09 mA and I4=1.06 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 6.720E+00 V
 * -b) 7.392E+00 V
 * -c) 8.131E+00 V
 * -d) 8.944E+00 V
 * +e) 9.838E+00 V

Key: I0
1) A given battery has a 9 V emf and an internal resistance of 0.141 &Omega;. If it is connected to a 0.663 &Omega; resistor what is the power dissipated by that load?


 * -a) 5.674E+01 W
 * -b) 6.242E+01 W
 * -c) 6.866E+01 W
 * -d) 7.553E+01 W
 * +e) 8.308E+01 W

2) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 &Omega; resistors and one 9.58 &Omega; resistor. What is the voltage drop across the 9.58 &Omega; resistor?


 * -a) 1.677E+00 V
 * -b) 1.844E+00 V
 * +c) 2.029E+00 V
 * -d) 2.231E+00 V
 * -e) 2.455E+00 V

3) Three resistors, R1 = 1.41 &Omega;, and R2 = R2 = 3.17 &Omega;, are connected in parallel to a 5.89 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.681E+01 W
 * -b) 1.849E+01 W
 * -c) 2.033E+01 W
 * -d) 2.237E+01 W
 * +e) 2.460E+01 W

4) In the circuit shown V=15.8 V, R1=1.86 &Omega;, R2=7.66 &Omega;, and R3=12.9 &Omega;. What is the power dissipated by R2?


 * -a) 1.157E+01 W
 * -b) 1.273E+01 W
 * -c) 1.400E+01 W
 * -d) 1.540E+01 W
 * +e) 1.694E+01 W

5) The resistances in the figure shown are R1= 2.41 &Omega;, R2= 1.74 &Omega;, and R2= 3.35 &Omega;. V1 and V3 are text 0.508 V and 1.36 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.595 V. What is the absolute value of the current through R1?


 * -a) 1.203E-01 A
 * -b) 1.324E-01 A
 * +c) 1.456E-01 A
 * -d) 1.602E-01 A
 * -e) 1.762E-01 A

6) Two sources of emf &epsilon;1=20.6 V, and  &epsilon;2=9.53 V are oriented as shownin the circuit. The resistances are R1=5.46 k&Omega; and  R2=2.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.5 mA and I4=0.415 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 1.085E+00 mA
 * -b) 1.194E+00 mA
 * -c) 1.313E+00 mA
 * -d) 1.444E+00 mA
 * -e) 1.589E+00 mA

7) Two sources of emf &epsilon;1=35.5 V, and  &epsilon;2=12.3 V are oriented as shownin the circuit. The resistances are R1=4.49 k&Omega; and  R2=1.53 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.63 mA and I4=0.972 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 1.093E+01 V
 * +b) 1.202E+01 V
 * -c) 1.322E+01 V
 * -d) 1.454E+01 V
 * -e) 1.600E+01 V

8) Two sources of emf &epsilon;1=17.3 V, and  &epsilon;2=6.46 V are oriented as shownin the circuit. The resistances are R1=2.54 k&Omega; and  R2=2.79 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.1 mA and I4=0.281 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 6.488E+00 V
 * +b) 7.137E+00 V
 * -c) 7.850E+00 V
 * -d) 8.635E+00 V
 * -e) 9.499E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 439 V.  If the combined external and internal resistance is 221 &Omega and the capacitance is  54 mF, how long will it take for the capacitor's voltage to reach 350.0 V?


 * +a) 1.905E+01 s
 * -b) 2.095E+01 s
 * -c) 2.304E+01 s
 * -d) 2.535E+01 s
 * -e) 2.788E+01 s

Key: I1
1) A given battery has a 9 V emf and an internal resistance of 0.141 &Omega;. If it is connected to a 0.663 &Omega; resistor what is the power dissipated by that load?


 * -a) 5.674E+01 W
 * -b) 6.242E+01 W
 * -c) 6.866E+01 W
 * -d) 7.553E+01 W
 * +e) 8.308E+01 W

2) Two sources of emf &epsilon;1=18.6 V, and  &epsilon;2=5.63 V are oriented as shownin the circuit. The resistances are R1=3.9 k&Omega; and  R2=1.1 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.41 mA and I4=0.614 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 4.342E+00 V
 * -b) 4.776E+00 V
 * -c) 5.254E+00 V
 * +d) 5.779E+00 V
 * -e) 6.357E+00 V

3) In the circuit shown V=11.8 V, R1=2.38 &Omega;, R2=5.11 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * -a) 8.489E+00 W
 * -b) 9.338E+00 W
 * +c) 1.027E+01 W
 * -d) 1.130E+01 W
 * -e) 1.243E+01 W

4) Three resistors, R1 = 1.41 &Omega;, and R2 = R2 = 3.17 &Omega;, are connected in parallel to a 5.89 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.681E+01 W
 * -b) 1.849E+01 W
 * -c) 2.033E+01 W
 * -d) 2.237E+01 W
 * +e) 2.460E+01 W

5) Two sources of emf &epsilon;1=21.0 V, and  &epsilon;2=8.72 V are oriented as shownin the circuit. The resistances are R1=3.12 k&Omega; and  R2=1.15 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.41 mA and I4=0.816 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * +a) 5.267E+00 V
 * -b) 5.794E+00 V
 * -c) 6.373E+00 V
 * -d) 7.011E+00 V
 * -e) 7.712E+00 V

6) The resistances in the figure shown are R1= 2.04 &Omega;, R2= 1.19 &Omega;, and R2= 2.5 &Omega;. V1 and V3 are text 0.507 V and 3.07 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.602 V. What is the absolute value of the current through R1?


 * +a) 1.401E-01 A
 * -b) 1.542E-01 A
 * -c) 1.696E-01 A
 * -d) 1.865E-01 A
 * -e) 2.052E-01 A

7) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 554 V.  If the combined external and internal resistance is 228 &Omega and the capacitance is  93 mF, how long will it take for the capacitor's voltage to reach 450.0 V?


 * -a) 3.224E+01 s
 * +b) 3.547E+01 s
 * -c) 3.902E+01 s
 * -d) 4.292E+01 s
 * -e) 4.721E+01 s

8) Two sources of emf &epsilon;1=43.0 V, and  &epsilon;2=13.8 V are oriented as shownin the circuit. The resistances are R1=3.97 k&Omega; and  R2=1.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=6.25 mA and I4=1.82 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 3.661E+00 mA
 * -b) 4.027E+00 mA
 * +c) 4.430E+00 mA
 * -d) 4.873E+00 mA
 * -e) 5.360E+00 mA

9) A battery with a terminal voltage of 7.82 V is connected to a circuit consisting of 2 19.3 &Omega; resistors and one 12.2 &Omega; resistor. What is the voltage drop across the 12.2 &Omega; resistor?


 * -a) 1.552E+00 V
 * -b) 1.707E+00 V
 * +c) 1.878E+00 V
 * -d) 2.066E+00 V
 * -e) 2.272E+00 V

Key: I2
1) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * +a) 1.234E+00 V
 * -b) 1.358E+00 V
 * -c) 1.493E+00 V
 * -d) 1.643E+00 V
 * -e) 1.807E+00 V

2) Two sources of emf &epsilon;1=30.5 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.79 k&Omega; and  R2=1.86 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.07 mA and I4=0.73 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 2.281E+00 mA
 * -b) 2.509E+00 mA
 * -c) 2.760E+00 mA
 * -d) 3.036E+00 mA
 * +e) 3.340E+00 mA

3) Two sources of emf &epsilon;1=57.0 V, and  &epsilon;2=18.1 V are oriented as shownin the circuit. The resistances are R1=4.95 k&Omega; and  R2=2.09 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.23 mA and I4=1.04 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 1.921E+01 V
 * +b) 2.114E+01 V
 * -c) 2.325E+01 V
 * -d) 2.557E+01 V
 * -e) 2.813E+01 V

4) A given battery has a 15 V emf and an internal resistance of 0.113 &Omega;. If it is connected to a 0.645 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.898E+02 W
 * -b) 2.087E+02 W
 * -c) 2.296E+02 W
 * +d) 2.526E+02 W
 * -e) 2.778E+02 W

5) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 467 V.  If the combined external and internal resistance is 172 &Omega and the capacitance is  74 mF, how long will it take for the capacitor's voltage to reach 258.0 V?


 * -a) 7.688E+00 s
 * -b) 8.457E+00 s
 * -c) 9.303E+00 s
 * +d) 1.023E+01 s
 * -e) 1.126E+01 s

6) In the circuit shown V=15.4 V, R1=2.55 &Omega;, R2=5.12 &Omega;, and R3=12.7 &Omega;. What is the power dissipated by R2?


 * -a) 1.096E+01 W
 * -b) 1.206E+01 W
 * -c) 1.326E+01 W
 * -d) 1.459E+01 W
 * +e) 1.605E+01 W

7) The resistances in the figure shown are R1= 1.18 &Omega;, R2= 0.878 &Omega;, and R2= 2.11 &Omega;. V1 and V3 are text 0.637 V and 3.51 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.547 V. What is the absolute value of the current through R1?


 * -a) 1.701E-01 A
 * +b) 1.871E-01 A
 * -c) 2.058E-01 A
 * -d) 2.264E-01 A
 * -e) 2.490E-01 A

8) Three resistors, R1 = 1.25 &Omega;, and R2 = R2 = 2.82 &Omega;, are connected in parallel to a 8.6 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 4.890E+01 W
 * -b) 5.379E+01 W
 * +c) 5.917E+01 W
 * -d) 6.508E+01 W
 * -e) 7.159E+01 W

9) Two sources of emf &epsilon;1=45.3 V, and  &epsilon;2=13.3 V are oriented as shownin the circuit. The resistances are R1=3.82 k&Omega; and  R2=1.5 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=6.17 mA and I4=1.11 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 1.177E+01 V
 * -b) 1.295E+01 V
 * -c) 1.424E+01 V
 * +d) 1.567E+01 V
 * -e) 1.723E+01 V

Key: J0
1) A given battery has a 15 V emf and an internal resistance of 0.162 &Omega;. If it is connected to a 0.561 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.814E+02 W
 * -b) 1.996E+02 W
 * -c) 2.195E+02 W
 * +d) 2.415E+02 W
 * -e) 2.656E+02 W

2) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 2 15.9 &Omega; resistors and one 10.4 &Omega; resistor. What is the voltage drop across the 10.4 &Omega; resistor?


 * -a) 1.709E+00 V
 * +b) 1.880E+00 V
 * -c) 2.068E+00 V
 * -d) 2.275E+00 V
 * -e) 2.503E+00 V

3) Three resistors, R1 = 0.855 &Omega;, and R2 = R2 = 1.91 &Omega;, are connected in parallel to a 6.97 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * +a) 5.682E+01 W
 * -b) 6.250E+01 W
 * -c) 6.875E+01 W
 * -d) 7.563E+01 W
 * -e) 8.319E+01 W

4) In the circuit shown V=17.9 V, R1=1.3 &Omega;, R2=5.1 &Omega;, and R3=12.1 &Omega;. What is the power dissipated by R2?


 * -a) 2.543E+01 W
 * -b) 2.798E+01 W
 * -c) 3.077E+01 W
 * +d) 3.385E+01 W
 * -e) 3.724E+01 W

5) The resistances in the figure shown are R1= 2.67 &Omega;, R2= 1.78 &Omega;, and R2= 3.63 &Omega;. V1 and V3 are text 0.448 V and 2.29 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.656 V. What is the absolute value of the current through R1?


 * -a) 9.287E-02 A
 * -b) 1.022E-01 A
 * -c) 1.124E-01 A
 * +d) 1.236E-01 A
 * -e) 1.360E-01 A

6) Two sources of emf &epsilon;1=49.6 V, and  &epsilon;2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 3.055E+00 mA
 * +b) 3.360E+00 mA
 * -c) 3.696E+00 mA
 * -d) 4.066E+00 mA
 * -e) 4.472E+00 mA

7) Two sources of emf &epsilon;1=27.1 V, and  &epsilon;2=8.04 V are oriented as shownin the circuit. The resistances are R1=2.94 k&Omega; and  R2=1.61 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.87 mA and I4=0.57 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 8.482E+00 V
 * +b) 9.330E+00 V
 * -c) 1.026E+01 V
 * -d) 1.129E+01 V
 * -e) 1.242E+01 V

8) Two sources of emf &epsilon;1=14.3 V, and  &epsilon;2=5.6 V are oriented as shownin the circuit. The resistances are R1=5.31 k&Omega; and  R2=2.39 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.12 mA and I4=0.284 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 3.416E+00 V
 * -b) 3.757E+00 V
 * -c) 4.133E+00 V
 * +d) 4.546E+00 V
 * -e) 5.001E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 319 V.  If the combined external and internal resistance is 231 &Omega and the capacitance is  64 mF, how long will it take for the capacitor's voltage to reach 175.0 V?


 * -a) 9.718E+00 s
 * -b) 1.069E+01 s
 * +c) 1.176E+01 s
 * -d) 1.293E+01 s
 * -e) 1.423E+01 s

Key: J1
1) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 190 V.  If the combined external and internal resistance is 255 &Omega and the capacitance is  54 mF, how long will it take for the capacitor's voltage to reach 101.0 V?


 * +a) 1.044E+01 s
 * -b) 1.149E+01 s
 * -c) 1.264E+01 s
 * -d) 1.390E+01 s
 * -e) 1.529E+01 s

2) The resistances in the figure shown are R1= 1.1 &Omega;, R2= 1.55 &Omega;, and R2= 2.11 &Omega;. V1 and V3 are text 0.545 V and 3.22 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.744 V. What is the absolute value of the current through R1?


 * -a) 1.886E-01 A
 * +b) 2.075E-01 A
 * -c) 2.282E-01 A
 * -d) 2.510E-01 A
 * -e) 2.761E-01 A

3) Two sources of emf &epsilon;1=21.6 V, and  &epsilon;2=8.59 V are oriented as shownin the circuit. The resistances are R1=4.97 k&Omega; and  R2=1.69 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.2 mA and I4=0.749 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 6.064E+00 V
 * -b) 6.670E+00 V
 * +c) 7.337E+00 V
 * -d) 8.071E+00 V
 * -e) 8.878E+00 V

4) In the circuit shown V=15.8 V, R1=1.86 &Omega;, R2=7.66 &Omega;, and R3=12.9 &Omega;. What is the power dissipated by R2?


 * -a) 1.157E+01 W
 * -b) 1.273E+01 W
 * -c) 1.400E+01 W
 * -d) 1.540E+01 W
 * +e) 1.694E+01 W

5) A given battery has a 14 V emf and an internal resistance of 0.192 &Omega;. If it is connected to a 0.766 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.229E+02 W
 * -b) 1.352E+02 W
 * -c) 1.487E+02 W
 * +d) 1.636E+02 W
 * -e) 1.799E+02 W

6) Three resistors, R1 = 0.855 &Omega;, and R2 = R2 = 1.91 &Omega;, are connected in parallel to a 6.97 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * +a) 5.682E+01 W
 * -b) 6.250E+01 W
 * -c) 6.875E+01 W
 * -d) 7.563E+01 W
 * -e) 8.319E+01 W

7) Two sources of emf &epsilon;1=20.6 V, and  &epsilon;2=9.53 V are oriented as shownin the circuit. The resistances are R1=5.46 k&Omega; and  R2=2.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.5 mA and I4=0.415 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 1.085E+00 mA
 * -b) 1.194E+00 mA
 * -c) 1.313E+00 mA
 * -d) 1.444E+00 mA
 * -e) 1.589E+00 mA

8) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * +a) 1.234E+00 V
 * -b) 1.358E+00 V
 * -c) 1.493E+00 V
 * -d) 1.643E+00 V
 * -e) 1.807E+00 V

9) Two sources of emf &epsilon;1=16.8 V, and  &epsilon;2=7.15 V are oriented as shownin the circuit. The resistances are R1=3.12 k&Omega; and  R2=1.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.95 mA and I4=0.603 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 4.108E+00 V
 * +b) 4.519E+00 V
 * -c) 4.970E+00 V
 * -d) 5.468E+00 V
 * -e) 6.014E+00 V

Key: J2
1) A battery with a terminal voltage of 6.49 V is connected to a circuit consisting of 3 18.0 &Omega; resistors and one 10.3 &Omega; resistor. What is the voltage drop across the 10.3 &Omega; resistor?


 * -a) 7.101E-01 V
 * -b) 7.811E-01 V
 * -c) 8.592E-01 V
 * -d) 9.451E-01 V
 * +e) 1.040E+00 V

2) In the circuit shown V=18.4 V, R1=1.64 &Omega;, R2=6.56 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * -a) 2.470E+01 W
 * +b) 2.717E+01 W
 * -c) 2.989E+01 W
 * -d) 3.288E+01 W
 * -e) 3.617E+01 W

3) Two sources of emf &epsilon;1=26.8 V, and  &epsilon;2=10.1 V are oriented as shownin the circuit. The resistances are R1=2.2 k&Omega; and  R2=2.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.29 mA and I4=0.464 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 3.436E+00 V
 * -b) 3.779E+00 V
 * -c) 4.157E+00 V
 * -d) 4.573E+00 V
 * +e) 5.030E+00 V

4) Three resistors, R1 = 1.25 &Omega;, and R2 = R2 = 2.82 &Omega;, are connected in parallel to a 8.6 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 4.890E+01 W
 * -b) 5.379E+01 W
 * +c) 5.917E+01 W
 * -d) 6.508E+01 W
 * -e) 7.159E+01 W

5) A given battery has a 12 V emf and an internal resistance of 0.0984 &Omega;. If it is connected to a 0.485 &Omega; resistor what is the power dissipated by that load?


 * +a) 2.052E+02 W
 * -b) 2.257E+02 W
 * -c) 2.483E+02 W
 * -d) 2.731E+02 W
 * -e) 3.004E+02 W

6) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 190 V.  If the combined external and internal resistance is 255 &Omega and the capacitance is  54 mF, how long will it take for the capacitor's voltage to reach 101.0 V?


 * +a) 1.044E+01 s
 * -b) 1.149E+01 s
 * -c) 1.264E+01 s
 * -d) 1.390E+01 s
 * -e) 1.529E+01 s

7) The resistances in the figure shown are R1= 1.81 &Omega;, R2= 1.18 &Omega;, and R2= 2.62 &Omega;. V1 and V3 are text 0.628 V and 2.54 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.748 V. What is the absolute value of the current through R1?


 * -a) 1.552E-01 A
 * -b) 1.707E-01 A
 * -c) 1.878E-01 A
 * -d) 2.065E-01 A
 * +e) 2.272E-01 A

8) Two sources of emf &epsilon;1=27.9 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=2.82 k&Omega; and  R2=2.25 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.1 mA and I4=0.676 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 8.334E+00 V
 * -b) 9.167E+00 V
 * +c) 1.008E+01 V
 * -d) 1.109E+01 V
 * -e) 1.220E+01 V

9) Two sources of emf &epsilon;1=20.6 V, and  &epsilon;2=9.53 V are oriented as shownin the circuit. The resistances are R1=5.46 k&Omega; and  R2=2.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.5 mA and I4=0.415 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 1.085E+00 mA
 * -b) 1.194E+00 mA
 * -c) 1.313E+00 mA
 * -d) 1.444E+00 mA
 * -e) 1.589E+00 mA

Key: K0
1) A given battery has a 9 V emf and an internal resistance of 0.16 &Omega;. If it is connected to a 0.45 &Omega; resistor what is the power dissipated by that load?


 * -a) 6.691E+01 W
 * -b) 7.360E+01 W
 * -c) 8.096E+01 W
 * -d) 8.905E+01 W
 * +e) 9.796E+01 W

2) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 &Omega; resistors and one 10.2 &Omega; resistor. What is the voltage drop across the 10.2 &Omega; resistor?


 * -a) 2.074E+00 V
 * -b) 2.282E+00 V
 * +c) 2.510E+00 V
 * -d) 2.761E+00 V
 * -e) 3.037E+00 V

3) Three resistors, R1 = 1.41 &Omega;, and R2 = R2 = 3.17 &Omega;, are connected in parallel to a 5.89 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.681E+01 W
 * -b) 1.849E+01 W
 * -c) 2.033E+01 W
 * -d) 2.237E+01 W
 * +e) 2.460E+01 W

4) In the circuit shown V=15.4 V, R1=2.77 &Omega;, R2=6.07 &Omega;, and R3=14.5 &Omega;. What is the power dissipated by R2?


 * -a) 1.190E+01 W
 * -b) 1.309E+01 W
 * +c) 1.440E+01 W
 * -d) 1.584E+01 W
 * -e) 1.742E+01 W

5) The resistances in the figure shown are R1= 2.24 &Omega;, R2= 1.03 &Omega;, and R2= 2.39 &Omega;. V1 and V3 are text 0.595 V and 2.58 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.707 V. What is the absolute value of the current through R1?


 * -a) 1.834E-01 A
 * +b) 2.018E-01 A
 * -c) 2.220E-01 A
 * -d) 2.441E-01 A
 * -e) 2.686E-01 A

6) Two sources of emf &epsilon;1=18.2 V, and  &epsilon;2=6.59 V are oriented as shownin the circuit. The resistances are R1=5.47 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.64 mA and I4=0.341 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 1.299E+00 mA
 * -b) 1.429E+00 mA
 * -c) 1.572E+00 mA
 * -d) 1.729E+00 mA
 * -e) 1.902E+00 mA

7) Two sources of emf &epsilon;1=16.8 V, and  &epsilon;2=7.15 V are oriented as shownin the circuit. The resistances are R1=3.12 k&Omega; and  R2=1.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.95 mA and I4=0.603 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 4.108E+00 V
 * +b) 4.519E+00 V
 * -c) 4.970E+00 V
 * -d) 5.468E+00 V
 * -e) 6.014E+00 V

8) Two sources of emf &epsilon;1=24.4 V, and  &epsilon;2=6.73 V are oriented as shownin the circuit. The resistances are R1=5.7 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.36 mA and I4=0.418 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 5.418E+00 V
 * -b) 5.960E+00 V
 * -c) 6.556E+00 V
 * -d) 7.212E+00 V
 * +e) 7.933E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 327 V.  If the combined external and internal resistance is 204 &Omega and the capacitance is  68 mF, how long will it take for the capacitor's voltage to reach 218.0 V?


 * -a) 1.385E+01 s
 * +b) 1.524E+01 s
 * -c) 1.676E+01 s
 * -d) 1.844E+01 s
 * -e) 2.028E+01 s

Key: K1
1) Two sources of emf &epsilon;1=30.6 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.46 k&Omega; and  R2=2.77 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.97 mA and I4=0.643 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 4.986E+00 V
 * -b) 5.484E+00 V
 * -c) 6.033E+00 V
 * -d) 6.636E+00 V
 * +e) 7.299E+00 V

2) In the circuit shown V=18.8 V, R1=2.59 &Omega;, R2=5.47 &Omega;, and R3=15.8 &Omega;. What is the power dissipated by R2?


 * -a) 2.191E+01 W
 * +b) 2.410E+01 W
 * -c) 2.651E+01 W
 * -d) 2.916E+01 W
 * -e) 3.208E+01 W

3) A battery with a terminal voltage of 12.4 V is connected to a circuit consisting of 3 21.6 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * -a) 1.333E+00 V
 * -b) 1.466E+00 V
 * -c) 1.612E+00 V
 * -d) 1.774E+00 V
 * +e) 1.951E+00 V

4) Three resistors, R1 = 1.43 &Omega;, and R2 = R2 = 3.25 &Omega;, are connected in parallel to a 9.03 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 5.184E+01 W
 * +b) 5.702E+01 W
 * -c) 6.272E+01 W
 * -d) 6.900E+01 W
 * -e) 7.590E+01 W

5) Two sources of emf &epsilon;1=39.0 V, and  &epsilon;2=15.9 V are oriented as shownin the circuit. The resistances are R1=3.4 k&Omega; and  R2=2.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.58 mA and I4=0.978 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 2.150E+00 mA
 * -b) 2.365E+00 mA
 * +c) 2.602E+00 mA
 * -d) 2.862E+00 mA
 * -e) 3.148E+00 mA

6) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 130 V.  If the combined external and internal resistance is 109 &Omega and the capacitance is  59 mF, how long will it take for the capacitor's voltage to reach 69.9 V?


 * -a) 3.728E+00 s
 * -b) 4.101E+00 s
 * -c) 4.511E+00 s
 * +d) 4.962E+00 s
 * -e) 5.458E+00 s

7) Two sources of emf &epsilon;1=18.6 V, and  &epsilon;2=5.63 V are oriented as shownin the circuit. The resistances are R1=3.9 k&Omega; and  R2=1.1 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.41 mA and I4=0.614 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 4.342E+00 V
 * -b) 4.776E+00 V
 * -c) 5.254E+00 V
 * +d) 5.779E+00 V
 * -e) 6.357E+00 V

8) The resistances in the figure shown are R1= 1.6 &Omega;, R2= 1.3 &Omega;, and R2= 2.22 &Omega;. V1 and V3 are text 0.55 V and 3.18 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.743 V. What is the absolute value of the current through R1?


 * +a) 1.721E-01 A
 * -b) 1.893E-01 A
 * -c) 2.082E-01 A
 * -d) 2.291E-01 A
 * -e) 2.520E-01 A

9) A given battery has a 12 V emf and an internal resistance of 0.0984 &Omega;. If it is connected to a 0.485 &Omega; resistor what is the power dissipated by that load?


 * +a) 2.052E+02 W
 * -b) 2.257E+02 W
 * -c) 2.483E+02 W
 * -d) 2.731E+02 W
 * -e) 3.004E+02 W

Key: K2
1) Two sources of emf &epsilon;1=29.3 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=5.65 k&Omega; and  R2=2.68 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.81 mA and I4=0.525 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 1.717E+00 mA
 * -b) 1.888E+00 mA
 * -c) 2.077E+00 mA
 * +d) 2.285E+00 mA
 * -e) 2.514E+00 mA

2) Two sources of emf &epsilon;1=39.2 V, and  &epsilon;2=12.6 V are oriented as shownin the circuit. The resistances are R1=3.86 k&Omega; and  R2=1.89 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.05 mA and I4=0.701 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 8.687E+00 V
 * -b) 9.555E+00 V
 * -c) 1.051E+01 V
 * -d) 1.156E+01 V
 * +e) 1.272E+01 V

3) Two sources of emf &epsilon;1=46.1 V, and  &epsilon;2=16.2 V are oriented as shownin the circuit. The resistances are R1=5.17 k&Omega; and  R2=2.06 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.97 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 1.309E+01 V
 * -b) 1.440E+01 V
 * +c) 1.584E+01 V
 * -d) 1.742E+01 V
 * -e) 1.917E+01 V

4) In the circuit shown V=11.9 V, R1=2.75 &Omega;, R2=7.19 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * +a) 7.982E+00 W
 * -b) 8.780E+00 W
 * -c) 9.658E+00 W
 * -d) 1.062E+01 W
 * -e) 1.169E+01 W

5) A given battery has a 13 V emf and an internal resistance of 0.113 &Omega;. If it is connected to a 0.686 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.501E+02 W
 * -b) 1.651E+02 W
 * +c) 1.816E+02 W
 * -d) 1.998E+02 W
 * -e) 2.197E+02 W

6) The resistances in the figure shown are R1= 2.34 &Omega;, R2= 1.34 &Omega;, and R2= 2.94 &Omega;. V1 and V3 are text 0.609 V and 1.68 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.541 V. What is the absolute value of the current through R1?


 * -a) 1.464E-01 A
 * +b) 1.610E-01 A
 * -c) 1.772E-01 A
 * -d) 1.949E-01 A
 * -e) 2.144E-01 A

7) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 351 V.  If the combined external and internal resistance is 148 &Omega and the capacitance is  60 mF, how long will it take for the capacitor's voltage to reach 227.0 V?


 * +a) 9.240E+00 s
 * -b) 1.016E+01 s
 * -c) 1.118E+01 s
 * -d) 1.230E+01 s
 * -e) 1.353E+01 s

8) A battery with a terminal voltage of 7.82 V is connected to a circuit consisting of 2 19.3 &Omega; resistors and one 12.2 &Omega; resistor. What is the voltage drop across the 12.2 &Omega; resistor?


 * -a) 1.552E+00 V
 * -b) 1.707E+00 V
 * +c) 1.878E+00 V
 * -d) 2.066E+00 V
 * -e) 2.272E+00 V

9) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.842E+01 W
 * -b) 2.026E+01 W
 * +c) 2.228E+01 W
 * -d) 2.451E+01 W
 * -e) 2.696E+01 W

Key: L0
1) A given battery has a 9 V emf and an internal resistance of 0.16 &Omega;. If it is connected to a 0.45 &Omega; resistor what is the power dissipated by that load?


 * -a) 6.691E+01 W
 * -b) 7.360E+01 W
 * -c) 8.096E+01 W
 * -d) 8.905E+01 W
 * +e) 9.796E+01 W

2) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 &Omega; resistors and one 10.2 &Omega; resistor. What is the voltage drop across the 10.2 &Omega; resistor?


 * -a) 2.074E+00 V
 * -b) 2.282E+00 V
 * +c) 2.510E+00 V
 * -d) 2.761E+00 V
 * -e) 3.037E+00 V

3) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.842E+01 W
 * -b) 2.026E+01 W
 * +c) 2.228E+01 W
 * -d) 2.451E+01 W
 * -e) 2.696E+01 W

4) In the circuit shown V=17.5 V, R1=2.34 &Omega;, R2=7.1 &Omega;, and R3=15.3 &Omega;. What is the power dissipated by R2?


 * -a) 1.784E+01 W
 * +b) 1.963E+01 W
 * -c) 2.159E+01 W
 * -d) 2.375E+01 W
 * -e) 2.612E+01 W

5) The resistances in the figure shown are R1= 2.74 &Omega;, R2= 1.63 &Omega;, and R2= 2.75 &Omega;. V1 and V3 are text 0.485 V and 2.01 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.555 V. What is the absolute value of the current through R1?


 * -a) 1.114E-01 A
 * +b) 1.225E-01 A
 * -c) 1.348E-01 A
 * -d) 1.483E-01 A
 * -e) 1.631E-01 A

6) Two sources of emf &epsilon;1=18.2 V, and  &epsilon;2=6.59 V are oriented as shownin the circuit. The resistances are R1=5.47 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.64 mA and I4=0.341 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 1.299E+00 mA
 * -b) 1.429E+00 mA
 * -c) 1.572E+00 mA
 * -d) 1.729E+00 mA
 * -e) 1.902E+00 mA

7) Two sources of emf &epsilon;1=28.6 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=3.73 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.27 mA and I4=0.774 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 6.641E+00 V
 * +b) 7.305E+00 V
 * -c) 8.035E+00 V
 * -d) 8.839E+00 V
 * -e) 9.723E+00 V

8) Two sources of emf &epsilon;1=18.6 V, and  &epsilon;2=5.63 V are oriented as shownin the circuit. The resistances are R1=3.9 k&Omega; and  R2=1.1 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.41 mA and I4=0.614 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 4.342E+00 V
 * -b) 4.776E+00 V
 * -c) 5.254E+00 V
 * +d) 5.779E+00 V
 * -e) 6.357E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 319 V.  If the combined external and internal resistance is 231 &Omega and the capacitance is  64 mF, how long will it take for the capacitor's voltage to reach 175.0 V?


 * -a) 9.718E+00 s
 * -b) 1.069E+01 s
 * +c) 1.176E+01 s
 * -d) 1.293E+01 s
 * -e) 1.423E+01 s

Key: L1
1) A battery with a terminal voltage of 14.9 V is connected to a circuit consisting of 2 16.3 &Omega; resistors and one 9.8 &Omega; resistor. What is the voltage drop across the 9.8 &Omega; resistor?


 * -a) 2.352E+00 V
 * -b) 2.587E+00 V
 * -c) 2.846E+00 V
 * -d) 3.131E+00 V
 * +e) 3.444E+00 V

2) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=13.6 V are oriented as shownin the circuit. The resistances are R1=2.86 k&Omega; and  R2=2.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.02 mA and I4=0.854 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * +a) 1.380E+01 V
 * -b) 1.518E+01 V
 * -c) 1.670E+01 V
 * -d) 1.837E+01 V
 * -e) 2.020E+01 V

3) The resistances in the figure shown are R1= 2.74 &Omega;, R2= 1.63 &Omega;, and R2= 2.75 &Omega;. V1 and V3 are text 0.485 V and 2.01 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.555 V. What is the absolute value of the current through R1?


 * -a) 1.114E-01 A
 * +b) 1.225E-01 A
 * -c) 1.348E-01 A
 * -d) 1.483E-01 A
 * -e) 1.631E-01 A

4) Two sources of emf &epsilon;1=49.8 V, and  &epsilon;2=18.1 V are oriented as shownin the circuit. The resistances are R1=2.78 k&Omega; and  R2=2.63 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.51 mA and I4=0.969 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 7.886E+00 V
 * -b) 8.675E+00 V
 * -c) 9.542E+00 V
 * -d) 1.050E+01 V
 * +e) 1.155E+01 V

5) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 130 V.  If the combined external and internal resistance is 109 &Omega and the capacitance is  59 mF, how long will it take for the capacitor's voltage to reach 69.9 V?


 * -a) 3.728E+00 s
 * -b) 4.101E+00 s
 * -c) 4.511E+00 s
 * +d) 4.962E+00 s
 * -e) 5.458E+00 s

6) Three resistors, R1 = 0.624 &Omega;, and R2 = R2 = 1.37 &Omega;, are connected in parallel to a 7.46 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 7.371E+01 W
 * -b) 8.108E+01 W
 * +c) 8.919E+01 W
 * -d) 9.810E+01 W
 * -e) 1.079E+02 W

7) In the circuit shown V=13.5 V, R1=2.66 &Omega;, R2=7.29 &Omega;, and R3=14.5 &Omega;. What is the power dissipated by R2?


 * -a) 7.123E+00 W
 * -b) 7.835E+00 W
 * -c) 8.618E+00 W
 * -d) 9.480E+00 W
 * +e) 1.043E+01 W

8) Two sources of emf &epsilon;1=44.4 V, and  &epsilon;2=16.8 V are oriented as shownin the circuit. The resistances are R1=4.58 k&Omega; and  R2=1.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=8.43 mA and I4=1.46 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 6.970E+00 mA
 * -b) 7.667E+00 mA
 * -c) 8.434E+00 mA
 * -d) 9.277E+00 mA
 * -e) 1.020E+01 mA

9) A given battery has a 14 V emf and an internal resistance of 0.192 &Omega;. If it is connected to a 0.766 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.229E+02 W
 * -b) 1.352E+02 W
 * -c) 1.487E+02 W
 * +d) 1.636E+02 W
 * -e) 1.799E+02 W

Key: L2
1) Two sources of emf &epsilon;1=49.6 V, and  &epsilon;2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 3.055E+00 mA
 * +b) 3.360E+00 mA
 * -c) 3.696E+00 mA
 * -d) 4.066E+00 mA
 * -e) 4.472E+00 mA

2) A given battery has a 15 V emf and an internal resistance of 0.177 &Omega;. If it is connected to a 0.824 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.682E+02 W
 * +b) 1.850E+02 W
 * -c) 2.035E+02 W
 * -d) 2.239E+02 W
 * -e) 2.463E+02 W

3) The resistances in the figure shown are R1= 2.67 &Omega;, R2= 1.78 &Omega;, and R2= 3.63 &Omega;. V1 and V3 are text 0.448 V and 2.29 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.656 V. What is the absolute value of the current through R1?


 * -a) 9.287E-02 A
 * -b) 1.022E-01 A
 * -c) 1.124E-01 A
 * +d) 1.236E-01 A
 * -e) 1.360E-01 A

4) Two sources of emf &epsilon;1=52.7 V, and  &epsilon;2=17.5 V are oriented as shownin the circuit. The resistances are R1=5.86 k&Omega; and  R2=2.08 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.48 mA and I4=0.988 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * +a) 2.064E+01 V
 * -b) 2.270E+01 V
 * -c) 2.497E+01 V
 * -d) 2.747E+01 V
 * -e) 3.021E+01 V

5) A battery with a terminal voltage of 8.66 V is connected to a circuit consisting of 3 19.6 &Omega; resistors and one 10.6 &Omega; resistor. What is the voltage drop across the 10.6 &Omega; resistor?


 * -a) 1.202E+00 V
 * +b) 1.323E+00 V
 * -c) 1.455E+00 V
 * -d) 1.600E+00 V
 * -e) 1.761E+00 V

6) Three resistors, R1 = 1.31 &Omega;, and R2 = R2 = 2.91 &Omega;, are connected in parallel to a 6.03 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 2.294E+01 W
 * -b) 2.523E+01 W
 * +c) 2.776E+01 W
 * -d) 3.053E+01 W
 * -e) 3.359E+01 W

7) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 129 V.  If the combined external and internal resistance is 169 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 109.0 V?


 * -a) 2.177E+01 s
 * +b) 2.394E+01 s
 * -c) 2.634E+01 s
 * -d) 2.897E+01 s
 * -e) 3.187E+01 s

8) In the circuit shown V=19.6 V, R1=1.45 &Omega;, R2=7.85 &Omega;, and R3=15.8 &Omega;. What is the power dissipated by R2?


 * -a) 2.730E+01 W
 * +b) 3.003E+01 W
 * -c) 3.304E+01 W
 * -d) 3.634E+01 W
 * -e) 3.998E+01 W

9) Two sources of emf &epsilon;1=42.2 V, and  &epsilon;2=17.8 V are oriented as shownin the circuit. The resistances are R1=4.2 k&Omega; and  R2=2.83 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.5 mA and I4=0.749 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 1.056E+01 V
 * -b) 1.161E+01 V
 * -c) 1.277E+01 V
 * +d) 1.405E+01 V
 * -e) 1.545E+01 V

Key: M0
1) A given battery has a 11 V emf and an internal resistance of 0.0998 &Omega;. If it is connected to a 0.417 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.419E+02 W
 * -b) 1.561E+02 W
 * -c) 1.717E+02 W
 * +d) 1.889E+02 W
 * -e) 2.078E+02 W

2) A battery with a terminal voltage of 8.66 V is connected to a circuit consisting of 3 19.6 &Omega; resistors and one 10.6 &Omega; resistor. What is the voltage drop across the 10.6 &Omega; resistor?


 * -a) 1.202E+00 V
 * +b) 1.323E+00 V
 * -c) 1.455E+00 V
 * -d) 1.600E+00 V
 * -e) 1.761E+00 V

3) Three resistors, R1 = 1.23 &Omega;, and R2 = R2 = 2.73 &Omega;, are connected in parallel to a 5.41 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.788E+01 W
 * -b) 1.967E+01 W
 * -c) 2.163E+01 W
 * +d) 2.380E+01 W
 * -e) 2.617E+01 W

4) In the circuit shown V=15.2 V, R1=1.6 &Omega;, R2=7.89 &Omega;, and R3=15.3 &Omega;. What is the power dissipated by R2?


 * +a) 1.713E+01 W
 * -b) 1.885E+01 W
 * -c) 2.073E+01 W
 * -d) 2.280E+01 W
 * -e) 2.508E+01 W

5) The resistances in the figure shown are R1= 1.57 &Omega;, R2= 1.25 &Omega;, and R2= 3.38 &Omega;. V1 and V3 are text 0.585 V and 2.91 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.55 V. What is the absolute value of the current through R1?


 * -a) 1.427E-01 A
 * -b) 1.569E-01 A
 * +c) 1.726E-01 A
 * -d) 1.899E-01 A
 * -e) 2.089E-01 A

6) Two sources of emf &epsilon;1=36.3 V, and  &epsilon;2=12.9 V are oriented as shownin the circuit. The resistances are R1=4.28 k&Omega; and  R2=1.58 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.16 mA and I4=1.2 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 2.224E+00 mA
 * -b) 2.446E+00 mA
 * -c) 2.691E+00 mA
 * +d) 2.960E+00 mA
 * -e) 3.256E+00 mA

7) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=8.29 V are oriented as shownin the circuit. The resistances are R1=3.43 k&Omega; and  R2=1.16 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.09 mA and I4=1.06 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 6.720E+00 V
 * -b) 7.392E+00 V
 * -c) 8.131E+00 V
 * -d) 8.944E+00 V
 * +e) 9.838E+00 V

8) Two sources of emf &epsilon;1=67.2 V, and  &epsilon;2=18.7 V are oriented as shownin the circuit. The resistances are R1=3.45 k&Omega; and  R2=1.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=9.49 mA and I4=1.81 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 1.906E+01 V
 * +b) 2.097E+01 V
 * -c) 2.306E+01 V
 * -d) 2.537E+01 V
 * -e) 2.790E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 301 V.  If the combined external and internal resistance is 245 &Omega and the capacitance is  63 mF, how long will it take for the capacitor's voltage to reach 192.0 V?


 * -a) 1.296E+01 s
 * -b) 1.425E+01 s
 * +c) 1.568E+01 s
 * -d) 1.725E+01 s
 * -e) 1.897E+01 s

Key: M1
1) Three resistors, R1 = 0.624 &Omega;, and R2 = R2 = 1.37 &Omega;, are connected in parallel to a 7.46 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 7.371E+01 W
 * -b) 8.108E+01 W
 * +c) 8.919E+01 W
 * -d) 9.810E+01 W
 * -e) 1.079E+02 W

2) Two sources of emf &epsilon;1=27.9 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=2.82 k&Omega; and  R2=2.25 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.1 mA and I4=0.676 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 8.334E+00 V
 * -b) 9.167E+00 V
 * +c) 1.008E+01 V
 * -d) 1.109E+01 V
 * -e) 1.220E+01 V

3) A battery with a terminal voltage of 7.82 V is connected to a circuit consisting of 2 19.3 &Omega; resistors and one 12.2 &Omega; resistor. What is the voltage drop across the 12.2 &Omega; resistor?


 * -a) 1.552E+00 V
 * -b) 1.707E+00 V
 * +c) 1.878E+00 V
 * -d) 2.066E+00 V
 * -e) 2.272E+00 V

4) Two sources of emf &epsilon;1=35.5 V, and  &epsilon;2=12.3 V are oriented as shownin the circuit. The resistances are R1=4.49 k&Omega; and  R2=1.53 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.63 mA and I4=0.972 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 1.093E+01 V
 * +b) 1.202E+01 V
 * -c) 1.322E+01 V
 * -d) 1.454E+01 V
 * -e) 1.600E+01 V

5) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 466 V.  If the combined external and internal resistance is 123 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 331.0 V?


 * -a) 9.571E+00 s
 * -b) 1.053E+01 s
 * +c) 1.158E+01 s
 * -d) 1.274E+01 s
 * -e) 1.401E+01 s

6) In the circuit shown V=15.4 V, R1=2.77 &Omega;, R2=6.07 &Omega;, and R3=14.5 &Omega;. What is the power dissipated by R2?


 * -a) 1.190E+01 W
 * -b) 1.309E+01 W
 * +c) 1.440E+01 W
 * -d) 1.584E+01 W
 * -e) 1.742E+01 W

7) The resistances in the figure shown are R1= 2.04 &Omega;, R2= 1.19 &Omega;, and R2= 2.5 &Omega;. V1 and V3 are text 0.507 V and 3.07 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.602 V. What is the absolute value of the current through R1?


 * +a) 1.401E-01 A
 * -b) 1.542E-01 A
 * -c) 1.696E-01 A
 * -d) 1.865E-01 A
 * -e) 2.052E-01 A

8) A given battery has a 15 V emf and an internal resistance of 0.113 &Omega;. If it is connected to a 0.645 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.898E+02 W
 * -b) 2.087E+02 W
 * -c) 2.296E+02 W
 * +d) 2.526E+02 W
 * -e) 2.778E+02 W

9) Two sources of emf &epsilon;1=44.4 V, and  &epsilon;2=16.8 V are oriented as shownin the circuit. The resistances are R1=4.58 k&Omega; and  R2=1.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=8.43 mA and I4=1.46 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 6.970E+00 mA
 * -b) 7.667E+00 mA
 * -c) 8.434E+00 mA
 * -d) 9.277E+00 mA
 * -e) 1.020E+01 mA

Key: M2
1) Two sources of emf &epsilon;1=36.3 V, and  &epsilon;2=12.9 V are oriented as shownin the circuit. The resistances are R1=4.28 k&Omega; and  R2=1.58 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.16 mA and I4=1.2 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 2.224E+00 mA
 * -b) 2.446E+00 mA
 * -c) 2.691E+00 mA
 * +d) 2.960E+00 mA
 * -e) 3.256E+00 mA

2) A given battery has a 13 V emf and an internal resistance of 0.161 &Omega;. If it is connected to a 0.814 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.087E+02 W
 * -b) 1.196E+02 W
 * -c) 1.316E+02 W
 * +d) 1.447E+02 W
 * -e) 1.592E+02 W

3) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 505 V.  If the combined external and internal resistance is 189 &Omega and the capacitance is  74 mF, how long will it take for the capacitor's voltage to reach 374.0 V?


 * -a) 1.560E+01 s
 * -b) 1.716E+01 s
 * +c) 1.887E+01 s
 * -d) 2.076E+01 s
 * -e) 2.284E+01 s

4) Two sources of emf &epsilon;1=52.7 V, and  &epsilon;2=17.5 V are oriented as shownin the circuit. The resistances are R1=5.86 k&Omega; and  R2=2.08 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.48 mA and I4=0.988 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * +a) 2.064E+01 V
 * -b) 2.270E+01 V
 * -c) 2.497E+01 V
 * -d) 2.747E+01 V
 * -e) 3.021E+01 V

5) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * +a) 1.234E+00 V
 * -b) 1.358E+00 V
 * -c) 1.493E+00 V
 * -d) 1.643E+00 V
 * -e) 1.807E+00 V

6) Two sources of emf &epsilon;1=18.6 V, and  &epsilon;2=5.63 V are oriented as shownin the circuit. The resistances are R1=3.9 k&Omega; and  R2=1.1 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.41 mA and I4=0.614 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 4.342E+00 V
 * -b) 4.776E+00 V
 * -c) 5.254E+00 V
 * +d) 5.779E+00 V
 * -e) 6.357E+00 V

7) Three resistors, R1 = 1.2 &Omega;, and R2 = R2 = 2.75 &Omega;, are connected in parallel to a 6.42 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 2.581E+01 W
 * -b) 2.839E+01 W
 * -c) 3.122E+01 W
 * +d) 3.435E+01 W
 * -e) 3.778E+01 W

8) In the circuit shown V=11.8 V, R1=2.38 &Omega;, R2=5.11 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * -a) 8.489E+00 W
 * -b) 9.338E+00 W
 * +c) 1.027E+01 W
 * -d) 1.130E+01 W
 * -e) 1.243E+01 W

9) The resistances in the figure shown are R1= 1.33 &Omega;, R2= 1.72 &Omega;, and R2= 3.69 &Omega;. V1 and V3 are text 0.606 V and 3.31 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.608 V. What is the absolute value of the current through R1?


 * -a) 1.137E-01 A
 * -b) 1.251E-01 A
 * -c) 1.376E-01 A
 * +d) 1.514E-01 A
 * -e) 1.665E-01 A

Key: N0
1) A given battery has a 14 V emf and an internal resistance of 0.132 &Omega;. If it is connected to a 0.689 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.656E+02 W
 * -b) 1.821E+02 W
 * +c) 2.003E+02 W
 * -d) 2.204E+02 W
 * -e) 2.424E+02 W

2) A battery with a terminal voltage of 8.01 V is connected to a circuit consisting of 3 22.1 &Omega; resistors and one 14.5 &Omega; resistor. What is the voltage drop across the 14.5 &Omega; resistor?


 * -a) 9.818E-01 V
 * -b) 1.080E+00 V
 * -c) 1.188E+00 V
 * -d) 1.307E+00 V
 * +e) 1.437E+00 V

3) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.842E+01 W
 * -b) 2.026E+01 W
 * +c) 2.228E+01 W
 * -d) 2.451E+01 W
 * -e) 2.696E+01 W

4) In the circuit shown V=16.1 V, R1=1.18 &Omega;, R2=5.28 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * -a) 2.172E+01 W
 * -b) 2.389E+01 W
 * -c) 2.628E+01 W
 * +d) 2.891E+01 W
 * -e) 3.180E+01 W

5) The resistances in the figure shown are R1= 2.49 &Omega;, R2= 1.72 &Omega;, and R2= 3.58 &Omega;. V1 and V3 are text 0.417 V and 1.83 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.53 V. What is the absolute value of the current through R1?


 * -a) 8.220E-02 A
 * -b) 9.042E-02 A
 * -c) 9.946E-02 A
 * +d) 1.094E-01 A
 * -e) 1.203E-01 A

6) Two sources of emf &epsilon;1=13.6 V, and  &epsilon;2=6.53 V are oriented as shownin the circuit. The resistances are R1=2.89 k&Omega; and  R2=2.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.11 mA and I4=0.311 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 7.264E-01 mA
 * +b) 7.990E-01 mA
 * -c) 8.789E-01 mA
 * -d) 9.668E-01 mA
 * -e) 1.063E+00 mA

7) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=14.4 V are oriented as shownin the circuit. The resistances are R1=4.33 k&Omega; and  R2=1.65 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.59 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 9.142E+00 V
 * -b) 1.006E+01 V
 * +c) 1.106E+01 V
 * -d) 1.217E+01 V
 * -e) 1.338E+01 V

8) Two sources of emf &epsilon;1=17.3 V, and  &epsilon;2=6.46 V are oriented as shownin the circuit. The resistances are R1=2.54 k&Omega; and  R2=2.79 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.1 mA and I4=0.281 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 6.488E+00 V
 * +b) 7.137E+00 V
 * -c) 7.850E+00 V
 * -d) 8.635E+00 V
 * -e) 9.499E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 598 V.  If the combined external and internal resistance is 170 &Omega and the capacitance is  73 mF, how long will it take for the capacitor's voltage to reach 436.0 V?


 * -a) 1.218E+01 s
 * -b) 1.339E+01 s
 * -c) 1.473E+01 s
 * +d) 1.621E+01 s
 * -e) 1.783E+01 s

Key: N1
1) Three resistors, R1 = 1.39 &Omega;, and R2 = R2 = 3.06 &Omega;, are connected in parallel to a 6.21 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 2.293E+01 W
 * -b) 2.522E+01 W
 * +c) 2.774E+01 W
 * -d) 3.052E+01 W
 * -e) 3.357E+01 W

2) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=14.4 V are oriented as shownin the circuit. The resistances are R1=4.33 k&Omega; and  R2=1.65 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.59 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 9.142E+00 V
 * -b) 1.006E+01 V
 * +c) 1.106E+01 V
 * -d) 1.217E+01 V
 * -e) 1.338E+01 V

3) Two sources of emf &epsilon;1=24.8 V, and  &epsilon;2=10.3 V are oriented as shownin the circuit. The resistances are R1=2.19 k&Omega; and  R2=1.6 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.49 mA and I4=0.83 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 1.660E+00 mA
 * -b) 1.826E+00 mA
 * -c) 2.009E+00 mA
 * -d) 2.209E+00 mA
 * -e) 2.430E+00 mA

4) The resistances in the figure shown are R1= 2.54 &Omega;, R2= 1.15 &Omega;, and R2= 2.9 &Omega;. V1 and V3 are text 0.446 V and 3.39 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.744 V. What is the absolute value of the current through R1?


 * +a) 1.285E-01 A
 * -b) 1.414E-01 A
 * -c) 1.555E-01 A
 * -d) 1.711E-01 A
 * -e) 1.882E-01 A

5) A battery with a terminal voltage of 8.01 V is connected to a circuit consisting of 3 22.1 &Omega; resistors and one 14.5 &Omega; resistor. What is the voltage drop across the 14.5 &Omega; resistor?


 * -a) 9.818E-01 V
 * -b) 1.080E+00 V
 * -c) 1.188E+00 V
 * -d) 1.307E+00 V
 * +e) 1.437E+00 V

6) Two sources of emf &epsilon;1=54.9 V, and  &epsilon;2=19.8 V are oriented as shownin the circuit. The resistances are R1=3.93 k&Omega; and  R2=1.31 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=9.18 mA and I4=1.83 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * +a) 1.779E+01 V
 * -b) 1.957E+01 V
 * -c) 2.153E+01 V
 * -d) 2.368E+01 V
 * -e) 2.605E+01 V

7) A given battery has a 14 V emf and an internal resistance of 0.192 &Omega;. If it is connected to a 0.766 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.229E+02 W
 * -b) 1.352E+02 W
 * -c) 1.487E+02 W
 * +d) 1.636E+02 W
 * -e) 1.799E+02 W

8) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 433 V.  If the combined external and internal resistance is 275 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 223.0 V?


 * -a) 1.104E+01 s
 * +b) 1.214E+01 s
 * -c) 1.335E+01 s
 * -d) 1.469E+01 s
 * -e) 1.616E+01 s

9) In the circuit shown V=15.4 V, R1=2.55 &Omega;, R2=5.12 &Omega;, and R3=12.7 &Omega;. What is the power dissipated by R2?


 * -a) 1.096E+01 W
 * -b) 1.206E+01 W
 * -c) 1.326E+01 W
 * -d) 1.459E+01 W
 * +e) 1.605E+01 W

Key: N2
1) Two sources of emf &epsilon;1=18.2 V, and  &epsilon;2=6.59 V are oriented as shownin the circuit. The resistances are R1=5.47 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.64 mA and I4=0.341 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 1.299E+00 mA
 * -b) 1.429E+00 mA
 * -c) 1.572E+00 mA
 * -d) 1.729E+00 mA
 * -e) 1.902E+00 mA

2) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=13.6 V are oriented as shownin the circuit. The resistances are R1=2.86 k&Omega; and  R2=2.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.02 mA and I4=0.854 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * +a) 1.380E+01 V
 * -b) 1.518E+01 V
 * -c) 1.670E+01 V
 * -d) 1.837E+01 V
 * -e) 2.020E+01 V

3) A battery with a terminal voltage of 8.14 V is connected to a circuit consisting of 2 21.5 &Omega; resistors and one 13.1 &Omega; resistor. What is the voltage drop across the 13.1 &Omega; resistor?


 * -a) 1.298E+00 V
 * -b) 1.428E+00 V
 * -c) 1.571E+00 V
 * -d) 1.728E+00 V
 * +e) 1.901E+00 V

4) Three resistors, R1 = 1.2 &Omega;, and R2 = R2 = 2.75 &Omega;, are connected in parallel to a 6.42 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 2.581E+01 W
 * -b) 2.839E+01 W
 * -c) 3.122E+01 W
 * +d) 3.435E+01 W
 * -e) 3.778E+01 W

5) A given battery has a 15 V emf and an internal resistance of 0.177 &Omega;. If it is connected to a 0.824 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.682E+02 W
 * +b) 1.850E+02 W
 * -c) 2.035E+02 W
 * -d) 2.239E+02 W
 * -e) 2.463E+02 W

6) The resistances in the figure shown are R1= 2.73 &Omega;, R2= 1.4 &Omega;, and R2= 2.35 &Omega;. V1 and V3 are text 0.549 V and 1.27 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.584 V. What is the absolute value of the current through R1?


 * -a) 1.213E-01 A
 * -b) 1.334E-01 A
 * -c) 1.468E-01 A
 * +d) 1.614E-01 A
 * -e) 1.776E-01 A

7) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 558 V.  If the combined external and internal resistance is 198 &Omega and the capacitance is  80 mF, how long will it take for the capacitor's voltage to reach 345.0 V?


 * -a) 1.146E+01 s
 * -b) 1.261E+01 s
 * -c) 1.387E+01 s
 * +d) 1.525E+01 s
 * -e) 1.678E+01 s

8) Two sources of emf &epsilon;1=30.6 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.46 k&Omega; and  R2=2.77 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.97 mA and I4=0.643 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 4.986E+00 V
 * -b) 5.484E+00 V
 * -c) 6.033E+00 V
 * -d) 6.636E+00 V
 * +e) 7.299E+00 V

9) In the circuit shown V=11.9 V, R1=2.75 &Omega;, R2=7.19 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * +a) 7.982E+00 W
 * -b) 8.780E+00 W
 * -c) 9.658E+00 W
 * -d) 1.062E+01 W
 * -e) 1.169E+01 W

Key: O0
1) A given battery has a 14 V emf and an internal resistance of 0.0842 &Omega;. If it is connected to a 0.835 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.455E+02 W
 * -b) 1.601E+02 W
 * -c) 1.761E+02 W
 * +d) 1.937E+02 W
 * -e) 2.131E+02 W

2) A battery with a terminal voltage of 6.49 V is connected to a circuit consisting of 3 18.0 &Omega; resistors and one 10.3 &Omega; resistor. What is the voltage drop across the 10.3 &Omega; resistor?


 * -a) 7.101E-01 V
 * -b) 7.811E-01 V
 * -c) 8.592E-01 V
 * -d) 9.451E-01 V
 * +e) 1.040E+00 V

3) Three resistors, R1 = 0.61 &Omega;, and R2 = R2 = 1.35 &Omega;, are connected in parallel to a 7.04 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 7.386E+01 W
 * +b) 8.125E+01 W
 * -c) 8.937E+01 W
 * -d) 9.831E+01 W
 * -e) 1.081E+02 W

4) In the circuit shown V=17.8 V, R1=2.27 &Omega;, R2=6.79 &Omega;, and R3=15.1 &Omega;. What is the power dissipated by R2?


 * -a) 1.446E+01 W
 * -b) 1.591E+01 W
 * -c) 1.750E+01 W
 * -d) 1.925E+01 W
 * +e) 2.117E+01 W

5) The resistances in the figure shown are R1= 1.33 &Omega;, R2= 1.72 &Omega;, and R2= 3.69 &Omega;. V1 and V3 are text 0.606 V and 3.31 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.608 V. What is the absolute value of the current through R1?


 * -a) 1.137E-01 A
 * -b) 1.251E-01 A
 * -c) 1.376E-01 A
 * +d) 1.514E-01 A
 * -e) 1.665E-01 A

6) Two sources of emf &epsilon;1=49.6 V, and  &epsilon;2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 3.055E+00 mA
 * +b) 3.360E+00 mA
 * -c) 3.696E+00 mA
 * -d) 4.066E+00 mA
 * -e) 4.472E+00 mA

7) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=16.9 V are oriented as shownin the circuit. The resistances are R1=3.3 k&Omega; and  R2=2.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.34 mA and I4=0.955 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 7.031E+00 V
 * +b) 7.734E+00 V
 * -c) 8.507E+00 V
 * -d) 9.358E+00 V
 * -e) 1.029E+01 V

8) Two sources of emf &epsilon;1=46.1 V, and  &epsilon;2=16.2 V are oriented as shownin the circuit. The resistances are R1=5.17 k&Omega; and  R2=2.06 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.97 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 1.309E+01 V
 * -b) 1.440E+01 V
 * +c) 1.584E+01 V
 * -d) 1.742E+01 V
 * -e) 1.917E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 554 V.  If the combined external and internal resistance is 228 &Omega and the capacitance is  93 mF, how long will it take for the capacitor's voltage to reach 450.0 V?


 * -a) 3.224E+01 s
 * +b) 3.547E+01 s
 * -c) 3.902E+01 s
 * -d) 4.292E+01 s
 * -e) 4.721E+01 s

Key: O1
1) In the circuit shown V=17.9 V, R1=1.3 &Omega;, R2=5.1 &Omega;, and R3=12.1 &Omega;. What is the power dissipated by R2?


 * -a) 2.543E+01 W
 * -b) 2.798E+01 W
 * -c) 3.077E+01 W
 * +d) 3.385E+01 W
 * -e) 3.724E+01 W

2) The resistances in the figure shown are R1= 2.04 &Omega;, R2= 1.19 &Omega;, and R2= 2.5 &Omega;. V1 and V3 are text 0.507 V and 3.07 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.602 V. What is the absolute value of the current through R1?


 * +a) 1.401E-01 A
 * -b) 1.542E-01 A
 * -c) 1.696E-01 A
 * -d) 1.865E-01 A
 * -e) 2.052E-01 A

3) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=13.6 V are oriented as shownin the circuit. The resistances are R1=2.86 k&Omega; and  R2=2.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.02 mA and I4=0.854 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * +a) 1.380E+01 V
 * -b) 1.518E+01 V
 * -c) 1.670E+01 V
 * -d) 1.837E+01 V
 * -e) 2.020E+01 V

4) Three resistors, R1 = 0.87 &Omega;, and R2 = R2 = 2.0 &Omega;, are connected in parallel to a 8.57 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 6.977E+01 W
 * -b) 7.674E+01 W
 * +c) 8.442E+01 W
 * -d) 9.286E+01 W
 * -e) 1.021E+02 W

5) A given battery has a 14 V emf and an internal resistance of 0.192 &Omega;. If it is connected to a 0.766 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.229E+02 W
 * -b) 1.352E+02 W
 * -c) 1.487E+02 W
 * +d) 1.636E+02 W
 * -e) 1.799E+02 W

6) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 439 V.  If the combined external and internal resistance is 221 &Omega and the capacitance is  54 mF, how long will it take for the capacitor's voltage to reach 350.0 V?


 * +a) 1.905E+01 s
 * -b) 2.095E+01 s
 * -c) 2.304E+01 s
 * -d) 2.535E+01 s
 * -e) 2.788E+01 s

7) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=8.29 V are oriented as shownin the circuit. The resistances are R1=3.43 k&Omega; and  R2=1.16 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.09 mA and I4=1.06 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 6.720E+00 V
 * -b) 7.392E+00 V
 * -c) 8.131E+00 V
 * -d) 8.944E+00 V
 * +e) 9.838E+00 V

8) A battery with a terminal voltage of 8.66 V is connected to a circuit consisting of 3 19.6 &Omega; resistors and one 10.6 &Omega; resistor. What is the voltage drop across the 10.6 &Omega; resistor?


 * -a) 1.202E+00 V
 * +b) 1.323E+00 V
 * -c) 1.455E+00 V
 * -d) 1.600E+00 V
 * -e) 1.761E+00 V

9) Two sources of emf &epsilon;1=13.6 V, and  &epsilon;2=6.53 V are oriented as shownin the circuit. The resistances are R1=2.89 k&Omega; and  R2=2.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.11 mA and I4=0.311 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 7.264E-01 mA
 * +b) 7.990E-01 mA
 * -c) 8.789E-01 mA
 * -d) 9.668E-01 mA
 * -e) 1.063E+00 mA

Key: O2
1) A given battery has a 14 V emf and an internal resistance of 0.132 &Omega;. If it is connected to a 0.689 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.656E+02 W
 * -b) 1.821E+02 W
 * +c) 2.003E+02 W
 * -d) 2.204E+02 W
 * -e) 2.424E+02 W

2) Two sources of emf &epsilon;1=20.6 V, and  &epsilon;2=9.53 V are oriented as shownin the circuit. The resistances are R1=5.46 k&Omega; and  R2=2.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.5 mA and I4=0.415 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 1.085E+00 mA
 * -b) 1.194E+00 mA
 * -c) 1.313E+00 mA
 * -d) 1.444E+00 mA
 * -e) 1.589E+00 mA

3) A battery with a terminal voltage of 8.01 V is connected to a circuit consisting of 3 22.1 &Omega; resistors and one 14.5 &Omega; resistor. What is the voltage drop across the 14.5 &Omega; resistor?


 * -a) 9.818E-01 V
 * -b) 1.080E+00 V
 * -c) 1.188E+00 V
 * -d) 1.307E+00 V
 * +e) 1.437E+00 V

4) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 439 V.  If the combined external and internal resistance is 221 &Omega and the capacitance is  54 mF, how long will it take for the capacitor's voltage to reach 350.0 V?


 * +a) 1.905E+01 s
 * -b) 2.095E+01 s
 * -c) 2.304E+01 s
 * -d) 2.535E+01 s
 * -e) 2.788E+01 s

5) Two sources of emf &epsilon;1=35.5 V, and  &epsilon;2=12.3 V are oriented as shownin the circuit. The resistances are R1=4.49 k&Omega; and  R2=1.53 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.63 mA and I4=0.972 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 1.093E+01 V
 * +b) 1.202E+01 V
 * -c) 1.322E+01 V
 * -d) 1.454E+01 V
 * -e) 1.600E+01 V

6) In the circuit shown V=15.4 V, R1=2.77 &Omega;, R2=6.07 &Omega;, and R3=14.5 &Omega;. What is the power dissipated by R2?


 * -a) 1.190E+01 W
 * -b) 1.309E+01 W
 * +c) 1.440E+01 W
 * -d) 1.584E+01 W
 * -e) 1.742E+01 W

7) Two sources of emf &epsilon;1=45.3 V, and  &epsilon;2=13.3 V are oriented as shownin the circuit. The resistances are R1=3.82 k&Omega; and  R2=1.5 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=6.17 mA and I4=1.11 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 1.177E+01 V
 * -b) 1.295E+01 V
 * -c) 1.424E+01 V
 * +d) 1.567E+01 V
 * -e) 1.723E+01 V

8) Three resistors, R1 = 0.686 &Omega;, and R2 = R2 = 1.58 &Omega;, are connected in parallel to a 8.97 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * +a) 1.173E+02 W
 * -b) 1.290E+02 W
 * -c) 1.419E+02 W
 * -d) 1.561E+02 W
 * -e) 1.717E+02 W

9) The resistances in the figure shown are R1= 2.42 &Omega;, R2= 1.09 &Omega;, and R2= 3.89 &Omega;. V1 and V3 are text 0.677 V and 1.86 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.745 V. What is the absolute value of the current through R1?


 * -a) 2.089E-01 A
 * -b) 2.298E-01 A
 * +c) 2.528E-01 A
 * -d) 2.781E-01 A
 * -e) 3.059E-01 A

Key: P0
1) A given battery has a 12 V emf and an internal resistance of 0.107 &Omega;. If it is connected to a 0.814 &Omega; resistor what is the power dissipated by that load?


 * +a) 1.382E+02 W
 * -b) 1.520E+02 W
 * -c) 1.672E+02 W
 * -d) 1.839E+02 W
 * -e) 2.023E+02 W

2) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 &Omega; resistors and one 9.58 &Omega; resistor. What is the voltage drop across the 9.58 &Omega; resistor?


 * -a) 1.677E+00 V
 * -b) 1.844E+00 V
 * +c) 2.029E+00 V
 * -d) 2.231E+00 V
 * -e) 2.455E+00 V

3) Three resistors, R1 = 0.624 &Omega;, and R2 = R2 = 1.37 &Omega;, are connected in parallel to a 7.46 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 7.371E+01 W
 * -b) 8.108E+01 W
 * +c) 8.919E+01 W
 * -d) 9.810E+01 W
 * -e) 1.079E+02 W

4) In the circuit shown V=16.1 V, R1=1.18 &Omega;, R2=5.28 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * -a) 2.172E+01 W
 * -b) 2.389E+01 W
 * -c) 2.628E+01 W
 * +d) 2.891E+01 W
 * -e) 3.180E+01 W

5) The resistances in the figure shown are R1= 1.1 &Omega;, R2= 1.55 &Omega;, and R2= 2.11 &Omega;. V1 and V3 are text 0.545 V and 3.22 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.744 V. What is the absolute value of the current through R1?


 * -a) 1.886E-01 A
 * +b) 2.075E-01 A
 * -c) 2.282E-01 A
 * -d) 2.510E-01 A
 * -e) 2.761E-01 A

6) Two sources of emf &epsilon;1=29.5 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=2.45 k&Omega; and  R2=1.96 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.03 mA and I4=0.783 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 2.247E+00 mA
 * -b) 2.472E+00 mA
 * -c) 2.719E+00 mA
 * -d) 2.991E+00 mA
 * -e) 3.290E+00 mA

7) Two sources of emf &epsilon;1=39.2 V, and  &epsilon;2=12.6 V are oriented as shownin the circuit. The resistances are R1=3.86 k&Omega; and  R2=1.89 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.05 mA and I4=0.701 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 8.687E+00 V
 * -b) 9.555E+00 V
 * -c) 1.051E+01 V
 * -d) 1.156E+01 V
 * +e) 1.272E+01 V

8) Two sources of emf &epsilon;1=14.3 V, and  &epsilon;2=5.6 V are oriented as shownin the circuit. The resistances are R1=5.31 k&Omega; and  R2=2.39 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.12 mA and I4=0.284 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 3.416E+00 V
 * -b) 3.757E+00 V
 * -c) 4.133E+00 V
 * +d) 4.546E+00 V
 * -e) 5.001E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 439 V.  If the combined external and internal resistance is 221 &Omega and the capacitance is  54 mF, how long will it take for the capacitor's voltage to reach 350.0 V?


 * +a) 1.905E+01 s
 * -b) 2.095E+01 s
 * -c) 2.304E+01 s
 * -d) 2.535E+01 s
 * -e) 2.788E+01 s

Key: P1
1) In the circuit shown V=15.4 V, R1=2.77 &Omega;, R2=6.07 &Omega;, and R3=14.5 &Omega;. What is the power dissipated by R2?


 * -a) 1.190E+01 W
 * -b) 1.309E+01 W
 * +c) 1.440E+01 W
 * -d) 1.584E+01 W
 * -e) 1.742E+01 W

2) Two sources of emf &epsilon;1=40.7 V, and  &epsilon;2=12.3 V are oriented as shownin the circuit. The resistances are R1=3.5 k&Omega; and  R2=1.94 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.42 mA and I4=0.932 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * +a) 1.440E+01 V
 * -b) 1.584E+01 V
 * -c) 1.742E+01 V
 * -d) 1.916E+01 V
 * -e) 2.108E+01 V

3) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 433 V.  If the combined external and internal resistance is 275 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 223.0 V?


 * -a) 1.104E+01 s
 * +b) 1.214E+01 s
 * -c) 1.335E+01 s
 * -d) 1.469E+01 s
 * -e) 1.616E+01 s

4) A battery with a terminal voltage of 10.7 V is connected to a circuit consisting of 2 24.5 &Omega; resistors and one 15.2 &Omega; resistor. What is the voltage drop across the 15.2 &Omega; resistor?


 * -a) 1.730E+00 V
 * -b) 1.903E+00 V
 * -c) 2.094E+00 V
 * -d) 2.303E+00 V
 * +e) 2.533E+00 V

5) A given battery has a 9 V emf and an internal resistance of 0.16 &Omega;. If it is connected to a 0.45 &Omega; resistor what is the power dissipated by that load?


 * -a) 6.691E+01 W
 * -b) 7.360E+01 W
 * -c) 8.096E+01 W
 * -d) 8.905E+01 W
 * +e) 9.796E+01 W

6) Two sources of emf &epsilon;1=36.3 V, and  &epsilon;2=12.9 V are oriented as shownin the circuit. The resistances are R1=4.28 k&Omega; and  R2=1.58 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.16 mA and I4=1.2 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 2.224E+00 mA
 * -b) 2.446E+00 mA
 * -c) 2.691E+00 mA
 * +d) 2.960E+00 mA
 * -e) 3.256E+00 mA

7) Three resistors, R1 = 1.41 &Omega;, and R2 = R2 = 3.17 &Omega;, are connected in parallel to a 5.89 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.681E+01 W
 * -b) 1.849E+01 W
 * -c) 2.033E+01 W
 * -d) 2.237E+01 W
 * +e) 2.460E+01 W

8) Two sources of emf &epsilon;1=30.3 V, and  &epsilon;2=8.6 V are oriented as shownin the circuit. The resistances are R1=3.81 k&Omega; and  R2=2.39 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.38 mA and I4=0.416 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 8.945E+00 V
 * +b) 9.840E+00 V
 * -c) 1.082E+01 V
 * -d) 1.191E+01 V
 * -e) 1.310E+01 V

9) The resistances in the figure shown are R1= 2.34 &Omega;, R2= 1.34 &Omega;, and R2= 2.94 &Omega;. V1 and V3 are text 0.609 V and 1.68 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.541 V. What is the absolute value of the current through R1?


 * -a) 1.464E-01 A
 * +b) 1.610E-01 A
 * -c) 1.772E-01 A
 * -d) 1.949E-01 A
 * -e) 2.144E-01 A

Key: P2
1) The resistances in the figure shown are R1= 1.18 &Omega;, R2= 0.878 &Omega;, and R2= 2.11 &Omega;. V1 and V3 are text 0.637 V and 3.51 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.547 V. What is the absolute value of the current through R1?


 * -a) 1.701E-01 A
 * +b) 1.871E-01 A
 * -c) 2.058E-01 A
 * -d) 2.264E-01 A
 * -e) 2.490E-01 A

2) A given battery has a 15 V emf and an internal resistance of 0.177 &Omega;. If it is connected to a 0.824 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.682E+02 W
 * +b) 1.850E+02 W
 * -c) 2.035E+02 W
 * -d) 2.239E+02 W
 * -e) 2.463E+02 W

3) In the circuit shown V=18.4 V, R1=1.64 &Omega;, R2=6.56 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * -a) 2.470E+01 W
 * +b) 2.717E+01 W
 * -c) 2.989E+01 W
 * -d) 3.288E+01 W
 * -e) 3.617E+01 W

4) Two sources of emf &epsilon;1=16.8 V, and  &epsilon;2=7.15 V are oriented as shownin the circuit. The resistances are R1=3.12 k&Omega; and  R2=1.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.95 mA and I4=0.603 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 4.108E+00 V
 * +b) 4.519E+00 V
 * -c) 4.970E+00 V
 * -d) 5.468E+00 V
 * -e) 6.014E+00 V

5) Three resistors, R1 = 0.672 &Omega;, and R2 = R2 = 1.52 &Omega;, are connected in parallel to a 5.34 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 2.898E+01 W
 * -b) 3.188E+01 W
 * -c) 3.507E+01 W
 * -d) 3.858E+01 W
 * +e) 4.243E+01 W

6) Two sources of emf &epsilon;1=17.3 V, and  &epsilon;2=6.46 V are oriented as shownin the circuit. The resistances are R1=2.54 k&Omega; and  R2=2.79 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.1 mA and I4=0.281 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 6.488E+00 V
 * +b) 7.137E+00 V
 * -c) 7.850E+00 V
 * -d) 8.635E+00 V
 * -e) 9.499E+00 V

7) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 &Omega; resistors and one 10.2 &Omega; resistor. What is the voltage drop across the 10.2 &Omega; resistor?


 * -a) 2.074E+00 V
 * -b) 2.282E+00 V
 * +c) 2.510E+00 V
 * -d) 2.761E+00 V
 * -e) 3.037E+00 V

8) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 130 V.  If the combined external and internal resistance is 109 &Omega and the capacitance is  59 mF, how long will it take for the capacitor's voltage to reach 69.9 V?


 * -a) 3.728E+00 s
 * -b) 4.101E+00 s
 * -c) 4.511E+00 s
 * +d) 4.962E+00 s
 * -e) 5.458E+00 s

9) Two sources of emf &epsilon;1=39.0 V, and  &epsilon;2=15.9 V are oriented as shownin the circuit. The resistances are R1=3.4 k&Omega; and  R2=2.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.58 mA and I4=0.978 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 2.150E+00 mA
 * -b) 2.365E+00 mA
 * +c) 2.602E+00 mA
 * -d) 2.862E+00 mA
 * -e) 3.148E+00 mA

Key: Q0
1) A given battery has a 13 V emf and an internal resistance of 0.106 &Omega;. If it is connected to a 0.752 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.569E+02 W
 * +b) 1.726E+02 W
 * -c) 1.899E+02 W
 * -d) 2.089E+02 W
 * -e) 2.298E+02 W

2) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 &Omega; resistors and one 9.58 &Omega; resistor. What is the voltage drop across the 9.58 &Omega; resistor?


 * -a) 1.677E+00 V
 * -b) 1.844E+00 V
 * +c) 2.029E+00 V
 * -d) 2.231E+00 V
 * -e) 2.455E+00 V

3) Three resistors, R1 = 0.548 &Omega;, and R2 = R2 = 1.24 &Omega;, are connected in parallel to a 7.16 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 7.029E+01 W
 * -b) 7.731E+01 W
 * -c) 8.505E+01 W
 * +d) 9.355E+01 W
 * -e) 1.029E+02 W

4) In the circuit shown V=17.9 V, R1=1.3 &Omega;, R2=5.1 &Omega;, and R3=12.1 &Omega;. What is the power dissipated by R2?


 * -a) 2.543E+01 W
 * -b) 2.798E+01 W
 * -c) 3.077E+01 W
 * +d) 3.385E+01 W
 * -e) 3.724E+01 W

5) The resistances in the figure shown are R1= 1.81 &Omega;, R2= 1.18 &Omega;, and R2= 2.62 &Omega;. V1 and V3 are text 0.628 V and 2.54 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.748 V. What is the absolute value of the current through R1?


 * -a) 1.552E-01 A
 * -b) 1.707E-01 A
 * -c) 1.878E-01 A
 * -d) 2.065E-01 A
 * +e) 2.272E-01 A

6) Two sources of emf &epsilon;1=30.5 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.79 k&Omega; and  R2=1.86 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.07 mA and I4=0.73 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 2.281E+00 mA
 * -b) 2.509E+00 mA
 * -c) 2.760E+00 mA
 * -d) 3.036E+00 mA
 * +e) 3.340E+00 mA

7) Two sources of emf &epsilon;1=27.1 V, and  &epsilon;2=8.04 V are oriented as shownin the circuit. The resistances are R1=2.94 k&Omega; and  R2=1.61 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.87 mA and I4=0.57 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 8.482E+00 V
 * +b) 9.330E+00 V
 * -c) 1.026E+01 V
 * -d) 1.129E+01 V
 * -e) 1.242E+01 V

8) Two sources of emf &epsilon;1=39.4 V, and  &epsilon;2=12.2 V are oriented as shownin the circuit. The resistances are R1=3.84 k&Omega; and  R2=2.01 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.71 mA and I4=0.669 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 8.825E+00 V
 * -b) 9.708E+00 V
 * -c) 1.068E+01 V
 * -d) 1.175E+01 V
 * +e) 1.292E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 351 V.  If the combined external and internal resistance is 148 &Omega and the capacitance is  60 mF, how long will it take for the capacitor's voltage to reach 227.0 V?


 * +a) 9.240E+00 s
 * -b) 1.016E+01 s
 * -c) 1.118E+01 s
 * -d) 1.230E+01 s
 * -e) 1.353E+01 s

Key: Q1
1) A battery with a terminal voltage of 14.6 V is connected to a circuit consisting of 2 21.7 &Omega; resistors and one 14.4 &Omega; resistor. What is the voltage drop across the 14.4 &Omega; resistor?


 * +a) 3.637E+00 V
 * -b) 4.001E+00 V
 * -c) 4.401E+00 V
 * -d) 4.841E+00 V
 * -e) 5.325E+00 V

2) In the circuit shown V=16.1 V, R1=1.18 &Omega;, R2=5.28 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * -a) 2.172E+01 W
 * -b) 2.389E+01 W
 * -c) 2.628E+01 W
 * +d) 2.891E+01 W
 * -e) 3.180E+01 W

3) A given battery has a 13 V emf and an internal resistance of 0.159 &Omega;. If it is connected to a 0.617 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.301E+02 W
 * -b) 1.431E+02 W
 * -c) 1.574E+02 W
 * +d) 1.732E+02 W
 * -e) 1.905E+02 W

4) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.842E+01 W
 * -b) 2.026E+01 W
 * +c) 2.228E+01 W
 * -d) 2.451E+01 W
 * -e) 2.696E+01 W

5) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=12.1 V are oriented as shownin the circuit. The resistances are R1=2.52 k&Omega; and  R2=1.22 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.14 mA and I4=1.19 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 7.805E+00 V
 * -b) 8.586E+00 V
 * -c) 9.444E+00 V
 * -d) 1.039E+01 V
 * +e) 1.143E+01 V

6) Two sources of emf &epsilon;1=38.8 V, and  &epsilon;2=14.9 V are oriented as shownin the circuit. The resistances are R1=5.83 k&Omega; and  R2=1.77 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.57 mA and I4=1.19 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 1.013E+01 V
 * -b) 1.115E+01 V
 * -c) 1.226E+01 V
 * +d) 1.349E+01 V
 * -e) 1.484E+01 V

7) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 433 V.  If the combined external and internal resistance is 275 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 223.0 V?


 * -a) 1.104E+01 s
 * +b) 1.214E+01 s
 * -c) 1.335E+01 s
 * -d) 1.469E+01 s
 * -e) 1.616E+01 s

8) Two sources of emf &epsilon;1=36.3 V, and  &epsilon;2=12.9 V are oriented as shownin the circuit. The resistances are R1=4.28 k&Omega; and  R2=1.58 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.16 mA and I4=1.2 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 2.224E+00 mA
 * -b) 2.446E+00 mA
 * -c) 2.691E+00 mA
 * +d) 2.960E+00 mA
 * -e) 3.256E+00 mA

9) The resistances in the figure shown are R1= 2.04 &Omega;, R2= 1.19 &Omega;, and R2= 2.5 &Omega;. V1 and V3 are text 0.507 V and 3.07 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.602 V. What is the absolute value of the current through R1?


 * +a) 1.401E-01 A
 * -b) 1.542E-01 A
 * -c) 1.696E-01 A
 * -d) 1.865E-01 A
 * -e) 2.052E-01 A

Key: Q2
1) In the circuit shown V=17.9 V, R1=1.68 &Omega;, R2=7.84 &Omega;, and R3=12.3 &Omega;. What is the power dissipated by R2?


 * +a) 2.240E+01 W
 * -b) 2.464E+01 W
 * -c) 2.710E+01 W
 * -d) 2.981E+01 W
 * -e) 3.279E+01 W

2) Two sources of emf &epsilon;1=27.9 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=2.82 k&Omega; and  R2=2.25 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.1 mA and I4=0.676 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 8.334E+00 V
 * -b) 9.167E+00 V
 * +c) 1.008E+01 V
 * -d) 1.109E+01 V
 * -e) 1.220E+01 V

3) The resistances in the figure shown are R1= 1.6 &Omega;, R2= 1.3 &Omega;, and R2= 2.22 &Omega;. V1 and V3 are text 0.55 V and 3.18 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.743 V. What is the absolute value of the current through R1?


 * +a) 1.721E-01 A
 * -b) 1.893E-01 A
 * -c) 2.082E-01 A
 * -d) 2.291E-01 A
 * -e) 2.520E-01 A

4) Three resistors, R1 = 0.87 &Omega;, and R2 = R2 = 2.0 &Omega;, are connected in parallel to a 8.57 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 6.977E+01 W
 * -b) 7.674E+01 W
 * +c) 8.442E+01 W
 * -d) 9.286E+01 W
 * -e) 1.021E+02 W

5) A battery with a terminal voltage of 14.9 V is connected to a circuit consisting of 2 16.3 &Omega; resistors and one 9.8 &Omega; resistor. What is the voltage drop across the 9.8 &Omega; resistor?


 * -a) 2.352E+00 V
 * -b) 2.587E+00 V
 * -c) 2.846E+00 V
 * -d) 3.131E+00 V
 * +e) 3.444E+00 V

6) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 351 V.  If the combined external and internal resistance is 148 &Omega and the capacitance is  60 mF, how long will it take for the capacitor's voltage to reach 227.0 V?


 * +a) 9.240E+00 s
 * -b) 1.016E+01 s
 * -c) 1.118E+01 s
 * -d) 1.230E+01 s
 * -e) 1.353E+01 s

7) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=11.5 V are oriented as shownin the circuit. The resistances are R1=2.13 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.11 mA and I4=0.746 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 4.275E+00 V
 * -b) 4.703E+00 V
 * +c) 5.173E+00 V
 * -d) 5.691E+00 V
 * -e) 6.260E+00 V

8) Two sources of emf &epsilon;1=44.4 V, and  &epsilon;2=16.8 V are oriented as shownin the circuit. The resistances are R1=4.58 k&Omega; and  R2=1.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=8.43 mA and I4=1.46 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 6.970E+00 mA
 * -b) 7.667E+00 mA
 * -c) 8.434E+00 mA
 * -d) 9.277E+00 mA
 * -e) 1.020E+01 mA

9) A given battery has a 15 V emf and an internal resistance of 0.162 &Omega;. If it is connected to a 0.561 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.814E+02 W
 * -b) 1.996E+02 W
 * -c) 2.195E+02 W
 * +d) 2.415E+02 W
 * -e) 2.656E+02 W

Key: R0
1) A given battery has a 15 V emf and an internal resistance of 0.113 &Omega;. If it is connected to a 0.645 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.898E+02 W
 * -b) 2.087E+02 W
 * -c) 2.296E+02 W
 * +d) 2.526E+02 W
 * -e) 2.778E+02 W

2) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 &Omega; resistors and one 12.8 &Omega; resistor. What is the voltage drop across the 12.8 &Omega; resistor?


 * +a) 2.467E+00 V
 * -b) 2.714E+00 V
 * -c) 2.985E+00 V
 * -d) 3.283E+00 V
 * -e) 3.612E+00 V

3) Three resistors, R1 = 1.82 &Omega;, and R2 = R2 = 4.14 &Omega;, are connected in parallel to a 5.65 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * +a) 1.754E+01 W
 * -b) 1.929E+01 W
 * -c) 2.122E+01 W
 * -d) 2.335E+01 W
 * -e) 2.568E+01 W

4) In the circuit shown V=13.5 V, R1=2.66 &Omega;, R2=7.29 &Omega;, and R3=14.5 &Omega;. What is the power dissipated by R2?


 * -a) 7.123E+00 W
 * -b) 7.835E+00 W
 * -c) 8.618E+00 W
 * -d) 9.480E+00 W
 * +e) 1.043E+01 W

5) The resistances in the figure shown are R1= 1.81 &Omega;, R2= 1.18 &Omega;, and R2= 2.62 &Omega;. V1 and V3 are text 0.628 V and 2.54 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.748 V. What is the absolute value of the current through R1?


 * -a) 1.552E-01 A
 * -b) 1.707E-01 A
 * -c) 1.878E-01 A
 * -d) 2.065E-01 A
 * +e) 2.272E-01 A

6) Two sources of emf &epsilon;1=20.6 V, and  &epsilon;2=9.53 V are oriented as shownin the circuit. The resistances are R1=5.46 k&Omega; and  R2=2.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.5 mA and I4=0.415 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 1.085E+00 mA
 * -b) 1.194E+00 mA
 * -c) 1.313E+00 mA
 * -d) 1.444E+00 mA
 * -e) 1.589E+00 mA

7) Two sources of emf &epsilon;1=28.6 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=3.73 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.27 mA and I4=0.774 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 6.641E+00 V
 * +b) 7.305E+00 V
 * -c) 8.035E+00 V
 * -d) 8.839E+00 V
 * -e) 9.723E+00 V

8) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=13.6 V are oriented as shownin the circuit. The resistances are R1=2.86 k&Omega; and  R2=2.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.02 mA and I4=0.854 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * +a) 1.380E+01 V
 * -b) 1.518E+01 V
 * -c) 1.670E+01 V
 * -d) 1.837E+01 V
 * -e) 2.020E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 301 V.  If the combined external and internal resistance is 245 &Omega and the capacitance is  63 mF, how long will it take for the capacitor's voltage to reach 192.0 V?


 * -a) 1.296E+01 s
 * -b) 1.425E+01 s
 * +c) 1.568E+01 s
 * -d) 1.725E+01 s
 * -e) 1.897E+01 s

Key: R1
1) The resistances in the figure shown are R1= 1.57 &Omega;, R2= 1.25 &Omega;, and R2= 3.38 &Omega;. V1 and V3 are text 0.585 V and 2.91 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.55 V. What is the absolute value of the current through R1?


 * -a) 1.427E-01 A
 * -b) 1.569E-01 A
 * +c) 1.726E-01 A
 * -d) 1.899E-01 A
 * -e) 2.089E-01 A

2) Three resistors, R1 = 1.23 &Omega;, and R2 = R2 = 2.73 &Omega;, are connected in parallel to a 5.41 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.788E+01 W
 * -b) 1.967E+01 W
 * -c) 2.163E+01 W
 * +d) 2.380E+01 W
 * -e) 2.617E+01 W

3) In the circuit shown V=17.5 V, R1=2.34 &Omega;, R2=7.1 &Omega;, and R3=15.3 &Omega;. What is the power dissipated by R2?


 * -a) 1.784E+01 W
 * +b) 1.963E+01 W
 * -c) 2.159E+01 W
 * -d) 2.375E+01 W
 * -e) 2.612E+01 W

4) Two sources of emf &epsilon;1=52.7 V, and  &epsilon;2=17.5 V are oriented as shownin the circuit. The resistances are R1=5.86 k&Omega; and  R2=2.08 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.48 mA and I4=0.988 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * +a) 2.064E+01 V
 * -b) 2.270E+01 V
 * -c) 2.497E+01 V
 * -d) 2.747E+01 V
 * -e) 3.021E+01 V

5) Two sources of emf &epsilon;1=42.2 V, and  &epsilon;2=17.8 V are oriented as shownin the circuit. The resistances are R1=4.2 k&Omega; and  R2=2.83 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.5 mA and I4=0.749 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 1.056E+01 V
 * -b) 1.161E+01 V
 * -c) 1.277E+01 V
 * +d) 1.405E+01 V
 * -e) 1.545E+01 V

6) A given battery has a 13 V emf and an internal resistance of 0.161 &Omega;. If it is connected to a 0.814 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.087E+02 W
 * -b) 1.196E+02 W
 * -c) 1.316E+02 W
 * +d) 1.447E+02 W
 * -e) 1.592E+02 W

7) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 2 20.3 &Omega; resistors and one 13.1 &Omega; resistor. What is the voltage drop across the 13.1 &Omega; resistor?


 * -a) 2.843E+00 V
 * -b) 3.127E+00 V
 * +c) 3.440E+00 V
 * -d) 3.784E+00 V
 * -e) 4.162E+00 V

8) Two sources of emf &epsilon;1=49.6 V, and  &epsilon;2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 3.055E+00 mA
 * +b) 3.360E+00 mA
 * -c) 3.696E+00 mA
 * -d) 4.066E+00 mA
 * -e) 4.472E+00 mA

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 505 V.  If the combined external and internal resistance is 189 &Omega and the capacitance is  74 mF, how long will it take for the capacitor's voltage to reach 374.0 V?


 * -a) 1.560E+01 s
 * -b) 1.716E+01 s
 * +c) 1.887E+01 s
 * -d) 2.076E+01 s
 * -e) 2.284E+01 s

Key: R2
1) In the circuit shown V=18.4 V, R1=1.64 &Omega;, R2=6.56 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * -a) 2.470E+01 W
 * +b) 2.717E+01 W
 * -c) 2.989E+01 W
 * -d) 3.288E+01 W
 * -e) 3.617E+01 W

2) Two sources of emf &epsilon;1=43.0 V, and  &epsilon;2=13.8 V are oriented as shownin the circuit. The resistances are R1=3.97 k&Omega; and  R2=1.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=6.25 mA and I4=1.82 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 3.661E+00 mA
 * -b) 4.027E+00 mA
 * +c) 4.430E+00 mA
 * -d) 4.873E+00 mA
 * -e) 5.360E+00 mA

3) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 543 V.  If the combined external and internal resistance is 201 &Omega and the capacitance is  82 mF, how long will it take for the capacitor's voltage to reach 281.0 V?


 * -a) 9.024E+00 s
 * -b) 9.927E+00 s
 * -c) 1.092E+01 s
 * +d) 1.201E+01 s
 * -e) 1.321E+01 s

4) A given battery has a 9 V emf and an internal resistance of 0.141 &Omega;. If it is connected to a 0.663 &Omega; resistor what is the power dissipated by that load?


 * -a) 5.674E+01 W
 * -b) 6.242E+01 W
 * -c) 6.866E+01 W
 * -d) 7.553E+01 W
 * +e) 8.308E+01 W

5) A battery with a terminal voltage of 8.66 V is connected to a circuit consisting of 3 19.6 &Omega; resistors and one 10.6 &Omega; resistor. What is the voltage drop across the 10.6 &Omega; resistor?


 * -a) 1.202E+00 V
 * +b) 1.323E+00 V
 * -c) 1.455E+00 V
 * -d) 1.600E+00 V
 * -e) 1.761E+00 V

6) Three resistors, R1 = 1.39 &Omega;, and R2 = R2 = 3.06 &Omega;, are connected in parallel to a 6.21 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 2.293E+01 W
 * -b) 2.522E+01 W
 * +c) 2.774E+01 W
 * -d) 3.052E+01 W
 * -e) 3.357E+01 W

7) Two sources of emf &epsilon;1=27.1 V, and  &epsilon;2=8.04 V are oriented as shownin the circuit. The resistances are R1=2.94 k&Omega; and  R2=1.61 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.87 mA and I4=0.57 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 8.482E+00 V
 * +b) 9.330E+00 V
 * -c) 1.026E+01 V
 * -d) 1.129E+01 V
 * -e) 1.242E+01 V

8) The resistances in the figure shown are R1= 2.67 &Omega;, R2= 1.78 &Omega;, and R2= 3.63 &Omega;. V1 and V3 are text 0.448 V and 2.29 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.656 V. What is the absolute value of the current through R1?


 * -a) 9.287E-02 A
 * -b) 1.022E-01 A
 * -c) 1.124E-01 A
 * +d) 1.236E-01 A
 * -e) 1.360E-01 A

9) Two sources of emf &epsilon;1=58.5 V, and  &epsilon;2=17.3 V are oriented as shownin the circuit. The resistances are R1=3.06 k&Omega; and  R2=1.88 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.25 mA and I4=1.25 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 1.981E+01 V
 * +b) 2.179E+01 V
 * -c) 2.397E+01 V
 * -d) 2.637E+01 V
 * -e) 2.901E+01 V

Key: S0
1) A given battery has a 15 V emf and an internal resistance of 0.113 &Omega;. If it is connected to a 0.645 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.898E+02 W
 * -b) 2.087E+02 W
 * -c) 2.296E+02 W
 * +d) 2.526E+02 W
 * -e) 2.778E+02 W

2) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 &Omega; resistors and one 10.2 &Omega; resistor. What is the voltage drop across the 10.2 &Omega; resistor?


 * -a) 2.074E+00 V
 * -b) 2.282E+00 V
 * +c) 2.510E+00 V
 * -d) 2.761E+00 V
 * -e) 3.037E+00 V

3) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.842E+01 W
 * -b) 2.026E+01 W
 * +c) 2.228E+01 W
 * -d) 2.451E+01 W
 * -e) 2.696E+01 W

4) In the circuit shown V=17.9 V, R1=1.3 &Omega;, R2=5.1 &Omega;, and R3=12.1 &Omega;. What is the power dissipated by R2?


 * -a) 2.543E+01 W
 * -b) 2.798E+01 W
 * -c) 3.077E+01 W
 * +d) 3.385E+01 W
 * -e) 3.724E+01 W

5) The resistances in the figure shown are R1= 1.33 &Omega;, R2= 1.72 &Omega;, and R2= 3.69 &Omega;. V1 and V3 are text 0.606 V and 3.31 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.608 V. What is the absolute value of the current through R1?


 * -a) 1.137E-01 A
 * -b) 1.251E-01 A
 * -c) 1.376E-01 A
 * +d) 1.514E-01 A
 * -e) 1.665E-01 A

6) Two sources of emf &epsilon;1=24.9 V, and  &epsilon;2=10.1 V are oriented as shownin the circuit. The resistances are R1=2.32 k&Omega; and  R2=2.31 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.74 mA and I4=0.444 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 1.725E+00 mA
 * -b) 1.898E+00 mA
 * -c) 2.087E+00 mA
 * +d) 2.296E+00 mA
 * -e) 2.526E+00 mA

7) Two sources of emf &epsilon;1=30.6 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.46 k&Omega; and  R2=2.77 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.97 mA and I4=0.643 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 4.986E+00 V
 * -b) 5.484E+00 V
 * -c) 6.033E+00 V
 * -d) 6.636E+00 V
 * +e) 7.299E+00 V

8) Two sources of emf &epsilon;1=34.7 V, and  &epsilon;2=13.9 V are oriented as shownin the circuit. The resistances are R1=3.68 k&Omega; and  R2=1.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.68 mA and I4=0.933 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 9.286E+00 V
 * -b) 1.021E+01 V
 * -c) 1.124E+01 V
 * +d) 1.236E+01 V
 * -e) 1.360E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 569 V.  If the combined external and internal resistance is 137 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 419.0 V?


 * -a) 1.043E+01 s
 * -b) 1.147E+01 s
 * -c) 1.262E+01 s
 * +d) 1.388E+01 s
 * -e) 1.527E+01 s

Key: S1
1) In the circuit shown V=15.2 V, R1=1.6 &Omega;, R2=7.89 &Omega;, and R3=15.3 &Omega;. What is the power dissipated by R2?


 * +a) 1.713E+01 W
 * -b) 1.885E+01 W
 * -c) 2.073E+01 W
 * -d) 2.280E+01 W
 * -e) 2.508E+01 W

2) Three resistors, R1 = 1.39 &Omega;, and R2 = R2 = 3.06 &Omega;, are connected in parallel to a 6.21 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 2.293E+01 W
 * -b) 2.522E+01 W
 * +c) 2.774E+01 W
 * -d) 3.052E+01 W
 * -e) 3.357E+01 W

3) Two sources of emf &epsilon;1=40.6 V, and  &epsilon;2=13.5 V are oriented as shownin the circuit. The resistances are R1=4.35 k&Omega; and  R2=2.44 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.73 mA and I4=0.78 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 1.332E+00 mA
 * -b) 1.465E+00 mA
 * -c) 1.612E+00 mA
 * -d) 1.773E+00 mA
 * +e) 1.950E+00 mA

4) A battery with a terminal voltage of 6.49 V is connected to a circuit consisting of 3 18.0 &Omega; resistors and one 10.3 &Omega; resistor. What is the voltage drop across the 10.3 &Omega; resistor?


 * -a) 7.101E-01 V
 * -b) 7.811E-01 V
 * -c) 8.592E-01 V
 * -d) 9.451E-01 V
 * +e) 1.040E+00 V

5) The resistances in the figure shown are R1= 1.81 &Omega;, R2= 1.18 &Omega;, and R2= 2.62 &Omega;. V1 and V3 are text 0.628 V and 2.54 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.748 V. What is the absolute value of the current through R1?


 * -a) 1.552E-01 A
 * -b) 1.707E-01 A
 * -c) 1.878E-01 A
 * -d) 2.065E-01 A
 * +e) 2.272E-01 A

6) Two sources of emf &epsilon;1=27.1 V, and  &epsilon;2=8.04 V are oriented as shownin the circuit. The resistances are R1=2.94 k&Omega; and  R2=1.61 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.87 mA and I4=0.57 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 8.482E+00 V
 * +b) 9.330E+00 V
 * -c) 1.026E+01 V
 * -d) 1.129E+01 V
 * -e) 1.242E+01 V

7) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 558 V.  If the combined external and internal resistance is 198 &Omega and the capacitance is  80 mF, how long will it take for the capacitor's voltage to reach 345.0 V?


 * -a) 1.146E+01 s
 * -b) 1.261E+01 s
 * -c) 1.387E+01 s
 * +d) 1.525E+01 s
 * -e) 1.678E+01 s

8) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=13.6 V are oriented as shownin the circuit. The resistances are R1=2.86 k&Omega; and  R2=2.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.02 mA and I4=0.854 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * +a) 1.380E+01 V
 * -b) 1.518E+01 V
 * -c) 1.670E+01 V
 * -d) 1.837E+01 V
 * -e) 2.020E+01 V

9) A given battery has a 9 V emf and an internal resistance of 0.141 &Omega;. If it is connected to a 0.663 &Omega; resistor what is the power dissipated by that load?


 * -a) 5.674E+01 W
 * -b) 6.242E+01 W
 * -c) 6.866E+01 W
 * -d) 7.553E+01 W
 * +e) 8.308E+01 W

Key: S2
1) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=14.4 V are oriented as shownin the circuit. The resistances are R1=4.33 k&Omega; and  R2=1.65 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.59 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 9.142E+00 V
 * -b) 1.006E+01 V
 * +c) 1.106E+01 V
 * -d) 1.217E+01 V
 * -e) 1.338E+01 V

2) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 554 V.  If the combined external and internal resistance is 228 &Omega and the capacitance is  93 mF, how long will it take for the capacitor's voltage to reach 450.0 V?


 * -a) 3.224E+01 s
 * +b) 3.547E+01 s
 * -c) 3.902E+01 s
 * -d) 4.292E+01 s
 * -e) 4.721E+01 s

3) Two sources of emf &epsilon;1=45.3 V, and  &epsilon;2=13.3 V are oriented as shownin the circuit. The resistances are R1=3.82 k&Omega; and  R2=1.5 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=6.17 mA and I4=1.11 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 1.177E+01 V
 * -b) 1.295E+01 V
 * -c) 1.424E+01 V
 * +d) 1.567E+01 V
 * -e) 1.723E+01 V

4) A given battery has a 11 V emf and an internal resistance of 0.0998 &Omega;. If it is connected to a 0.417 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.419E+02 W
 * -b) 1.561E+02 W
 * -c) 1.717E+02 W
 * +d) 1.889E+02 W
 * -e) 2.078E+02 W

5) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 2 20.3 &Omega; resistors and one 13.1 &Omega; resistor. What is the voltage drop across the 13.1 &Omega; resistor?


 * -a) 2.843E+00 V
 * -b) 3.127E+00 V
 * +c) 3.440E+00 V
 * -d) 3.784E+00 V
 * -e) 4.162E+00 V

6) In the circuit shown V=19.6 V, R1=1.45 &Omega;, R2=7.85 &Omega;, and R3=15.8 &Omega;. What is the power dissipated by R2?


 * -a) 2.730E+01 W
 * +b) 3.003E+01 W
 * -c) 3.304E+01 W
 * -d) 3.634E+01 W
 * -e) 3.998E+01 W

7) The resistances in the figure shown are R1= 2.67 &Omega;, R2= 1.78 &Omega;, and R2= 3.63 &Omega;. V1 and V3 are text 0.448 V and 2.29 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.656 V. What is the absolute value of the current through R1?


 * -a) 9.287E-02 A
 * -b) 1.022E-01 A
 * -c) 1.124E-01 A
 * +d) 1.236E-01 A
 * -e) 1.360E-01 A

8) Two sources of emf &epsilon;1=24.9 V, and  &epsilon;2=10.1 V are oriented as shownin the circuit. The resistances are R1=2.32 k&Omega; and  R2=2.31 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.74 mA and I4=0.444 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 1.725E+00 mA
 * -b) 1.898E+00 mA
 * -c) 2.087E+00 mA
 * +d) 2.296E+00 mA
 * -e) 2.526E+00 mA

9) Three resistors, R1 = 1.74 &Omega;, and R2 = R2 = 3.92 &Omega;, are connected in parallel to a 8.5 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 2.836E+01 W
 * -b) 3.120E+01 W
 * -c) 3.432E+01 W
 * -d) 3.775E+01 W
 * +e) 4.152E+01 W

Key: T0
1) A given battery has a 15 V emf and an internal resistance of 0.162 &Omega;. If it is connected to a 0.561 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.814E+02 W
 * -b) 1.996E+02 W
 * -c) 2.195E+02 W
 * +d) 2.415E+02 W
 * -e) 2.656E+02 W

2) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 &Omega; resistors and one 12.8 &Omega; resistor. What is the voltage drop across the 12.8 &Omega; resistor?


 * +a) 2.467E+00 V
 * -b) 2.714E+00 V
 * -c) 2.985E+00 V
 * -d) 3.283E+00 V
 * -e) 3.612E+00 V

3) Three resistors, R1 = 0.686 &Omega;, and R2 = R2 = 1.58 &Omega;, are connected in parallel to a 8.97 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * +a) 1.173E+02 W
 * -b) 1.290E+02 W
 * -c) 1.419E+02 W
 * -d) 1.561E+02 W
 * -e) 1.717E+02 W

4) In the circuit shown V=11.8 V, R1=2.38 &Omega;, R2=5.11 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * -a) 8.489E+00 W
 * -b) 9.338E+00 W
 * +c) 1.027E+01 W
 * -d) 1.130E+01 W
 * -e) 1.243E+01 W

5) The resistances in the figure shown are R1= 2.54 &Omega;, R2= 1.15 &Omega;, and R2= 2.9 &Omega;. V1 and V3 are text 0.446 V and 3.39 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.744 V. What is the absolute value of the current through R1?


 * +a) 1.285E-01 A
 * -b) 1.414E-01 A
 * -c) 1.555E-01 A
 * -d) 1.711E-01 A
 * -e) 1.882E-01 A

6) Two sources of emf &epsilon;1=30.5 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.79 k&Omega; and  R2=1.86 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.07 mA and I4=0.73 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 2.281E+00 mA
 * -b) 2.509E+00 mA
 * -c) 2.760E+00 mA
 * -d) 3.036E+00 mA
 * +e) 3.340E+00 mA

7) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=16.9 V are oriented as shownin the circuit. The resistances are R1=3.3 k&Omega; and  R2=2.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.34 mA and I4=0.955 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 7.031E+00 V
 * +b) 7.734E+00 V
 * -c) 8.507E+00 V
 * -d) 9.358E+00 V
 * -e) 1.029E+01 V

8) Two sources of emf &epsilon;1=42.2 V, and  &epsilon;2=17.8 V are oriented as shownin the circuit. The resistances are R1=4.2 k&Omega; and  R2=2.83 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.5 mA and I4=0.749 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 1.056E+01 V
 * -b) 1.161E+01 V
 * -c) 1.277E+01 V
 * +d) 1.405E+01 V
 * -e) 1.545E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 190 V.  If the combined external and internal resistance is 255 &Omega and the capacitance is  54 mF, how long will it take for the capacitor's voltage to reach 101.0 V?


 * +a) 1.044E+01 s
 * -b) 1.149E+01 s
 * -c) 1.264E+01 s
 * -d) 1.390E+01 s
 * -e) 1.529E+01 s

Key: T1
1) Two sources of emf &epsilon;1=18.6 V, and  &epsilon;2=5.63 V are oriented as shownin the circuit. The resistances are R1=3.9 k&Omega; and  R2=1.1 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.41 mA and I4=0.614 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 4.342E+00 V
 * -b) 4.776E+00 V
 * -c) 5.254E+00 V
 * +d) 5.779E+00 V
 * -e) 6.357E+00 V

2) Two sources of emf &epsilon;1=18.2 V, and  &epsilon;2=6.59 V are oriented as shownin the circuit. The resistances are R1=5.47 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.64 mA and I4=0.341 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 1.299E+00 mA
 * -b) 1.429E+00 mA
 * -c) 1.572E+00 mA
 * -d) 1.729E+00 mA
 * -e) 1.902E+00 mA

3) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 &Omega; resistors and one 9.58 &Omega; resistor. What is the voltage drop across the 9.58 &Omega; resistor?


 * -a) 1.677E+00 V
 * -b) 1.844E+00 V
 * +c) 2.029E+00 V
 * -d) 2.231E+00 V
 * -e) 2.455E+00 V

4) The resistances in the figure shown are R1= 2.34 &Omega;, R2= 1.34 &Omega;, and R2= 2.94 &Omega;. V1 and V3 are text 0.609 V and 1.68 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.541 V. What is the absolute value of the current through R1?


 * -a) 1.464E-01 A
 * +b) 1.610E-01 A
 * -c) 1.772E-01 A
 * -d) 1.949E-01 A
 * -e) 2.144E-01 A

5) Three resistors, R1 = 0.855 &Omega;, and R2 = R2 = 1.91 &Omega;, are connected in parallel to a 6.97 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * +a) 5.682E+01 W
 * -b) 6.250E+01 W
 * -c) 6.875E+01 W
 * -d) 7.563E+01 W
 * -e) 8.319E+01 W

6) A given battery has a 15 V emf and an internal resistance of 0.162 &Omega;. If it is connected to a 0.561 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.814E+02 W
 * -b) 1.996E+02 W
 * -c) 2.195E+02 W
 * +d) 2.415E+02 W
 * -e) 2.656E+02 W

7) Two sources of emf &epsilon;1=35.5 V, and  &epsilon;2=12.3 V are oriented as shownin the circuit. The resistances are R1=4.49 k&Omega; and  R2=1.53 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.63 mA and I4=0.972 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 1.093E+01 V
 * +b) 1.202E+01 V
 * -c) 1.322E+01 V
 * -d) 1.454E+01 V
 * -e) 1.600E+01 V

8) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 129 V.  If the combined external and internal resistance is 169 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 109.0 V?


 * -a) 2.177E+01 s
 * +b) 2.394E+01 s
 * -c) 2.634E+01 s
 * -d) 2.897E+01 s
 * -e) 3.187E+01 s

9) In the circuit shown V=15.2 V, R1=1.6 &Omega;, R2=7.89 &Omega;, and R3=15.3 &Omega;. What is the power dissipated by R2?


 * +a) 1.713E+01 W
 * -b) 1.885E+01 W
 * -c) 2.073E+01 W
 * -d) 2.280E+01 W
 * -e) 2.508E+01 W

Key: T2
1) In the circuit shown V=10.9 V, R1=1.68 &Omega;, R2=7.52 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * -a) 7.827E+00 W
 * +b) 8.610E+00 W
 * -c) 9.470E+00 W
 * -d) 1.042E+01 W
 * -e) 1.146E+01 W

2) A given battery has a 10 V emf and an internal resistance of 0.119 &Omega;. If it is connected to a 0.445 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.272E+02 W
 * +b) 1.399E+02 W
 * -c) 1.539E+02 W
 * -d) 1.693E+02 W
 * -e) 1.862E+02 W

3) Three resistors, R1 = 1.39 &Omega;, and R2 = R2 = 3.06 &Omega;, are connected in parallel to a 6.21 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 2.293E+01 W
 * -b) 2.522E+01 W
 * +c) 2.774E+01 W
 * -d) 3.052E+01 W
 * -e) 3.357E+01 W

4) A battery with a terminal voltage of 12.4 V is connected to a circuit consisting of 3 21.6 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * -a) 1.333E+00 V
 * -b) 1.466E+00 V
 * -c) 1.612E+00 V
 * -d) 1.774E+00 V
 * +e) 1.951E+00 V

5) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=15.7 V are oriented as shownin the circuit. The resistances are R1=2.24 k&Omega; and  R2=2.23 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.01 mA and I4=0.86 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 1.955E+00 mA
 * +b) 2.150E+00 mA
 * -c) 2.365E+00 mA
 * -d) 2.601E+00 mA
 * -e) 2.862E+00 mA

6) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=11.5 V are oriented as shownin the circuit. The resistances are R1=2.13 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.11 mA and I4=0.746 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 4.275E+00 V
 * -b) 4.703E+00 V
 * +c) 5.173E+00 V
 * -d) 5.691E+00 V
 * -e) 6.260E+00 V

7) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=13.6 V are oriented as shownin the circuit. The resistances are R1=2.86 k&Omega; and  R2=2.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.02 mA and I4=0.854 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * +a) 1.380E+01 V
 * -b) 1.518E+01 V
 * -c) 1.670E+01 V
 * -d) 1.837E+01 V
 * -e) 2.020E+01 V

8) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 558 V.  If the combined external and internal resistance is 198 &Omega and the capacitance is  80 mF, how long will it take for the capacitor's voltage to reach 345.0 V?


 * -a) 1.146E+01 s
 * -b) 1.261E+01 s
 * -c) 1.387E+01 s
 * +d) 1.525E+01 s
 * -e) 1.678E+01 s

9) The resistances in the figure shown are R1= 1.81 &Omega;, R2= 1.18 &Omega;, and R2= 2.62 &Omega;. V1 and V3 are text 0.628 V and 2.54 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.748 V. What is the absolute value of the current through R1?


 * -a) 1.552E-01 A
 * -b) 1.707E-01 A
 * -c) 1.878E-01 A
 * -d) 2.065E-01 A
 * +e) 2.272E-01 A

Key: U0
1) A given battery has a 14 V emf and an internal resistance of 0.198 &Omega;. If it is connected to a 0.534 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.776E+02 W
 * +b) 1.953E+02 W
 * -c) 2.149E+02 W
 * -d) 2.364E+02 W
 * -e) 2.600E+02 W

2) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * +a) 1.234E+00 V
 * -b) 1.358E+00 V
 * -c) 1.493E+00 V
 * -d) 1.643E+00 V
 * -e) 1.807E+00 V

3) Three resistors, R1 = 1.74 &Omega;, and R2 = R2 = 3.92 &Omega;, are connected in parallel to a 8.5 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 2.836E+01 W
 * -b) 3.120E+01 W
 * -c) 3.432E+01 W
 * -d) 3.775E+01 W
 * +e) 4.152E+01 W

4) In the circuit shown V=11.8 V, R1=2.38 &Omega;, R2=5.11 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * -a) 8.489E+00 W
 * -b) 9.338E+00 W
 * +c) 1.027E+01 W
 * -d) 1.130E+01 W
 * -e) 1.243E+01 W

5) The resistances in the figure shown are R1= 2.42 &Omega;, R2= 1.09 &Omega;, and R2= 3.89 &Omega;. V1 and V3 are text 0.677 V and 1.86 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.745 V. What is the absolute value of the current through R1?


 * -a) 2.089E-01 A
 * -b) 2.298E-01 A
 * +c) 2.528E-01 A
 * -d) 2.781E-01 A
 * -e) 3.059E-01 A

6) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=15.7 V are oriented as shownin the circuit. The resistances are R1=2.24 k&Omega; and  R2=2.23 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.01 mA and I4=0.86 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 1.955E+00 mA
 * +b) 2.150E+00 mA
 * -c) 2.365E+00 mA
 * -d) 2.601E+00 mA
 * -e) 2.862E+00 mA

7) Two sources of emf &epsilon;1=35.5 V, and  &epsilon;2=12.3 V are oriented as shownin the circuit. The resistances are R1=4.49 k&Omega; and  R2=1.53 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.63 mA and I4=0.972 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 1.093E+01 V
 * +b) 1.202E+01 V
 * -c) 1.322E+01 V
 * -d) 1.454E+01 V
 * -e) 1.600E+01 V

8) Two sources of emf &epsilon;1=24.4 V, and  &epsilon;2=6.73 V are oriented as shownin the circuit. The resistances are R1=5.7 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.36 mA and I4=0.418 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 5.418E+00 V
 * -b) 5.960E+00 V
 * -c) 6.556E+00 V
 * -d) 7.212E+00 V
 * +e) 7.933E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 301 V.  If the combined external and internal resistance is 245 &Omega and the capacitance is  63 mF, how long will it take for the capacitor's voltage to reach 192.0 V?


 * -a) 1.296E+01 s
 * -b) 1.425E+01 s
 * +c) 1.568E+01 s
 * -d) 1.725E+01 s
 * -e) 1.897E+01 s

Key: U1
1) In the circuit shown V=10.8 V, R1=1.26 &Omega;, R2=5.65 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * -a) 8.240E+00 W
 * -b) 9.064E+00 W
 * -c) 9.970E+00 W
 * -d) 1.097E+01 W
 * +e) 1.206E+01 W

2) Three resistors, R1 = 1.23 &Omega;, and R2 = R2 = 2.73 &Omega;, are connected in parallel to a 5.41 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.788E+01 W
 * -b) 1.967E+01 W
 * -c) 2.163E+01 W
 * +d) 2.380E+01 W
 * -e) 2.617E+01 W

3) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * +a) 1.234E+00 V
 * -b) 1.358E+00 V
 * -c) 1.493E+00 V
 * -d) 1.643E+00 V
 * -e) 1.807E+00 V

4) A given battery has a 12 V emf and an internal resistance of 0.107 &Omega;. If it is connected to a 0.814 &Omega; resistor what is the power dissipated by that load?


 * +a) 1.382E+02 W
 * -b) 1.520E+02 W
 * -c) 1.672E+02 W
 * -d) 1.839E+02 W
 * -e) 2.023E+02 W

5) The resistances in the figure shown are R1= 2.73 &Omega;, R2= 1.4 &Omega;, and R2= 2.35 &Omega;. V1 and V3 are text 0.549 V and 1.27 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.584 V. What is the absolute value of the current through R1?


 * -a) 1.213E-01 A
 * -b) 1.334E-01 A
 * -c) 1.468E-01 A
 * +d) 1.614E-01 A
 * -e) 1.776E-01 A

6) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 467 V.  If the combined external and internal resistance is 172 &Omega and the capacitance is  74 mF, how long will it take for the capacitor's voltage to reach 258.0 V?


 * -a) 7.688E+00 s
 * -b) 8.457E+00 s
 * -c) 9.303E+00 s
 * +d) 1.023E+01 s
 * -e) 1.126E+01 s

7) Two sources of emf &epsilon;1=17.3 V, and  &epsilon;2=6.46 V are oriented as shownin the circuit. The resistances are R1=2.54 k&Omega; and  R2=2.79 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.1 mA and I4=0.281 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 6.488E+00 V
 * +b) 7.137E+00 V
 * -c) 7.850E+00 V
 * -d) 8.635E+00 V
 * -e) 9.499E+00 V

8) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=11.5 V are oriented as shownin the circuit. The resistances are R1=2.13 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.11 mA and I4=0.746 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 4.275E+00 V
 * -b) 4.703E+00 V
 * +c) 5.173E+00 V
 * -d) 5.691E+00 V
 * -e) 6.260E+00 V

9) Two sources of emf &epsilon;1=49.6 V, and  &epsilon;2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 3.055E+00 mA
 * +b) 3.360E+00 mA
 * -c) 3.696E+00 mA
 * -d) 4.066E+00 mA
 * -e) 4.472E+00 mA

Key: U2
1) The resistances in the figure shown are R1= 1.6 &Omega;, R2= 1.3 &Omega;, and R2= 2.22 &Omega;. V1 and V3 are text 0.55 V and 3.18 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.743 V. What is the absolute value of the current through R1?


 * +a) 1.721E-01 A
 * -b) 1.893E-01 A
 * -c) 2.082E-01 A
 * -d) 2.291E-01 A
 * -e) 2.520E-01 A

2) Two sources of emf &epsilon;1=35.5 V, and  &epsilon;2=12.3 V are oriented as shownin the circuit. The resistances are R1=4.49 k&Omega; and  R2=1.53 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.63 mA and I4=0.972 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 1.093E+01 V
 * +b) 1.202E+01 V
 * -c) 1.322E+01 V
 * -d) 1.454E+01 V
 * -e) 1.600E+01 V

3) A battery with a terminal voltage of 8.66 V is connected to a circuit consisting of 3 19.6 &Omega; resistors and one 10.6 &Omega; resistor. What is the voltage drop across the 10.6 &Omega; resistor?


 * -a) 1.202E+00 V
 * +b) 1.323E+00 V
 * -c) 1.455E+00 V
 * -d) 1.600E+00 V
 * -e) 1.761E+00 V

4) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 569 V.  If the combined external and internal resistance is 137 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 419.0 V?


 * -a) 1.043E+01 s
 * -b) 1.147E+01 s
 * -c) 1.262E+01 s
 * +d) 1.388E+01 s
 * -e) 1.527E+01 s

5) A given battery has a 13 V emf and an internal resistance of 0.161 &Omega;. If it is connected to a 0.814 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.087E+02 W
 * -b) 1.196E+02 W
 * -c) 1.316E+02 W
 * +d) 1.447E+02 W
 * -e) 1.592E+02 W

6) Two sources of emf &epsilon;1=27.9 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=2.82 k&Omega; and  R2=2.25 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.1 mA and I4=0.676 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 8.334E+00 V
 * -b) 9.167E+00 V
 * +c) 1.008E+01 V
 * -d) 1.109E+01 V
 * -e) 1.220E+01 V

7) Two sources of emf &epsilon;1=40.3 V, and  &epsilon;2=16.8 V are oriented as shownin the circuit. The resistances are R1=2.57 k&Omega; and  R2=2.25 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.96 mA and I4=0.752 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 1.825E+00 mA
 * -b) 2.007E+00 mA
 * +c) 2.208E+00 mA
 * -d) 2.429E+00 mA
 * -e) 2.672E+00 mA

8) Three resistors, R1 = 0.61 &Omega;, and R2 = R2 = 1.35 &Omega;, are connected in parallel to a 7.04 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 7.386E+01 W
 * +b) 8.125E+01 W
 * -c) 8.937E+01 W
 * -d) 9.831E+01 W
 * -e) 1.081E+02 W

9) In the circuit shown V=17.5 V, R1=2.34 &Omega;, R2=7.1 &Omega;, and R3=15.3 &Omega;. What is the power dissipated by R2?


 * -a) 1.784E+01 W
 * +b) 1.963E+01 W
 * -c) 2.159E+01 W
 * -d) 2.375E+01 W
 * -e) 2.612E+01 W

Key: V0
1) A given battery has a 15 V emf and an internal resistance of 0.0536 &Omega;. If it is connected to a 0.64 &Omega; resistor what is the power dissipated by that load?


 * -a) 2.721E+02 W
 * +b) 2.993E+02 W
 * -c) 3.293E+02 W
 * -d) 3.622E+02 W
 * -e) 3.984E+02 W

2) A battery with a terminal voltage of 12.4 V is connected to a circuit consisting of 3 21.6 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * -a) 1.333E+00 V
 * -b) 1.466E+00 V
 * -c) 1.612E+00 V
 * -d) 1.774E+00 V
 * +e) 1.951E+00 V

3) Three resistors, R1 = 1.74 &Omega;, and R2 = R2 = 3.92 &Omega;, are connected in parallel to a 8.5 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 2.836E+01 W
 * -b) 3.120E+01 W
 * -c) 3.432E+01 W
 * -d) 3.775E+01 W
 * +e) 4.152E+01 W

4) In the circuit shown V=16.1 V, R1=1.18 &Omega;, R2=5.28 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * -a) 2.172E+01 W
 * -b) 2.389E+01 W
 * -c) 2.628E+01 W
 * +d) 2.891E+01 W
 * -e) 3.180E+01 W

5) The resistances in the figure shown are R1= 2.24 &Omega;, R2= 1.03 &Omega;, and R2= 2.39 &Omega;. V1 and V3 are text 0.595 V and 2.58 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.707 V. What is the absolute value of the current through R1?


 * -a) 1.834E-01 A
 * +b) 2.018E-01 A
 * -c) 2.220E-01 A
 * -d) 2.441E-01 A
 * -e) 2.686E-01 A

6) Two sources of emf &epsilon;1=29.3 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=5.65 k&Omega; and  R2=2.68 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.81 mA and I4=0.525 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 1.717E+00 mA
 * -b) 1.888E+00 mA
 * -c) 2.077E+00 mA
 * +d) 2.285E+00 mA
 * -e) 2.514E+00 mA

7) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=16.9 V are oriented as shownin the circuit. The resistances are R1=3.3 k&Omega; and  R2=2.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.34 mA and I4=0.955 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 7.031E+00 V
 * +b) 7.734E+00 V
 * -c) 8.507E+00 V
 * -d) 9.358E+00 V
 * -e) 1.029E+01 V

8) Two sources of emf &epsilon;1=17.3 V, and  &epsilon;2=6.46 V are oriented as shownin the circuit. The resistances are R1=2.54 k&Omega; and  R2=2.79 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.1 mA and I4=0.281 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 6.488E+00 V
 * +b) 7.137E+00 V
 * -c) 7.850E+00 V
 * -d) 8.635E+00 V
 * -e) 9.499E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 543 V.  If the combined external and internal resistance is 201 &Omega and the capacitance is  82 mF, how long will it take for the capacitor's voltage to reach 281.0 V?


 * -a) 9.024E+00 s
 * -b) 9.927E+00 s
 * -c) 1.092E+01 s
 * +d) 1.201E+01 s
 * -e) 1.321E+01 s

Key: V1
1) Two sources of emf &epsilon;1=42.2 V, and  &epsilon;2=17.8 V are oriented as shownin the circuit. The resistances are R1=4.2 k&Omega; and  R2=2.83 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.5 mA and I4=0.749 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 1.056E+01 V
 * -b) 1.161E+01 V
 * -c) 1.277E+01 V
 * +d) 1.405E+01 V
 * -e) 1.545E+01 V

2) The resistances in the figure shown are R1= 2.73 &Omega;, R2= 1.4 &Omega;, and R2= 2.35 &Omega;. V1 and V3 are text 0.549 V and 1.27 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.584 V. What is the absolute value of the current through R1?


 * -a) 1.213E-01 A
 * -b) 1.334E-01 A
 * -c) 1.468E-01 A
 * +d) 1.614E-01 A
 * -e) 1.776E-01 A

3) A battery with a terminal voltage of 8.41 V is connected to a circuit consisting of 3 16.1 &Omega; resistors and one 10.9 &Omega; resistor. What is the voltage drop across the 10.9 &Omega; resistor?


 * -a) 1.058E+00 V
 * -b) 1.163E+00 V
 * -c) 1.280E+00 V
 * -d) 1.408E+00 V
 * +e) 1.548E+00 V

4) In the circuit shown V=16.2 V, R1=2.84 &Omega;, R2=7.06 &Omega;, and R3=13.1 &Omega;. What is the power dissipated by R2?


 * +a) 1.418E+01 W
 * -b) 1.560E+01 W
 * -c) 1.716E+01 W
 * -d) 1.887E+01 W
 * -e) 2.076E+01 W

5) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 598 V.  If the combined external and internal resistance is 170 &Omega and the capacitance is  73 mF, how long will it take for the capacitor's voltage to reach 436.0 V?


 * -a) 1.218E+01 s
 * -b) 1.339E+01 s
 * -c) 1.473E+01 s
 * +d) 1.621E+01 s
 * -e) 1.783E+01 s

6) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=16.9 V are oriented as shownin the circuit. The resistances are R1=3.3 k&Omega; and  R2=2.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.34 mA and I4=0.955 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 7.031E+00 V
 * +b) 7.734E+00 V
 * -c) 8.507E+00 V
 * -d) 9.358E+00 V
 * -e) 1.029E+01 V

7) Two sources of emf &epsilon;1=30.5 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.79 k&Omega; and  R2=1.86 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.07 mA and I4=0.73 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 2.281E+00 mA
 * -b) 2.509E+00 mA
 * -c) 2.760E+00 mA
 * -d) 3.036E+00 mA
 * +e) 3.340E+00 mA

8) Three resistors, R1 = 0.672 &Omega;, and R2 = R2 = 1.52 &Omega;, are connected in parallel to a 5.34 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 2.898E+01 W
 * -b) 3.188E+01 W
 * -c) 3.507E+01 W
 * -d) 3.858E+01 W
 * +e) 4.243E+01 W

9) A given battery has a 12 V emf and an internal resistance of 0.0984 &Omega;. If it is connected to a 0.485 &Omega; resistor what is the power dissipated by that load?


 * +a) 2.052E+02 W
 * -b) 2.257E+02 W
 * -c) 2.483E+02 W
 * -d) 2.731E+02 W
 * -e) 3.004E+02 W

Key: V2
1) Two sources of emf &epsilon;1=29.5 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=2.45 k&Omega; and  R2=1.96 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.03 mA and I4=0.783 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 2.247E+00 mA
 * -b) 2.472E+00 mA
 * -c) 2.719E+00 mA
 * -d) 2.991E+00 mA
 * -e) 3.290E+00 mA

2) Two sources of emf &epsilon;1=30.6 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.46 k&Omega; and  R2=2.77 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.97 mA and I4=0.643 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 4.986E+00 V
 * -b) 5.484E+00 V
 * -c) 6.033E+00 V
 * -d) 6.636E+00 V
 * +e) 7.299E+00 V

3) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 213 V.  If the combined external and internal resistance is 118 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 142.0 V?


 * -a) 5.401E+00 s
 * -b) 5.941E+00 s
 * -c) 6.535E+00 s
 * -d) 7.189E+00 s
 * +e) 7.908E+00 s

4) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.842E+01 W
 * -b) 2.026E+01 W
 * +c) 2.228E+01 W
 * -d) 2.451E+01 W
 * -e) 2.696E+01 W

5) A given battery has a 14 V emf and an internal resistance of 0.132 &Omega;. If it is connected to a 0.689 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.656E+02 W
 * -b) 1.821E+02 W
 * +c) 2.003E+02 W
 * -d) 2.204E+02 W
 * -e) 2.424E+02 W

6) A battery with a terminal voltage of 14.6 V is connected to a circuit consisting of 2 21.7 &Omega; resistors and one 14.4 &Omega; resistor. What is the voltage drop across the 14.4 &Omega; resistor?


 * +a) 3.637E+00 V
 * -b) 4.001E+00 V
 * -c) 4.401E+00 V
 * -d) 4.841E+00 V
 * -e) 5.325E+00 V

7) In the circuit shown V=17.9 V, R1=1.68 &Omega;, R2=7.84 &Omega;, and R3=12.3 &Omega;. What is the power dissipated by R2?


 * +a) 2.240E+01 W
 * -b) 2.464E+01 W
 * -c) 2.710E+01 W
 * -d) 2.981E+01 W
 * -e) 3.279E+01 W

8) The resistances in the figure shown are R1= 1.81 &Omega;, R2= 1.18 &Omega;, and R2= 2.62 &Omega;. V1 and V3 are text 0.628 V and 2.54 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.748 V. What is the absolute value of the current through R1?


 * -a) 1.552E-01 A
 * -b) 1.707E-01 A
 * -c) 1.878E-01 A
 * -d) 2.065E-01 A
 * +e) 2.272E-01 A

9) Two sources of emf &epsilon;1=14.3 V, and  &epsilon;2=5.6 V are oriented as shownin the circuit. The resistances are R1=5.31 k&Omega; and  R2=2.39 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.12 mA and I4=0.284 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 3.416E+00 V
 * -b) 3.757E+00 V
 * -c) 4.133E+00 V
 * +d) 4.546E+00 V
 * -e) 5.001E+00 V

Key: W0
1) A given battery has a 13 V emf and an internal resistance of 0.161 &Omega;. If it is connected to a 0.814 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.087E+02 W
 * -b) 1.196E+02 W
 * -c) 1.316E+02 W
 * +d) 1.447E+02 W
 * -e) 1.592E+02 W

2) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 &Omega; resistors and one 12.8 &Omega; resistor. What is the voltage drop across the 12.8 &Omega; resistor?


 * +a) 2.467E+00 V
 * -b) 2.714E+00 V
 * -c) 2.985E+00 V
 * -d) 3.283E+00 V
 * -e) 3.612E+00 V

3) Three resistors, R1 = 0.87 &Omega;, and R2 = R2 = 2.0 &Omega;, are connected in parallel to a 8.57 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 6.977E+01 W
 * -b) 7.674E+01 W
 * +c) 8.442E+01 W
 * -d) 9.286E+01 W
 * -e) 1.021E+02 W

4) In the circuit shown V=15.4 V, R1=2.55 &Omega;, R2=5.12 &Omega;, and R3=12.7 &Omega;. What is the power dissipated by R2?


 * -a) 1.096E+01 W
 * -b) 1.206E+01 W
 * -c) 1.326E+01 W
 * -d) 1.459E+01 W
 * +e) 1.605E+01 W

5) The resistances in the figure shown are R1= 2.04 &Omega;, R2= 1.19 &Omega;, and R2= 2.5 &Omega;. V1 and V3 are text 0.507 V and 3.07 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.602 V. What is the absolute value of the current through R1?


 * +a) 1.401E-01 A
 * -b) 1.542E-01 A
 * -c) 1.696E-01 A
 * -d) 1.865E-01 A
 * -e) 2.052E-01 A

6) Two sources of emf &epsilon;1=13.6 V, and  &epsilon;2=6.53 V are oriented as shownin the circuit. The resistances are R1=2.89 k&Omega; and  R2=2.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.11 mA and I4=0.311 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 7.264E-01 mA
 * +b) 7.990E-01 mA
 * -c) 8.789E-01 mA
 * -d) 9.668E-01 mA
 * -e) 1.063E+00 mA

7) Two sources of emf &epsilon;1=30.3 V, and  &epsilon;2=8.6 V are oriented as shownin the circuit. The resistances are R1=3.81 k&Omega; and  R2=2.39 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.38 mA and I4=0.416 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 8.945E+00 V
 * +b) 9.840E+00 V
 * -c) 1.082E+01 V
 * -d) 1.191E+01 V
 * -e) 1.310E+01 V

8) Two sources of emf &epsilon;1=17.3 V, and  &epsilon;2=6.46 V are oriented as shownin the circuit. The resistances are R1=2.54 k&Omega; and  R2=2.79 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.1 mA and I4=0.281 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 6.488E+00 V
 * +b) 7.137E+00 V
 * -c) 7.850E+00 V
 * -d) 8.635E+00 V
 * -e) 9.499E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 190 V.  If the combined external and internal resistance is 255 &Omega and the capacitance is  54 mF, how long will it take for the capacitor's voltage to reach 101.0 V?


 * +a) 1.044E+01 s
 * -b) 1.149E+01 s
 * -c) 1.264E+01 s
 * -d) 1.390E+01 s
 * -e) 1.529E+01 s

Key: W1
1) A given battery has a 14 V emf and an internal resistance of 0.198 &Omega;. If it is connected to a 0.534 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.776E+02 W
 * +b) 1.953E+02 W
 * -c) 2.149E+02 W
 * -d) 2.364E+02 W
 * -e) 2.600E+02 W

2) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 466 V.  If the combined external and internal resistance is 123 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 331.0 V?


 * -a) 9.571E+00 s
 * -b) 1.053E+01 s
 * +c) 1.158E+01 s
 * -d) 1.274E+01 s
 * -e) 1.401E+01 s

3) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=8.29 V are oriented as shownin the circuit. The resistances are R1=3.43 k&Omega; and  R2=1.16 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.09 mA and I4=1.06 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 6.720E+00 V
 * -b) 7.392E+00 V
 * -c) 8.131E+00 V
 * -d) 8.944E+00 V
 * +e) 9.838E+00 V

4) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * +a) 1.234E+00 V
 * -b) 1.358E+00 V
 * -c) 1.493E+00 V
 * -d) 1.643E+00 V
 * -e) 1.807E+00 V

5) Two sources of emf &epsilon;1=39.4 V, and  &epsilon;2=12.2 V are oriented as shownin the circuit. The resistances are R1=3.84 k&Omega; and  R2=2.01 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.71 mA and I4=0.669 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 8.825E+00 V
 * -b) 9.708E+00 V
 * -c) 1.068E+01 V
 * -d) 1.175E+01 V
 * +e) 1.292E+01 V

6) Three resistors, R1 = 0.548 &Omega;, and R2 = R2 = 1.24 &Omega;, are connected in parallel to a 7.16 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 7.029E+01 W
 * -b) 7.731E+01 W
 * -c) 8.505E+01 W
 * +d) 9.355E+01 W
 * -e) 1.029E+02 W

7) The resistances in the figure shown are R1= 2.54 &Omega;, R2= 1.15 &Omega;, and R2= 2.9 &Omega;. V1 and V3 are text 0.446 V and 3.39 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.744 V. What is the absolute value of the current through R1?


 * +a) 1.285E-01 A
 * -b) 1.414E-01 A
 * -c) 1.555E-01 A
 * -d) 1.711E-01 A
 * -e) 1.882E-01 A

8) In the circuit shown V=10.9 V, R1=1.68 &Omega;, R2=7.52 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * -a) 7.827E+00 W
 * +b) 8.610E+00 W
 * -c) 9.470E+00 W
 * -d) 1.042E+01 W
 * -e) 1.146E+01 W

9) Two sources of emf &epsilon;1=29.3 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=5.65 k&Omega; and  R2=2.68 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.81 mA and I4=0.525 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 1.717E+00 mA
 * -b) 1.888E+00 mA
 * -c) 2.077E+00 mA
 * +d) 2.285E+00 mA
 * -e) 2.514E+00 mA

Key: W2
1) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=11.5 V are oriented as shownin the circuit. The resistances are R1=2.13 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.11 mA and I4=0.746 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 4.275E+00 V
 * -b) 4.703E+00 V
 * +c) 5.173E+00 V
 * -d) 5.691E+00 V
 * -e) 6.260E+00 V

2) In the circuit shown V=11.8 V, R1=2.38 &Omega;, R2=5.11 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * -a) 8.489E+00 W
 * -b) 9.338E+00 W
 * +c) 1.027E+01 W
 * -d) 1.130E+01 W
 * -e) 1.243E+01 W

3) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 &Omega; resistors and one 9.58 &Omega; resistor. What is the voltage drop across the 9.58 &Omega; resistor?


 * -a) 1.677E+00 V
 * -b) 1.844E+00 V
 * +c) 2.029E+00 V
 * -d) 2.231E+00 V
 * -e) 2.455E+00 V

4) Two sources of emf &epsilon;1=29.3 V, and  &epsilon;2=11.0 V are oriented as shownin the circuit. The resistances are R1=5.65 k&Omega; and  R2=2.68 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.81 mA and I4=0.525 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 1.717E+00 mA
 * -b) 1.888E+00 mA
 * -c) 2.077E+00 mA
 * +d) 2.285E+00 mA
 * -e) 2.514E+00 mA

5) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 467 V.  If the combined external and internal resistance is 172 &Omega and the capacitance is  74 mF, how long will it take for the capacitor's voltage to reach 258.0 V?


 * -a) 7.688E+00 s
 * -b) 8.457E+00 s
 * -c) 9.303E+00 s
 * +d) 1.023E+01 s
 * -e) 1.126E+01 s

6) A given battery has a 9 V emf and an internal resistance of 0.16 &Omega;. If it is connected to a 0.45 &Omega; resistor what is the power dissipated by that load?


 * -a) 6.691E+01 W
 * -b) 7.360E+01 W
 * -c) 8.096E+01 W
 * -d) 8.905E+01 W
 * +e) 9.796E+01 W

7) Three resistors, R1 = 0.906 &Omega;, and R2 = R2 = 2.02 &Omega;, are connected in parallel to a 5.98 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 3.262E+01 W
 * -b) 3.588E+01 W
 * +c) 3.947E+01 W
 * -d) 4.342E+01 W
 * -e) 4.776E+01 W

8) The resistances in the figure shown are R1= 2.34 &Omega;, R2= 1.34 &Omega;, and R2= 2.94 &Omega;. V1 and V3 are text 0.609 V and 1.68 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.541 V. What is the absolute value of the current through R1?


 * -a) 1.464E-01 A
 * +b) 1.610E-01 A
 * -c) 1.772E-01 A
 * -d) 1.949E-01 A
 * -e) 2.144E-01 A

9) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=13.6 V are oriented as shownin the circuit. The resistances are R1=2.86 k&Omega; and  R2=2.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.02 mA and I4=0.854 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * +a) 1.380E+01 V
 * -b) 1.518E+01 V
 * -c) 1.670E+01 V
 * -d) 1.837E+01 V
 * -e) 2.020E+01 V

Key: X0
1) A given battery has a 15 V emf and an internal resistance of 0.177 &Omega;. If it is connected to a 0.824 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.682E+02 W
 * +b) 1.850E+02 W
 * -c) 2.035E+02 W
 * -d) 2.239E+02 W
 * -e) 2.463E+02 W

2) A battery with a terminal voltage of 9.88 V is connected to a circuit consisting of 3 15.9 &Omega; resistors and one 10.8 &Omega; resistor. What is the voltage drop across the 10.8 &Omega; resistor?


 * -a) 1.370E+00 V
 * -b) 1.507E+00 V
 * -c) 1.658E+00 V
 * +d) 1.824E+00 V
 * -e) 2.006E+00 V

3) Three resistors, R1 = 0.686 &Omega;, and R2 = R2 = 1.58 &Omega;, are connected in parallel to a 8.97 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * +a) 1.173E+02 W
 * -b) 1.290E+02 W
 * -c) 1.419E+02 W
 * -d) 1.561E+02 W
 * -e) 1.717E+02 W

4) In the circuit shown V=10.8 V, R1=1.26 &Omega;, R2=5.65 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * -a) 8.240E+00 W
 * -b) 9.064E+00 W
 * -c) 9.970E+00 W
 * -d) 1.097E+01 W
 * +e) 1.206E+01 W

5) The resistances in the figure shown are R1= 2.34 &Omega;, R2= 1.34 &Omega;, and R2= 2.94 &Omega;. V1 and V3 are text 0.609 V and 1.68 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.541 V. What is the absolute value of the current through R1?


 * -a) 1.464E-01 A
 * +b) 1.610E-01 A
 * -c) 1.772E-01 A
 * -d) 1.949E-01 A
 * -e) 2.144E-01 A

6) Two sources of emf &epsilon;1=40.3 V, and  &epsilon;2=16.8 V are oriented as shownin the circuit. The resistances are R1=2.57 k&Omega; and  R2=2.25 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.96 mA and I4=0.752 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 1.825E+00 mA
 * -b) 2.007E+00 mA
 * +c) 2.208E+00 mA
 * -d) 2.429E+00 mA
 * -e) 2.672E+00 mA

7) Two sources of emf &epsilon;1=28.6 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=3.73 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.27 mA and I4=0.774 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 6.641E+00 V
 * +b) 7.305E+00 V
 * -c) 8.035E+00 V
 * -d) 8.839E+00 V
 * -e) 9.723E+00 V

8) Two sources of emf &epsilon;1=45.3 V, and  &epsilon;2=13.3 V are oriented as shownin the circuit. The resistances are R1=3.82 k&Omega; and  R2=1.5 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=6.17 mA and I4=1.11 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 1.177E+01 V
 * -b) 1.295E+01 V
 * -c) 1.424E+01 V
 * +d) 1.567E+01 V
 * -e) 1.723E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 466 V.  If the combined external and internal resistance is 123 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 331.0 V?


 * -a) 9.571E+00 s
 * -b) 1.053E+01 s
 * +c) 1.158E+01 s
 * -d) 1.274E+01 s
 * -e) 1.401E+01 s

Key: X1
1) Two sources of emf &epsilon;1=21.6 V, and  &epsilon;2=8.59 V are oriented as shownin the circuit. The resistances are R1=4.97 k&Omega; and  R2=1.69 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.2 mA and I4=0.749 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 6.064E+00 V
 * -b) 6.670E+00 V
 * +c) 7.337E+00 V
 * -d) 8.071E+00 V
 * -e) 8.878E+00 V

2) The resistances in the figure shown are R1= 1.6 &Omega;, R2= 1.3 &Omega;, and R2= 2.22 &Omega;. V1 and V3 are text 0.55 V and 3.18 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.743 V. What is the absolute value of the current through R1?


 * +a) 1.721E-01 A
 * -b) 1.893E-01 A
 * -c) 2.082E-01 A
 * -d) 2.291E-01 A
 * -e) 2.520E-01 A

3) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 433 V.  If the combined external and internal resistance is 275 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 223.0 V?


 * -a) 1.104E+01 s
 * +b) 1.214E+01 s
 * -c) 1.335E+01 s
 * -d) 1.469E+01 s
 * -e) 1.616E+01 s

4) A given battery has a 14 V emf and an internal resistance of 0.192 &Omega;. If it is connected to a 0.766 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.229E+02 W
 * -b) 1.352E+02 W
 * -c) 1.487E+02 W
 * +d) 1.636E+02 W
 * -e) 1.799E+02 W

5) Two sources of emf &epsilon;1=38.8 V, and  &epsilon;2=14.9 V are oriented as shownin the circuit. The resistances are R1=5.83 k&Omega; and  R2=1.77 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.57 mA and I4=1.19 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 1.013E+01 V
 * -b) 1.115E+01 V
 * -c) 1.226E+01 V
 * +d) 1.349E+01 V
 * -e) 1.484E+01 V

6) In the circuit shown V=15.4 V, R1=2.55 &Omega;, R2=5.12 &Omega;, and R3=12.7 &Omega;. What is the power dissipated by R2?


 * -a) 1.096E+01 W
 * -b) 1.206E+01 W
 * -c) 1.326E+01 W
 * -d) 1.459E+01 W
 * +e) 1.605E+01 W

7) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 &Omega; resistors and one 12.8 &Omega; resistor. What is the voltage drop across the 12.8 &Omega; resistor?


 * +a) 2.467E+00 V
 * -b) 2.714E+00 V
 * -c) 2.985E+00 V
 * -d) 3.283E+00 V
 * -e) 3.612E+00 V

8) Three resistors, R1 = 1.82 &Omega;, and R2 = R2 = 4.14 &Omega;, are connected in parallel to a 5.65 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * +a) 1.754E+01 W
 * -b) 1.929E+01 W
 * -c) 2.122E+01 W
 * -d) 2.335E+01 W
 * -e) 2.568E+01 W

9) Two sources of emf &epsilon;1=20.6 V, and  &epsilon;2=9.53 V are oriented as shownin the circuit. The resistances are R1=5.46 k&Omega; and  R2=2.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.5 mA and I4=0.415 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 1.085E+00 mA
 * -b) 1.194E+00 mA
 * -c) 1.313E+00 mA
 * -d) 1.444E+00 mA
 * -e) 1.589E+00 mA

Key: X2
1) The resistances in the figure shown are R1= 2.34 &Omega;, R2= 1.34 &Omega;, and R2= 2.94 &Omega;. V1 and V3 are text 0.609 V and 1.68 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.541 V. What is the absolute value of the current through R1?


 * -a) 1.464E-01 A
 * +b) 1.610E-01 A
 * -c) 1.772E-01 A
 * -d) 1.949E-01 A
 * -e) 2.144E-01 A

2) A given battery has a 15 V emf and an internal resistance of 0.177 &Omega;. If it is connected to a 0.824 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.682E+02 W
 * +b) 1.850E+02 W
 * -c) 2.035E+02 W
 * -d) 2.239E+02 W
 * -e) 2.463E+02 W

3) In the circuit shown V=13.5 V, R1=2.66 &Omega;, R2=7.29 &Omega;, and R3=14.5 &Omega;. What is the power dissipated by R2?


 * -a) 7.123E+00 W
 * -b) 7.835E+00 W
 * -c) 8.618E+00 W
 * -d) 9.480E+00 W
 * +e) 1.043E+01 W

4) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 2 15.9 &Omega; resistors and one 10.4 &Omega; resistor. What is the voltage drop across the 10.4 &Omega; resistor?


 * -a) 1.709E+00 V
 * +b) 1.880E+00 V
 * -c) 2.068E+00 V
 * -d) 2.275E+00 V
 * -e) 2.503E+00 V

5) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 213 V.  If the combined external and internal resistance is 118 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 142.0 V?


 * -a) 5.401E+00 s
 * -b) 5.941E+00 s
 * -c) 6.535E+00 s
 * -d) 7.189E+00 s
 * +e) 7.908E+00 s

6) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=15.7 V are oriented as shownin the circuit. The resistances are R1=2.24 k&Omega; and  R2=2.23 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.01 mA and I4=0.86 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 1.955E+00 mA
 * +b) 2.150E+00 mA
 * -c) 2.365E+00 mA
 * -d) 2.601E+00 mA
 * -e) 2.862E+00 mA

7) Three resistors, R1 = 0.624 &Omega;, and R2 = R2 = 1.37 &Omega;, are connected in parallel to a 7.46 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 7.371E+01 W
 * -b) 8.108E+01 W
 * +c) 8.919E+01 W
 * -d) 9.810E+01 W
 * -e) 1.079E+02 W

8) Two sources of emf &epsilon;1=39.4 V, and  &epsilon;2=12.2 V are oriented as shownin the circuit. The resistances are R1=3.84 k&Omega; and  R2=2.01 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.71 mA and I4=0.669 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 8.825E+00 V
 * -b) 9.708E+00 V
 * -c) 1.068E+01 V
 * -d) 1.175E+01 V
 * +e) 1.292E+01 V

9) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=11.5 V are oriented as shownin the circuit. The resistances are R1=2.13 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.11 mA and I4=0.746 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 4.275E+00 V
 * -b) 4.703E+00 V
 * +c) 5.173E+00 V
 * -d) 5.691E+00 V
 * -e) 6.260E+00 V

Key: Y0
1) A given battery has a 12 V emf and an internal resistance of 0.0984 &Omega;. If it is connected to a 0.485 &Omega; resistor what is the power dissipated by that load?


 * +a) 2.052E+02 W
 * -b) 2.257E+02 W
 * -c) 2.483E+02 W
 * -d) 2.731E+02 W
 * -e) 3.004E+02 W

2) A battery with a terminal voltage of 8.66 V is connected to a circuit consisting of 3 19.6 &Omega; resistors and one 10.6 &Omega; resistor. What is the voltage drop across the 10.6 &Omega; resistor?


 * -a) 1.202E+00 V
 * +b) 1.323E+00 V
 * -c) 1.455E+00 V
 * -d) 1.600E+00 V
 * -e) 1.761E+00 V

3) Three resistors, R1 = 0.61 &Omega;, and R2 = R2 = 1.35 &Omega;, are connected in parallel to a 7.04 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 7.386E+01 W
 * +b) 8.125E+01 W
 * -c) 8.937E+01 W
 * -d) 9.831E+01 W
 * -e) 1.081E+02 W

4) In the circuit shown V=10.9 V, R1=1.68 &Omega;, R2=7.52 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * -a) 7.827E+00 W
 * +b) 8.610E+00 W
 * -c) 9.470E+00 W
 * -d) 1.042E+01 W
 * -e) 1.146E+01 W

5) The resistances in the figure shown are R1= 2.73 &Omega;, R2= 1.4 &Omega;, and R2= 2.35 &Omega;. V1 and V3 are text 0.549 V and 1.27 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.584 V. What is the absolute value of the current through R1?


 * -a) 1.213E-01 A
 * -b) 1.334E-01 A
 * -c) 1.468E-01 A
 * +d) 1.614E-01 A
 * -e) 1.776E-01 A

6) Two sources of emf &epsilon;1=39.0 V, and  &epsilon;2=15.9 V are oriented as shownin the circuit. The resistances are R1=3.4 k&Omega; and  R2=2.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.58 mA and I4=0.978 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 2.150E+00 mA
 * -b) 2.365E+00 mA
 * +c) 2.602E+00 mA
 * -d) 2.862E+00 mA
 * -e) 3.148E+00 mA

7) Two sources of emf &epsilon;1=38.9 V, and  &epsilon;2=16.9 V are oriented as shownin the circuit. The resistances are R1=3.3 k&Omega; and  R2=2.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.34 mA and I4=0.955 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 7.031E+00 V
 * +b) 7.734E+00 V
 * -c) 8.507E+00 V
 * -d) 9.358E+00 V
 * -e) 1.029E+01 V

8) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=13.6 V are oriented as shownin the circuit. The resistances are R1=2.86 k&Omega; and  R2=2.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.02 mA and I4=0.854 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * +a) 1.380E+01 V
 * -b) 1.518E+01 V
 * -c) 1.670E+01 V
 * -d) 1.837E+01 V
 * -e) 2.020E+01 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 129 V.  If the combined external and internal resistance is 169 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 109.0 V?


 * -a) 2.177E+01 s
 * +b) 2.394E+01 s
 * -c) 2.634E+01 s
 * -d) 2.897E+01 s
 * -e) 3.187E+01 s

Key: Y1
1) The resistances in the figure shown are R1= 1.54 &Omega;, R2= 0.927 &Omega;, and R2= 2.46 &Omega;. V1 and V3 are text 0.632 V and 2.12 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.586 V. What is the absolute value of the current through R1?


 * -a) 1.770E-01 A
 * -b) 1.947E-01 A
 * +c) 2.141E-01 A
 * -d) 2.355E-01 A
 * -e) 2.591E-01 A

2) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 327 V.  If the combined external and internal resistance is 204 &Omega and the capacitance is  68 mF, how long will it take for the capacitor's voltage to reach 218.0 V?


 * -a) 1.385E+01 s
 * +b) 1.524E+01 s
 * -c) 1.676E+01 s
 * -d) 1.844E+01 s
 * -e) 2.028E+01 s

3) A battery with a terminal voltage of 14.6 V is connected to a circuit consisting of 2 21.7 &Omega; resistors and one 14.4 &Omega; resistor. What is the voltage drop across the 14.4 &Omega; resistor?


 * +a) 3.637E+00 V
 * -b) 4.001E+00 V
 * -c) 4.401E+00 V
 * -d) 4.841E+00 V
 * -e) 5.325E+00 V

4) Two sources of emf &epsilon;1=67.2 V, and  &epsilon;2=18.7 V are oriented as shownin the circuit. The resistances are R1=3.45 k&Omega; and  R2=1.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=9.49 mA and I4=1.81 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 1.906E+01 V
 * +b) 2.097E+01 V
 * -c) 2.306E+01 V
 * -d) 2.537E+01 V
 * -e) 2.790E+01 V

5) A given battery has a 12 V emf and an internal resistance of 0.107 &Omega;. If it is connected to a 0.814 &Omega; resistor what is the power dissipated by that load?


 * +a) 1.382E+02 W
 * -b) 1.520E+02 W
 * -c) 1.672E+02 W
 * -d) 1.839E+02 W
 * -e) 2.023E+02 W

6) In the circuit shown V=15.4 V, R1=2.55 &Omega;, R2=5.12 &Omega;, and R3=12.7 &Omega;. What is the power dissipated by R2?


 * -a) 1.096E+01 W
 * -b) 1.206E+01 W
 * -c) 1.326E+01 W
 * -d) 1.459E+01 W
 * +e) 1.605E+01 W

7) Two sources of emf &epsilon;1=28.6 V, and  &epsilon;2=11.1 V are oriented as shownin the circuit. The resistances are R1=3.73 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.27 mA and I4=0.774 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 6.641E+00 V
 * +b) 7.305E+00 V
 * -c) 8.035E+00 V
 * -d) 8.839E+00 V
 * -e) 9.723E+00 V

8) Three resistors, R1 = 1.31 &Omega;, and R2 = R2 = 2.91 &Omega;, are connected in parallel to a 6.03 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 2.294E+01 W
 * -b) 2.523E+01 W
 * +c) 2.776E+01 W
 * -d) 3.053E+01 W
 * -e) 3.359E+01 W

9) Two sources of emf &epsilon;1=18.2 V, and  &epsilon;2=6.59 V are oriented as shownin the circuit. The resistances are R1=5.47 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.64 mA and I4=0.341 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 1.299E+00 mA
 * -b) 1.429E+00 mA
 * -c) 1.572E+00 mA
 * -d) 1.729E+00 mA
 * -e) 1.902E+00 mA

Key: Y2
1) Two sources of emf &epsilon;1=43.7 V, and  &epsilon;2=13.1 V are oriented as shownin the circuit. The resistances are R1=5.21 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.86 mA and I4=0.9 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 2.691E+00 mA
 * +b) 2.960E+00 mA
 * -c) 3.256E+00 mA
 * -d) 3.582E+00 mA
 * -e) 3.940E+00 mA

2) Two sources of emf &epsilon;1=57.0 V, and  &epsilon;2=18.1 V are oriented as shownin the circuit. The resistances are R1=4.95 k&Omega; and  R2=2.09 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.23 mA and I4=1.04 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 1.921E+01 V
 * +b) 2.114E+01 V
 * -c) 2.325E+01 V
 * -d) 2.557E+01 V
 * -e) 2.813E+01 V

3) A given battery has a 13 V emf and an internal resistance of 0.113 &Omega;. If it is connected to a 0.686 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.501E+02 W
 * -b) 1.651E+02 W
 * +c) 1.816E+02 W
 * -d) 1.998E+02 W
 * -e) 2.197E+02 W

4) Three resistors, R1 = 1.2 &Omega;, and R2 = R2 = 2.75 &Omega;, are connected in parallel to a 6.42 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 2.581E+01 W
 * -b) 2.839E+01 W
 * -c) 3.122E+01 W
 * +d) 3.435E+01 W
 * -e) 3.778E+01 W

5) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 543 V.  If the combined external and internal resistance is 201 &Omega and the capacitance is  82 mF, how long will it take for the capacitor's voltage to reach 281.0 V?


 * -a) 9.024E+00 s
 * -b) 9.927E+00 s
 * -c) 1.092E+01 s
 * +d) 1.201E+01 s
 * -e) 1.321E+01 s

6) In the circuit shown V=16.1 V, R1=1.18 &Omega;, R2=5.28 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * -a) 2.172E+01 W
 * -b) 2.389E+01 W
 * -c) 2.628E+01 W
 * +d) 2.891E+01 W
 * -e) 3.180E+01 W

7) Two sources of emf &epsilon;1=18.6 V, and  &epsilon;2=5.63 V are oriented as shownin the circuit. The resistances are R1=3.9 k&Omega; and  R2=1.1 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.41 mA and I4=0.614 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 4.342E+00 V
 * -b) 4.776E+00 V
 * -c) 5.254E+00 V
 * +d) 5.779E+00 V
 * -e) 6.357E+00 V

8) The resistances in the figure shown are R1= 2.38 &Omega;, R2= 1.87 &Omega;, and R2= 2.32 &Omega;. V1 and V3 are text 0.605 V and 3.8 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.67 V. What is the absolute value of the current through R1?


 * -a) 8.147E-02 A
 * -b) 8.962E-02 A
 * -c) 9.858E-02 A
 * +d) 1.084E-01 A
 * -e) 1.193E-01 A

9) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 &Omega; resistors and one 12.1 &Omega; resistor. What is the voltage drop across the 12.1 &Omega; resistor?


 * +a) 1.234E+00 V
 * -b) 1.358E+00 V
 * -c) 1.493E+00 V
 * -d) 1.643E+00 V
 * -e) 1.807E+00 V

Key: Z0
1) A given battery has a 15 V emf and an internal resistance of 0.113 &Omega;. If it is connected to a 0.645 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.898E+02 W
 * -b) 2.087E+02 W
 * -c) 2.296E+02 W
 * +d) 2.526E+02 W
 * -e) 2.778E+02 W

2) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 2 15.9 &Omega; resistors and one 10.4 &Omega; resistor. What is the voltage drop across the 10.4 &Omega; resistor?


 * -a) 1.709E+00 V
 * +b) 1.880E+00 V
 * -c) 2.068E+00 V
 * -d) 2.275E+00 V
 * -e) 2.503E+00 V

3) Three resistors, R1 = 1.41 &Omega;, and R2 = R2 = 3.17 &Omega;, are connected in parallel to a 5.89 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.681E+01 W
 * -b) 1.849E+01 W
 * -c) 2.033E+01 W
 * -d) 2.237E+01 W
 * +e) 2.460E+01 W

4) In the circuit shown V=11.9 V, R1=2.75 &Omega;, R2=7.19 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * +a) 7.982E+00 W
 * -b) 8.780E+00 W
 * -c) 9.658E+00 W
 * -d) 1.062E+01 W
 * -e) 1.169E+01 W

5) The resistances in the figure shown are R1= 1.18 &Omega;, R2= 0.878 &Omega;, and R2= 2.11 &Omega;. V1 and V3 are text 0.637 V and 3.51 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.547 V. What is the absolute value of the current through R1?


 * -a) 1.701E-01 A
 * +b) 1.871E-01 A
 * -c) 2.058E-01 A
 * -d) 2.264E-01 A
 * -e) 2.490E-01 A

6) Two sources of emf &epsilon;1=30.5 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.79 k&Omega; and  R2=1.86 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.07 mA and I4=0.73 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 2.281E+00 mA
 * -b) 2.509E+00 mA
 * -c) 2.760E+00 mA
 * -d) 3.036E+00 mA
 * +e) 3.340E+00 mA

7) Two sources of emf &epsilon;1=16.8 V, and  &epsilon;2=7.15 V are oriented as shownin the circuit. The resistances are R1=3.12 k&Omega; and  R2=1.51 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.95 mA and I4=0.603 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 4.108E+00 V
 * +b) 4.519E+00 V
 * -c) 4.970E+00 V
 * -d) 5.468E+00 V
 * -e) 6.014E+00 V

8) Two sources of emf &epsilon;1=18.6 V, and  &epsilon;2=5.63 V are oriented as shownin the circuit. The resistances are R1=3.9 k&Omega; and  R2=1.1 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.41 mA and I4=0.614 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 4.342E+00 V
 * -b) 4.776E+00 V
 * -c) 5.254E+00 V
 * +d) 5.779E+00 V
 * -e) 6.357E+00 V

9) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 543 V.  If the combined external and internal resistance is 201 &Omega and the capacitance is  82 mF, how long will it take for the capacitor's voltage to reach 281.0 V?


 * -a) 9.024E+00 s
 * -b) 9.927E+00 s
 * -c) 1.092E+01 s
 * +d) 1.201E+01 s
 * -e) 1.321E+01 s

Key: Z1
1) Two sources of emf &epsilon;1=49.8 V, and  &epsilon;2=18.1 V are oriented as shownin the circuit. The resistances are R1=2.78 k&Omega; and  R2=2.63 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.51 mA and I4=0.969 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 7.886E+00 V
 * -b) 8.675E+00 V
 * -c) 9.542E+00 V
 * -d) 1.050E+01 V
 * +e) 1.155E+01 V

2) The resistances in the figure shown are R1= 2.34 &Omega;, R2= 1.34 &Omega;, and R2= 2.94 &Omega;. V1 and V3 are text 0.609 V and 1.68 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.541 V. What is the absolute value of the current through R1?


 * -a) 1.464E-01 A
 * +b) 1.610E-01 A
 * -c) 1.772E-01 A
 * -d) 1.949E-01 A
 * -e) 2.144E-01 A

3) A given battery has a 14 V emf and an internal resistance of 0.0842 &Omega;. If it is connected to a 0.835 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.455E+02 W
 * -b) 1.601E+02 W
 * -c) 1.761E+02 W
 * +d) 1.937E+02 W
 * -e) 2.131E+02 W

4) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 543 V.  If the combined external and internal resistance is 201 &Omega and the capacitance is  82 mF, how long will it take for the capacitor's voltage to reach 281.0 V?


 * -a) 9.024E+00 s
 * -b) 9.927E+00 s
 * -c) 1.092E+01 s
 * +d) 1.201E+01 s
 * -e) 1.321E+01 s

5) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 2 20.3 &Omega; resistors and one 13.1 &Omega; resistor. What is the voltage drop across the 13.1 &Omega; resistor?


 * -a) 2.843E+00 V
 * -b) 3.127E+00 V
 * +c) 3.440E+00 V
 * -d) 3.784E+00 V
 * -e) 4.162E+00 V

6) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=13.6 V are oriented as shownin the circuit. The resistances are R1=2.86 k&Omega; and  R2=2.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.02 mA and I4=0.854 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * +a) 1.380E+01 V
 * -b) 1.518E+01 V
 * -c) 1.670E+01 V
 * -d) 1.837E+01 V
 * -e) 2.020E+01 V

7) Three resistors, R1 = 1.74 &Omega;, and R2 = R2 = 3.92 &Omega;, are connected in parallel to a 8.5 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 2.836E+01 W
 * -b) 3.120E+01 W
 * -c) 3.432E+01 W
 * -d) 3.775E+01 W
 * +e) 4.152E+01 W

8) Two sources of emf &epsilon;1=18.2 V, and  &epsilon;2=6.59 V are oriented as shownin the circuit. The resistances are R1=5.47 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.64 mA and I4=0.341 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 1.299E+00 mA
 * -b) 1.429E+00 mA
 * -c) 1.572E+00 mA
 * -d) 1.729E+00 mA
 * -e) 1.902E+00 mA

9) In the circuit shown V=11.9 V, R1=2.75 &Omega;, R2=7.19 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * +a) 7.982E+00 W
 * -b) 8.780E+00 W
 * -c) 9.658E+00 W
 * -d) 1.062E+01 W
 * -e) 1.169E+01 W

Key: Z2
1) Two sources of emf &epsilon;1=39.0 V, and  &epsilon;2=15.9 V are oriented as shownin the circuit. The resistances are R1=3.4 k&Omega; and  R2=2.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.58 mA and I4=0.978 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 2.150E+00 mA
 * -b) 2.365E+00 mA
 * +c) 2.602E+00 mA
 * -d) 2.862E+00 mA
 * -e) 3.148E+00 mA

2) Two sources of emf &epsilon;1=26.2 V, and  &epsilon;2=11.5 V are oriented as shownin the circuit. The resistances are R1=2.13 k&Omega; and  R2=1.72 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.11 mA and I4=0.746 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 4.275E+00 V
 * -b) 4.703E+00 V
 * +c) 5.173E+00 V
 * -d) 5.691E+00 V
 * -e) 6.260E+00 V

3) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 467 V.  If the combined external and internal resistance is 172 &Omega and the capacitance is  74 mF, how long will it take for the capacitor's voltage to reach 258.0 V?


 * -a) 7.688E+00 s
 * -b) 8.457E+00 s
 * -c) 9.303E+00 s
 * +d) 1.023E+01 s
 * -e) 1.126E+01 s

4) Two sources of emf &epsilon;1=24.4 V, and  &epsilon;2=6.73 V are oriented as shownin the circuit. The resistances are R1=5.7 k&Omega; and  R2=1.95 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.36 mA and I4=0.418 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 5.418E+00 V
 * -b) 5.960E+00 V
 * -c) 6.556E+00 V
 * -d) 7.212E+00 V
 * +e) 7.933E+00 V

5) In the circuit shown V=11.9 V, R1=2.75 &Omega;, R2=7.19 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * +a) 7.982E+00 W
 * -b) 8.780E+00 W
 * -c) 9.658E+00 W
 * -d) 1.062E+01 W
 * -e) 1.169E+01 W

6) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 &Omega; resistors and one 10.2 &Omega; resistor. What is the voltage drop across the 10.2 &Omega; resistor?


 * -a) 2.074E+00 V
 * -b) 2.282E+00 V
 * +c) 2.510E+00 V
 * -d) 2.761E+00 V
 * -e) 3.037E+00 V

7) A given battery has a 11 V emf and an internal resistance of 0.0998 &Omega;. If it is connected to a 0.417 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.419E+02 W
 * -b) 1.561E+02 W
 * -c) 1.717E+02 W
 * +d) 1.889E+02 W
 * -e) 2.078E+02 W

8) Three resistors, R1 = 1.74 &Omega;, and R2 = R2 = 3.92 &Omega;, are connected in parallel to a 8.5 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 2.836E+01 W
 * -b) 3.120E+01 W
 * -c) 3.432E+01 W
 * -d) 3.775E+01 W
 * +e) 4.152E+01 W

9) The resistances in the figure shown are R1= 2.42 &Omega;, R2= 1.09 &Omega;, and R2= 3.89 &Omega;. V1 and V3 are text 0.677 V and 1.86 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.745 V. What is the absolute value of the current through R1?


 * -a) 2.089E-01 A
 * -b) 2.298E-01 A
 * +c) 2.528E-01 A
 * -d) 2.781E-01 A
 * -e) 3.059E-01 A