Quizbank/Electricity and Magnetism (calculus based)/QBCh13

QB153086031104

QB:Ch 13:V1
QB153086031104 1) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.227 m. The magnetic field is spatially uniform but decays in time according to $$(5.55)e^{-\alpha t}$$, where $$\alpha=$$3.92 s. What is the current in the coil if the impedance of the coil is 22.7 &Omega;?
 * a) 1.082E-01 A
 * b) 1.190E-01 A
 * c) 1.309E-01 A
 * d) 1.440E-01 A
 * e) 1.584E-01 A

2) A long solenoid has a radius of 0.845 m and 78 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$3 A and $$\alpha=$$20 s&minus;1.What is the induced electric fied at a distance 0.214 m from the axis at time t=0.0655 s ?
 * a) 1.160E-04 V/m
 * b) 1.276E-04 V/m
 * c) 1.403E-04 V/m
 * d) 1.544E-04 V/m
 * e) 1.698E-04 V/m

3) A square coil has sides that are L= 0.894 m long and is tightly wound with N=255 turns of wire. The resistance of the coil is R=8.83 &Omega;. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0682 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?
 * a) 1.301E+00 A
 * b) 1.431E+00 A
 * c) 1.574E+00 A
 * d) 1.732E+00 A
 * e) 1.905E+00 A