Physics equations/Previous exams/Second semester calc F2013

Final exam from Fall 2013
All exams and test will be considered open source after the course ends

Final Exam Fall 2011         Name:


 * Do these problems on separate paper. Staple or fold pages in proper order, labeled by problem number.
 * Neatly cross out work that you do not wish to be graded (penalties will be result from incorrect statements and equations).
 * For a partial credit (at least half) write down the equation and box it before plugging in numbers.
 * The value of each question ranges from 5 to 10 points (depending on complexity.)


 * 1) Two point charges are on the x axis (y=0): 2nC are at x=1.5 and 3nC are at x=2.5.  Find the electric potential (V) on the y axis at y = 4.0.
 * 2) Repeat the previous problem with the same two charges, but now find the electric potential (V) on the x axis at an arbitrary point, x.
 * 3) Again, with the same two charges, find the electric field (E) at an arbitrary point on the x-axis.
 * 4) A block of carbon is 400m long and has an cross section area of 0.1 m2.  What is the resistivity if the resistance, R, is 0.03 Ohms?
 * 5) What is the resistance of a 3 Ohm resistor connected in parallel with a 2 Ohm resistor?
 * 6) Repeat the previous problem, except with the two resistors connected in series.
 * 7) A thin ring of radius a is uniformly charged with a total charge of Q.  Find the electric potential (V) on axis, at a distance z from the center..
 * 8) In the figure labeled 'Gauss law pillbox', E2 = 3.5N/C and 3.0E1 = 3N/C.  The height Δy is 0.25m, and the radius is 0.5m. How much charge is enclosed?
 * 9) A thin shell of spherical charge has a surface density of σ (Coulombs per square meter).  The radius is a.  Find the electric field for a distance r from the center, where r > a.
 * 10) Answer the previous question, except now the distance from the origin, r, is less than a.
 * 11) An infinitely long cylinder of radius a has a volume charge density of ρ (C/m3).  Using Gauss' law, and showing your steps, find the charge density for r > a
 * 12) Repeat the previous problem for r < a
 * 13) The electric field is E = 4i + 3j.  What is the potential difference between the origin and the point on the x axis at x=7?
 * 14) Repeat the previous question for the potential difference between the origin and the point (x,y)=(7,5).