True-false questions are worth 2 points each, three-choice multiple choice questions are worth 3 points each, five-choice multiple choice questions are worth 6 points each. The maximum possible score is 102. The exam period was 90 minutes; the mean score was 74.3; the median was 76. Click here to see page1 page2 of the formula sheet that came with the exam.

(a) C_{1} < C_{2} (b) C_{1} = C_{2} (c) C_{1} > C_{2}

(a) C_{2} = (1/2) C_{1} (b) C_{2} = C_{1} (c) C_{2} = 2 C_{1}

Four capacitors are connected as shown and connected to a battery to maintain a constant potential difference between points a and b. A charge Q_{2} = 61.6 μC is measured on capacitor 2.

Calculate the energy stored in capacitor 2?

(a) U_{2} = 57 μJ (b) U_{2} = 83 μJ (c) U_{2} = 95 μJ

(a) C_{eff} = 3.4 μF (b) C_{eff} = 6.7 μF (c) C_{eff} = 18 μF (d) C_{eff} = 25 μF (e) C_{eff} = 37 μF

(a) Q_{3} = 5.9 μC (b) Q_{3} = 11.6 μC (c) Q_{3} = 18.9 μC (d) Q_{3} = 26.4 μC (e) Q_{3} = 62.5 μC

(a) V_{1} increases. (b) V_{1} remains unchanged. (c) V_{1} decreases.

(a) (b) (c)

In terms of E_{0}, what would be the total electric field vector at the origin due to the semi-circle of charge shown below? The left quarter-circle has negative charge, -Q, distributed uniformly and the right quarter-circle has positive charge, Q, distributed uniformly.

(a) (b) (c) (d) (e)

An insulating sphere of radius R has positive charge uniformly distributed throughout its volume. The volume charge density (i.e., the charge per volume) is ρ.

What is the flux through a Gaussian spherical shell of radius R/2 that is totally contained inside the charged sphere and centered a distance R/2 from the center of the charged sphere, as shown by the dashed sphere in the diagram below?

Three different set-ups are shown below. The set-ups consist of either charged rods or point charges (or both). All rods have length 2a and charge +Q or -Q distributed uniformly. All charges are of magnitude Q, with some positive and some negative as indicated.

Which set-up has the largest magnitude electric field at the origin?

(a) set up #1 (b) set up #2 (c) set up #3

(a) The work done is positive. (b) The work done is negative. (c) The work done depends on the path taken from A to B.

Three point charges are placed on the coordinate system as shown.

What is the magnitude of the electric field at the origin due to all three charges?

(a) |E| = 0 (b) |E| = 4.18 × 10^{7} N/C (c) |E| = 7.81 × 10^{7} N/C (d) |E| = 1.07 × 10^{7} N/C (e) |E| = 1.63 × 10^{7} N/C

(a) W = +3.63 J (b) W = +0.89 J (c) W = -1.72 J (d) W = -1.93 J (e) W = -3.92 J

(a) V = 7.39 × 10^{6} J/C (b) V = 3.83 × 10^{6} J/C (c) V = 2.25 × 10^{6} J/C (d) V = 1.35 × 10^{6} J/C (e) V = 1.13 × 10^{6} J/C

A ring of radius R and very small cross-section has a total charge +Q distributed uniformly on it. A point mass m carrying a charge -q is released from rest at a point P on the axis of symmetry of the ring a distance 2R from the ring's center.

Calculate the electric potential V due to the ring at the point P. (Assume V = 0 when infinitely far from the ring of charge.)

A nonconducting, solid sphere of radius a is placed at the center of a spherical conducting shell of inner radius b (> a) and outer radius c, as shown in the figure below. A charge +Q is distributed uniformly through the sphere, which thus carries a charge density ρ (C/m^{3}). The outer shell carries a total charge -3Q.

Find the electric field E(r) within the solid sphere, i.e., at a radius r < a.

(a) -3Q (b) -2Q (c) -Q (d) +2Q (e) +3Q

Find the charge density on the left surface of the metal plane.

(a) σ_{L} = -2ε_{0}E (b) σ_{L} = +2ε_{0}E (c) σ_{L} = -ε_{0}E (d) σ_{L} = +ε_{0}E (e) σ_{L} = -E / 2ε_{0}