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) C1 < C2
(b) C1 = C2
(c) C1 > C2
(a) C2 = (1/2) C1
(b) C2 = C1
(c) C2 = 2 C1
Four capacitors are connected as shown and connected to a battery to
maintain a constant potential difference between points a and b. A
charge Q2 = 61.6 μC is measured on capacitor 2.
Calculate the energy stored in capacitor 2?
(a) U2 = 57 μJ
(b) U2 = 83 μJ
(c) U2 = 95 μJ
(a) Ceff = 3.4 μF
(b) Ceff = 6.7 μF
(c) Ceff = 18 μF
(d) Ceff = 25 μF
(e) Ceff = 37 μF
(a) Q3 = 5.9 μC
(b) Q3 = 11.6 μC
(c) Q3 = 18.9 μC
(d) Q3 = 26.4 μC
(e) Q3 = 62.5 μC
(a) V1 increases.
(b) V1 remains unchanged.
(c) V1 decreases.
In terms of E0, 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,
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
Which set-up has the largest magnitude electric field at the
(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
(a) |E| = 0
(b) |E| = 4.18 × 107 N/C
(c) |E| = 7.81 × 107 N/C
(d) |E| = 1.07 × 107 N/C
(e) |E| = 1.63 × 107 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 × 106 J/C
(b) V = 3.83 × 106 J/C
(c) V = 2.25 × 106 J/C
(d) V = 1.35 × 106 J/C
(e) V = 1.13 × 106 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
Calculate the electric potential V due to the ring at the
point P. (Assume V = 0 when infinitely far from the ring of
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/m3).
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.
Find the charge density on the left surface of the metal plane.
(a) σL = -2ε0E
(b) σL = +2ε0E
(c) σL = -ε0E
(d) σL = +ε0E
(e) σL = -E / 2ε0