This exam consists of 27 questions; 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 104. When the exam was given, the mean was 67.1; the median was 68. Click here to see the formula sheet that came with the exam.

A negative charge Q_{1 }= -q is placed at the center of a hollow metal sphere. A positive charge Q_{2} = +q is placed outside the sphere as shown. The sphere is ungrounded.

How do the magnitudes of the forces on the charges compare?

(a) Force on Q_{1} > Force on Q_{2} (b) Force on Q_{1} = Force on Q_{2} (c) Force on Q_{1} < Force on Q_{2}

(a) does not change (b) increases (c) decreases

q = 1.2 μC and the square has sides of length 2 cm.

(a) +0.838 J (b) +0.350 J (c) 0 (d) -0.350 J (e) -0.838 J

Two 5 μC charges are placed at (-3, 0) and (3, 0) as shown. The grid spacing is in meters.

Calculate the magnitude of the electric force on the charge at (-3,0) due to the other charge?

(a) F = 1.80 × 10^{-2} N (b) F = 6.25 × 10^{-3} N (c) F = 9.99 × 10^{-4} N

(a) 3.00 × 10^{4} V (b) 1.62 × 10^{4} V (c) -1.51 × 10^{4} V

(a) -5.65 × 10^{3} V/m (b) -3.34 × 10^{3} V/m (c) 0 (d) +3.34 × 10^{3} V/m (e) +5.65 × 10^{3} V/m

(a) -5.65 × 10^{3} V/m (b) -3.84 × 10^{3} V/m (c) 0 (d) +3.84 × 10^{3} V/m (e) +5.65 × 10^{3} V/m

(a) -2.65 × 10^{-2} J (b) -1.20 × 10^{-2} J (c) 0 (d) +1.20 × 10^{-2} J (e) +2.65 × 10^{-2} J

A region in space contains a uniform electric field of E_{x} = 0 and E_{y} = 10 V/m. At t = 0 a particle of mass M = 0.0015 kg and charge Q = +530 μC enters the region with a speed of 8 m/s headed downward. Neglect gravity.

Find the y position of the particle at time t = 3 s.

(a) y = -53.3 m (b) y = -26.6 m (c) y = -25.0 m (d) y = -8.10 m (e) y = -3.21 m

(a) increases. (b) remains the same. (c) decreases.

(a) A (b) B (c) C

Four parallel plate capacitors are connected to a battery as shown below.

Compare Q_{3} the charge on capacitor C_{3} with Q_{2} the charge on capacitor C_{2}.

(a) Q_{3} > Q_{2} (b) Q_{3} = Q_{2} (c) Q_{3} < Q_{2}

(a) C_{eq} = 7.88 mF (b) C_{eq} = 18.1 mF (c) C_{eq} = 25.6 mF

(a) U_{4} = 13.2 mJ (b) U_{4} = 23.2 mJ (c) U_{4} = 43.2 mJ (d) U_{4} = 63.2 mJ (e) U_{4} = 93.2 mJ

In the circuit shown, the switch has been open for a long time so that the capacitor is uncharged.

What is the current through the battery immediately after the switch is closed?

(a) I(0+) = V/(3R) (b) I(0+) = V/(2R) (c) I(0+) = V/R

(a) I(∞) = 0 (b) I(∞) = V/(3R) (c) I(∞) = V/(2R)

(a) Q(∞) = CV/3 (b) Q(∞) = 2CV/3 (c) Q(∞) = CV

(a) t = 13.8 μs (b) t = 27.7 μs (c) t = 55.5 μs (d) t = 88.1 μs (e) t = 113.2 μs

Twelve identical 10 ohm resistors are connected to a 12 volt battery as shown here.

Resistors R_{1} and R_{2} are in

(a) series. (b) parallel. (c) neither

(a) I_{b} = 0.6 amps (b) I_{b} = 1.2 amps (c) I_{b} = 2.4 amps (d) I_{b} = 4.4 amps (e) I_{b} = 6.8 amps

(a) P_{1} = 7.2 W (b) P_{1} = 14.4 W (c) P_{1} = 28.8 W

(a) V_{AB} = 4 volts (b) V_{AB} = 8 volts (c) V_{AB} = 12 volts

Two parallel plate capacitors are constructed as shown below. The first has plates with dimension W and L separated by a distance d. The second has plates with dimension W and 2L separated by a distance 2d.

Compare the capacitance of the two capacitors.

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

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

Four wires and three batteries are connected as shown here.

Calculate V_{AB} = V_{A} - V_{B}, the potential difference between the points marked A and B.

(a) 20 V (b) 30 V (c) 40 V

(a) I_{2}R_{2} - ε_{1} + I_{1}R_{1} + ε_{2} - ε_{3} = 0 (b) I_{2}R_{2} + ε_{1} + I_{1}R_{1} - ε_{2} + ε_{3} = 0