A) I B) II C) III D) IV E) V


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1 1. A square loop of wire moves with a constant speed v from a fieldfree region into a region of uniform B field, as shown. Which of the five graphs correctly shows the induced current i in the loop as a function of time t? A) I B) II C) III D) IV E) V 2. A cylinder has a radius of 2.1 cm and a length of 8.8 cm. Total charge C is distributed uniformly throughout. The volume charge density is: A) C/m 3 B) C/m 2 C) C/m 3 D) C/m 3 E) C/m 3 Page 1
2 3. An 8.0mH inductor and a 2.0Ω resistor are wired in series to an ideal battery. A switch in the circuit is closed at time 0, at which time the current is 0. The current reaches half its final value at a time of: A) 2.8 ms B) 4.0 ms C) 3 s D) 170 s E) 250 s 4. The current in the 5.0Ω resistor in the circuit shown is: A) 0.42 A B) 0.67 A C) 1.5 A D) 2.4 A E) 3.0 A 5. Capacitors C 1 and C 2 are connected in parallel and a potential difference is applied to the combination. If the capacitor that is equivalent to the combination has the same potential difference, then the charge on the equivalent capacitor is the same as: A) the charge on C 1 B) the sum of the charges on C 1 and C 2 C) the difference of the charges on C 1 and C 2 D) the product of the charges on C 1 and C 2 E) none of the above 6. We desire to make an LC circuit that oscillates at 100 Hz using an inductance of 2.5 H. We also need a capacitance of: A) 1 F B) 1 mf C) 1 μf D) 100 μf E) 1 pf Page 2
3 7. A total resistance of 3.0 Ω is to be produced by combining an unknown resistor R with a 12 Ω resistor. What is the value of R and how is it to be connected to the 12 Ω resistor? A) 4.0 Ω, parallel B) 4.0 Ω, series C) 2.4 Ω, parallel D) 2.4 Ω, series E) 9.0 Ω, series 8. An LC circuit has an inductance of 20 mh and a capacitance of 5.0 μf. At time t = 0 the charge on the capacitor is 3.0 μc and the current is 7.0 ma. The total energy is: A) J B) J C) J D) J E) J 9. A conducting sphere of radius 0.01 m has a charge of C deposited on it. The magnitude of the electric field in N/C just outside the surface of the sphere is: A) zero B) 450 C) 900 D) 4500 E) 90, Two charged point particle are located at two vertices of an equilateral triangle and the electric field is zero at the third vertex. We conclude: A) the two particles have charges with opposite signs and the same magnitude B) the two particles have charges with opposite signs and different magnitudes C) the two particles have identical charges D) the two particles have charges with the same sign but different magnitudes E) at least one other charged prticle is present 11. A wire contains a steady current of 2 A. The number of electrons that pass a cross section in 2 s is: A) 2 B) 4 C) D) E) Page 3
4 12. In a sinusoidally driven series RLC circuit, the inductive resistance is X L = 200 Ω, the capacitive reactance is X C = 100 Ω, and the resistance is R = 50 Ω. The current and applied emf would be in phase if: A) the resistance is increased to 100 Ω, with no other changes B) the resistance is increased to 200 Ω, with no other changes C) the inductance is reduced to zero, with no other changes D) the capacitance is doubled, with no other changes E) the capacitance is halved, with no other changes 13. The potential difference between its ends of a 2meter stick that is parallel to a uniform electric field is 400 V. The magnitude of the electric field is: A) zero B) 100 V/m C) 200 V/m D) 400 V/m E) 800 V/m 14. An electron enters a region of uniform perpendicular and 4 fields. It is observed that the velocity ² of the electron is unaffected. A possible explanation is: A) ² is parallel to and has magnitude E/B B) ² is parallel to 4 C) ² is perpendicular to both and 4 and has magnitude B/E D) ² is perpendicular to both and 4 and has magnitude E/B E) the given situation is impossible 15. A parallelplate capacitor has a plate area of 0.2 m 2 and a plate separation of 0.1 mm. If the charge on each plate has a magnitude of C the potential difference across the plates is approximately: A) 0 B) V C) V D) V E) V Page 4
5 16. An electron and a proton both each travel with equal speeds around circular orbits in the same uniform magnetic field, as shown in the diagram (not to scale). The field is into the page on the diagram. Because the electron is less massive than the proton and because the electron is negatively charged and the proton is positively charged: A) the electron travels clockwise around the smaller circle and the proton travels counterclockwise around the larger circle. B) the electron travels counterclockwise around the smaller circle and the proton travels clockwise around the larger circle C) the electron travels clockwise around the larger circle and the proton travels counterclockwise around the smaller circle D) the electron travels counterclockwise around the larger circle and the proton travels clockwise around the smaller circle E) the electron travels counterclockwise around the smaller circle and the proton travels counterclockwise around the larger circle 17. A dielectric slab is slowly inserted between the plates of a parallel plate capacitor, while the potential difference between the plates is held constant by a battery. As it is being inserted: A) the capacitance, the potential difference between the plates, and the charge on the positive plate all increase B) the capacitance, the potential difference between the plates, the charge on the positive plate all decrease C) the potential difference between the plates increases, the charge on the positive plate decreases, and the capacitance remains the same D) the capacitance and the charge on the positive plate decrease but the potential difference between the plates remains the same E) the capacitance and the charge on the plate increase but the potential difference between the plates remains the same Page 5
6 18. The diagrams show four possible orientations of an electric dipole in a uniform electric field. Rank them according to the magnitude of the torque exerted on the dipole by the field, least to greatest. A) 1, 2, 3, 4 B) 4, 3, 2, 1 C) 1, 2, 4, 3 D) 3, 2 and 4 tie, then 1 E) 1, 2 and 4 tie, then A certain capacitor, in series with a resistor, is being charged. At the end of 10 ms its charge is half the final value. The time constant for the process is about: A) 0.43 ms B) 2.3 ms C) 6.9 ms D) 10 ms E) 14 ms 20. Two long straight wires are parallel and carry current in the same direction. The currents are 8.0 and 12 A and the wires are separated by 0.40 cm. The magnetic field in tesla at a point midway between the wires is: A) 0 B) C) D) E) Charge Q is distributed uniformly throughout an insulating sphere of radius R. The magnitude of the electric field at a point R/2 from the center is: A) Q/4π5 0 R 2 B) Q/π5 0 R 2 C) 3Q/4π5 0 R 2 D) Q/8π5 0 R 2 E) none of these Page 6
7 22. Two parallel long wires carry the same current and repel each other with a force F per unit length. If both these currents are doubled and the wire separation tripled, the force per unit length becomes: A) 2F/9 B) 4F/9 C) 2F/3 D) 4F/3 E) 6F 23. A square loop of wire lies in the plane of the page. A decreasing magnetic field is directed into the page. The induced current in the loop is: A) counterclockwise B) clockwise C) zero D) up the left edge and from right to left alongthe top edge E) throught the middle of the page 24. A battery is used to charge a parallelplate capacitor, after which it is disconnected. Then the plates are pulled apart to twice their original separation. This process will double the: A) capacitance B) surface charge density on each plate C) stored energy D) electric field between the two places E) charge on each plate Page 7
8 25. The figure shows the motion of electrons in a wire which is near the N pole of a magnet. The wire will be pushed: A) toward the magnet B) away from the magnet C) downwards D) upwards E) along its length 26. In separate experiments, four different particles each start from far away with the same speed and impinge directly on a gold nucleus. The masses and charges of the particles are particle 1: mass m 0, charge q 0 particle 2: mass 2m 0, charge 2q 0 particle 3: mass 2m 0, charge q 0 /2 particle 4: mass m 0 /2, charge 2q 0 Rank the particles according to the distance of closest approach to the gold nucleus, from smallest to largest. A) 1, 2, 3, 4 B) 4, 3, 2, 1 C) 3, 1 and 2 tie, then 4 D) 4, 1 and 2 tie, then 1 E) 1 and 2 tie, then 3, 4 Page 8
9 27. A spherical conducting shell has charge Q. A particle with charge q is placed at the center of the cavity. The charge on the inner surface of the shell and the charge on the outer surface of the shell, respectively, are: A) 0, Q B) q, Q q C) Q, 0 D) q, Q + q E) q, Of the following the copper conductor that has the least resistance is: A) thin, long and hot B) thick, short and cool C) thick, long and hot D) thin, short and cool E) thin, short and hot 29. In an RLC series circuit, the source voltage is leading the current at a given frequency f. If f is lowered slightly, then the circuit impedance will: A) increase B) decrease C) remain the same D) need to know the amplitude of the source voltage E) need to know whether the phase angle is larger or smaller than Points R and T are each a distance d from each of two particles with charges of equal magnitudes and opposite signs as shown. If k = 1/4π5 0, the work required to move a particle with negative charge q from R to T is: A) zero B) kqq/d 2 C) kqq/d D) kqq ( 2d ) E) kqq/(2d) Page 9
10 31. Each of the three 25μF capacitors shown is initially uncharged. How many coulombs of charge pass through the ammeter A after the switch S is closed? A) 0.10 B) 0.20 C) 10 D) 0.05 E) none of these 32. Particles 1, with charge q 1 and 2, with a charge q 2 are on the x axis, with particle 1 at x = a with and particle 2 at x = 2a. For the net force on a third charged particle, at the origin to be zero q 1 and q 2 must be related by q 2 =: A) 2q 1 B) 4q 1 C) 2q 1 D) 4q 1 E) q 1 /4 33. The impedance of the circuit shown is: A) 21 Ω B) 50 Ω C) 63 Ω D) 65 Ω E) none of the above Page 10
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