31.What is the equivalent resistance between points A and B in the figure when R = 20 Ω?

(A) 20 Ω
(B) 40 Ω
(C) 70 Ω
(D) 90 Ω
(E) 84 Ω

32.A 2.0-m wire carries a current of 15 A directed along the positive x axis in a region where the magnetic field is uniform and given by B = mT. What is the resulting magnetic force on the wire? (A)(B) (C)(D) (E)

33.At t = 0 the switch S is closed with the capacitor uncharged. If C = 30 µF, ε = 30 V, and R = 5.0 kΩ, at what rate is energy being stored in the capacitor when I = 2.0 mA? (A) 15 mW (B) 40 mW (C) 45 mW (D) 70 mW (E) 90 mW

34.We find that N current loops are coplanar and coaxial. The first has radius a and current I. The second has radius 2a and current 2I, and the pattern is repeated up to the Nth, which has radius Na and current NI. The current in each loop is counterclockwise as seen from above. The magnitude of the magnetic field at the center of the loops is (A) µ0I / 2Na (B) µ0I / Na (C) µ0I /2a (D) µ0NI / 2a (E) µ0NI / a

35.A wire with current I is bent into the shape in a uniform magnetic field B as shown in the figure. Determine the net magnetic force on the wire. (A) IBL in the +z direction (B) IBL in the -z direction (C) √3IBL in the +z direction (D) √2IBL in the -z direction (E) Zero

36.A square loop (L = 0.20 m) consists of 50 closely wrapped turns, each carrying a current of 0.50 A. The loop is oriented as shown in a uniform magnetic field of 0.40 T directed in the positive y direction. What is the magnitude of the torque on the loop? (A) 0.15 N · m (B) 0.35 N · m (C) 0.55 N · m (D) 0.75 N · m (E) 1.73 N · m

37.Coaxial Cable A has twice the length, twice the radius of the inner solid conductor, and twice the radius of the outer cylindrical conducting shell of coaxial Cable B. What is the ratio of the inductance of Cable A to that of Cable B? (A) 4 ln 2 (B) 2 ln 2 (C) ln 2 (D) 4 ln 4 (E) 2

38.For the circuit shown, what is the rate of change of the current in the inductor when the current in the battery is 0.50 A? (A) 200 A/s (B) 300 A/s (C) 400 A/s (D) 500 A/s (E) 600 A/s

39.A flat coil of wire consisting of 20 turns, each with an area of 50 cm2, is positioned perpendicularly to a uniform magnetic field that increases its magnitude at a constant rate from 2.0 T to 6.0 T in 2.0 s. If the coil has a total resistance of 0.40 Ω, what is the magnitude of the induced current? (A) 0.2 A (B) 0.5 A (C) 0.7 A (D) 0.9 A (E) 1.0 A

40.An open circuit consists of a 12 µF parallel plate capacitor charged to 200 V and a 10 Ω resistor. At the instant when a switch closes the circuit (with no battery in it) the displacement current between the plates of the capacitor is (A) 1.2 µA (B)  (C) 2.4 mA (D) 10 A (E) 20 A

41.If the maximum E-component of an electromagnetic wave in free space is 600 V/m, what is the maximum B-component? (A) 1.4 T (B) (C)(D)(E) 1.8 × T

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