Final-solutions 1

# 9pt answer the following multiple choice questions

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Unformatted text preview: multiple choice questions. You do not need to justify your answers, but can get partial credit if you show your work. (a) [3pt] A charge is located at the center of a spherical conducting shell. The shell has an inner radius of and an outer radius of . There is a net charge of on the conducting shell. How much charge is on the outer surface of the shell (at radius 6.00 m)? (A) 3 nC (B) 5 nC (C) 8 nC 6m 3m • (D) 11 nC There must be nC of charge on the inner surface of the conductor to screen the charge at the center, so in the conductor. The total charge on the conductor is +8 nC, so 11 nC must be on the outer surface. (b) [3pt] How much current flows from the battery when the switch is closed? (A) 1.09 A (B) 8.00 A (C) 9.14 A (D) 12.5 A The equivalent resistance is Then (c) [3pt] A cylindrical capacitor consists of an inner conductor of radius surrounded by an outer conductor of radius The length of the cylinder is . What is its capacitance? This comes from integrating the electric field find and then using between the conductors to to obtain (D). 9 9. [12pt] Answer the following multiple choice questions. You do not need to justify your answers, but can get partial credit if you show your work. (a) [3pt] A 12-V battery is connected to a 4- resistor using a rigid rectangular loop of wire. Three meters of wire at the end of the loop extends into a region with a uniform magnetic field of 0.2 T directed into the page that has dimensions of 2.0 m 2.0 m as shown in the figure below. What is the net force on the loop? (A) 0.6 N (B) 0.8 N (C) 1.2 N (D) 1.8 N (E) 2.4 N and the forces on the horizontal segments cancel, so only the vertical segment contributes, giving (b) [3pt] The figure shows a top view of a conducting bar of length cm that can slide on conducting rails which are terminated by a resistor 2.40 . A constant, uniform magnetic fiel...
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