Question

You are testing prototype designs for a wireless charging system. One part of the system consists of a LR series circuit with a switch, a DC voltage source with voltage ε, a resistor with resistance R, and an inductor in the form of a solenoid with radius a and length H that has N turns. The second part of the system consists of a circular wire loop with radius b (b>a) that goes around the solenoid. The center of the wire loop is located at the center of the solenoid and both the loop and the solenoid share the same axis. Your boss has asked you to calculate the emf induced in the wire loop at the instant the switch is closed, energizing the solenoid. As a first approximation, you decide to assume that the solenoid is much much longer than its radius. Express your answer in terms of given quantities and known constants.

Answer 1

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