Given the circuit shown in Figure, assume that switch S has been closed for a long time

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Given the circuit shown in Figure, assume that switch S has been closed for a long time so that steady currents exist in the circuit and that the inductor L?is made of superconducting wire so that its resistance may be considered to be zero.

(a) Find the battery current, the current in the 100-? resistor, and the current through the inductor.

(b) Find the initial voltage across the inductor when switch S is opened.

(c) Give the current in the inductor as a function of time measured from the instant of opening switch S.

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