A battery is connected in series with a R = 0.31 ? resistor and an inductor, as

Question

A battery is connected in series with a R = 0.31 ? resistor and an inductor, as shown in the figure below. The switch is closed at t = 0. The time constant of the circuit is ? = 0.20 s, and the maximum current in the circuit is I = 7.9 A. Find the following. (a) the emf of the battery V (b) the inductance of the circuit mH (c) the current in the circuit after one time constant has elapsed A (d) the voltage across the resistor and the voltage across the inductor after one time constant has elapsed resistor V inductor V

Explanation / Answer

a) E/R=I E=2.449 V b) L/R=time constant L/.31=.2 L=.062 H c) 7.9(1-e^-1) =4.98 A d) Vr=IR=1.54 Vl=E-Vr=.9 V

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