Determine the emf of the battery. (b) Determine the current in the circuit after one time constant has elapsed. (c) Determine the voltage across the inductor after one time constant has elapsed. (d) Determine the rate of change of the current after one time constant.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter23: Faraday’s Law And Inductance
Section: Chapter Questions
Problem 40P
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A battery is connected in series with an 

R = 3.50-Ω

 resistor and an 

L = 0.530-H

 inductor, as in the figure. The switch S is closed at 

t = 0

 and the maximum current in the circuit is 

Imax = 4.20 A.
(a) Determine the emf of the battery.
(b) Determine the current in the circuit after one time constant has elapsed.
(c) Determine the voltage across the inductor after one time constant has elapsed.
(d) Determine the rate of change of the current after one time constant.
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