Solved: The current i(t) in an RL circuit is governed by the differential equation di dt

Chapter 10, Problem 47

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The current i(t) in an RL circuit is governed by the differential equation di dt + R L i = 1 L E(t), where R and L are constants and E(t) represents the applied EMF. At t = 0, the switch in the circuit is closed, and the applied EMF increases linearly from 0 V to 10 V in a time interval of 5 seconds. The EMF then remains constant for t 5. Determine the current in the circuit for t 0.

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