Answered: inductance

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter15: Alternating-current Circuits

Section: Chapter Questions

Problem 26P: A resistor and inductor are connected in series across an ac generator. The emf of the generator is...

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Question

A resistor and inductor are connected to a 9.0 V battery by a switch as shown. The moment the switch is closed, current flows through the circuit. The resistor has a resistance of R = 440 Ω and the inductor has an inductance of L = 150 mH.

a) write an equation that relates the current as a function of time i(t) to the maximum current, imax. Express the equation in terms of imax and α, where α = -t/T (time constant).

b) determine the time, in seconds, at which the current has a value of i(t50) = 50% of imax.

c) determine the time, in seconds, at which the current has a value of i(t99) = 99% of imax.

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