Question

A series circuit contains a 5.10-H inductor, a 5.50-Ω resistor, and a 8.00-V battery. The current is initially zero when the circuit is connected at t=0. At what time will the current reach the following?

(a) 33.3 % of its final value

(b) 95.0 % of its final value

Answer 1

a)

i = io e^( - t/ L/R)

0.333 = e^( - t * 5.5 / 5.1)

t = 1.02 s

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b)

0.95 = e^( - t * 5.5 / 5.1)

t = 1.439 s

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