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Questions  

In an LR circuit, time constant is that time in which current grows from zero to the value (where I0 is the steady state current)

a
0.63 I0
b
0.50 I0
c
0.37 I0
d
I0

detailed solution

Correct option is A

Current at any instant of time t after closing an L-R circuit is given by I=I0I-e-RLt Time constant, t=LR∴I=I0I0-e-RL×LR=I01-e-1=I01-1e=I01-12.718=0.63I0=63% of I0

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