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Alternating Current Applied to an Inductor

A series RC c...

Question

A series RC circuit has $R = 50 Ω$ and C = 20 mF. Find the time at which the current is half the steady state value.

A

ln (3) s

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B

ln (5) s

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C

2 s

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D

ln (2) s

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Solution

The correct option is D ln (2) s
$I = I_{0} e^{\frac{- t}{R C}}$
$\frac{I_{0}}{2} = I_{0} e^{- t}$
$∴ t = l n (2) s$

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