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In the circuit shown the key (K) is clos...

In the circuit shown the key `(K)` is closed at `t=0`, the current through the key at the instant `t=10^-3 ln, 2` is

A

`2A`

B

`8A`

C

`4A`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
A
`tau_L=L/R=0.01/10=10^-3s`
`tau_C=CR=(0.1xx10^-3)(10)=10^-3s`
`(i_0)_L=20/10=2A`
`(i_0)_C=20/10=2A`
The given time is the half life time of both the circuits.
`:. i_L=i_C=2/2=1A`
or total current is `2A`.
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