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In the circuit shown below, the key K is...

In the circuit shown below, the key K is closed at t =0. The current through the battery is

A

`(VR_(1)R_(2))/sqrt(R_(1)^(2)+R_(2)^(2))` at `t=0` and `V/R_(2)` at `t=oo`

B

`V/R^(2)` at `t=0` and `(V(R_(1)+R_(2)))/(R_(1)R_(2))` at `t=oo`

C

`V/R_(2)` at `t=0` and `(VR_(1)R_(2))/sqrt(R_(1)^(2)+R_(2)^(2))`at `t=oo`

D

`(V(R_(1)+R_(2)))/(R_(1)R_(2))` at `t=0` and `V/R_(2)` at `t=oo`

Text Solution

Verified by Experts

The correct Answer is:
2
At `t=0`, current does not flow through inductor.
`:. i=V/R_(2)`, At `t=oo`
`implies R_(eq)=(R_(1)R_(2))/(R_(1)+R_(2)) implies :. i=(V(R_(1)+R_(2)))/(R_(1)R_(2))`
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