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

`(V(R_1+R_2))/(R_1R_2)` at `t = 0 and V/(R_2) ` at `t=oo`

B

`(V(R_1+R_2))/(sqrt(R_1^2+R_2^2))` at `t = 0 and V/(R_2) ` at `t=oo`

C

`V/R_2 ` at `t = 0 (V(R_1+R_2))/(R_1R_2) ` at `t=oo`

D

`V/R_2 ` at `t = 0 (V(R_1+R_2))/(sqrt(R_1^2+R_2^2)) ` at `t=oo`

Verified by Experts

The correct Answer is:

C

At t = 0 , inductor will open the circuit
`i=V/R_2`

At `t rarr oo` inductor short circuit
`i=(V(R_1+R_2))/(R_1R_2)`

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