`consider the circuit part a what is the current through the battery?`

# consider the circuit part a what is the current through the battery?

consider the circuit part a what is the current through the battery?

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Current through the battery after a long time,

I=ReqE=R1R2E(R1+R2) as then inductor will not hinder.

When the circuit comes in steady state, that is after a long times, the current through the inductor is

Io=R1E

And, the time constant is τ=R1L since only R1 affects the current in the inductor, otherwise potential difference is always E across that branch.

Hence,

I=Io⎝⎛1−e−τt⎠⎞

⟹I=R1E⎝⎜⎜⎛1−e−LR1t⎠⎟⎟⎞

At t=τ

I=R1E(1−e1)