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  4. For the given circuit the current i through the battery when the key in closed and the steady state has been reached is

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Q. For the given circuit the current $i$ through the battery when the key in closed and the steady state has been reached is______Physics Question Image

JEE MainJEE Main 2021Electromagnetic Induction

Solution:

In steady state, inductor behaves as a conducting wire.
So, equivalent circuit becomes
image
$\frac{1}{ R _{\text{eq }}}=\frac{1}{3}+\frac{1}{3}+\frac{1}{3}=1$
$\Rightarrow R _{\text{eq }}=1 \Omega$
$\Rightarrow $ Circuit becomes
image
$\Rightarrow i =\frac{30}{3}=10 A$