The switch in the circuit is closed at $t = 0$ . Find the current through the cell immediately after the switch is closed.

1 A

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2 A

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3 A

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4 A

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Solution

The correct option is B $2 A$
At $t = 0$ current in the circuit starts to grow and it has not reached steady state.
$∴$ Immediately after the switch is closed, inductor will act as $\infty$ resistance $&$ current will not enter the branch containing inductor.

circuit is effectively as shown, hence $2 Ω$ adjacent to inductor will be of no use.
$i = \frac{V}{R_{e q}}$
$∴ i = \frac{6}{(1 + 2)} = 2 A$

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The switch in the circuit is closed at t=0. Find the current through the cell immediately after the switch is closed.

The switch in the circuit is closed at $t = 0$ . Find the current through the cell immediately after the switch is closed.