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Three identical resistors with resistance $\mathrm{R = 12\Omega }$ and two identical inductors with self inductance $\mathrm{ L= 5mH}$ are connected to an ideal battery with emf of $\mathrm{ 12 V}$ as shown in the figure. The current through the battery long after the switch has been closed will be _______ A.

Option: 1
3

Option: 2
-

Option: 3
-

Option: 4
-

Answers (1)

After a long time an inductor behaves as a resistance-less path.

i.e Short all inductor

$\mathrm{Req.=\frac{R}{3}=\frac{12}{3}=4\Omega }$

$\mathrm{I=\frac{12}{4}=3A}$

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Kshitij

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