Three identical resistors with resistance $R = 12Ω$ and two identical inductors with sell inductance $L = 5mH$ are connected to an ideal battery with emf of $12V$ as shown in figure. The current through the battery long after the switch has been closed will be________ $A$ .

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Three identical resistors with resistance R = 12Ω and two identical inductors with sell inductance L = 5mH are

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Three identical resistors with resistance R = 12Ω and two identical inductors with sell inductance L = 5mH are

We know that after long time an inductor offers zero resistance i.e., in steady state condition.

Here all three identical resistors are in parallel, so equivalent resistance is, ${R}_{eq} = \dfrac{12}{3} = 4Ω$

Now, current through the battery is $I = \dfrac{12}{4} = 3A$

Three identical resistors with resistance R = 12Ω and two identical...

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