Alternating Current

JEE Main level, numerical answer, medium

189 of 190

Question 189 of 190

Three identical resistors with resistance R=12ΩR=12\Omega and two identical inductors with sell inductance L=5mHL=5mH are connected to an ideal battery with emf of 12V12V as shown in figure. The current through the battery long after the switch has been closed will be________AA.

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Answer: 3


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, Req=123=4Ω{R}_{eq}=\dfrac{12}{3}=4\Omega
Now, current through the battery is I=124=3AI=\dfrac{12}{4}=3A

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