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Physics Question on Alternating current

Three identical resistors with resistance R=12ΩR =12\, \Omega and two identical inductors with self inductance LL =5mH=5\, mH are connected to an ideal battery with emf of 12V12\, V as shown in figure. The current through the battery long after the switch has been closed will be ______A.
Resistor Circuit

Answer

The correct answer is 3.
After long time an inductor behaves as a resistance-less path.
So current through cell
I=R/312​=3A{∵R=12Ω}