question_answer

In the figure shown, a circuit contains two identical resistors with resistance \[R=5\Omega \] and an inductance with L=2mH. An ideal battery of 15 V is connected in the circuit. What will be the current through the battery long after the switch is closed? [JEE Main Online Paper Held On 12-Jan-2019 Morning]

A) 3 A                              

B) 5.5 A

C) 7.5 A              

D)   6 A

Correct Answer: D

Solution :

The coil offers zero resistance, after the switch is closed for a long time.          \[I=\frac{V}{(R\times R)/(R+R)}=\frac{V\times 2R}{{{R}^{2}}}=\frac{V\times 2}{R}=6A\]