JEE Main 12 Jan 2019 Morning Question 28

Question: 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]

Options:

A) 3 A

B) 5.5 A

C) 7.5 A

D) 6 A

Show Answer

Answer:

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 $