Question 135 of 190

In the figure shown, a circuit contains two identical resistors with resistance $R=5 \Omega$ and an inductance with $L=2 mH.$ An ideal battery of $15V$ is connected in the circuit. What will be the current through the battery long after the switch is closed?

A$5.5A$B$6A$C$3A$D$7.5A$

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Answer: (B) $6A$

After a long time, when the growth of current in the circuit has stopped, the inductor will work as a conductor. Therefore the effective resistance of the circuit will be,
$R=\dfrac{5}{2}=2.5\Omega$
Hence, the current through the circuit will be,
$I=\dfrac{V}{R}=\dfrac{15}{2.5}=6A$