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

Question

In the figure shown, a circuit contains two identical resistors with resistance

R = 5Ω

and an inductance with

L = 2mH .

An ideal battery of

15V

is connected in the circuit. What will be the current through the battery long after the switch is closed?

In the figure shown, a circuit contains two identical resistors with resistance R = 5Ω and an inductance with L = 2mH .

In the figure shown, a circuit contains two identical resistors with resistance R = 5Ω and an inductance with L = 2mH .

Quantrex Academy · Accepted Answer

Correct answer: B. 6A

In the figure shown, a circuit contains two identical resistors with resistance R = 5Ω and an inductance with L = 2mH .

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,

$R = \dfrac{5}{2} = 2 . 5Ω$

Hence, the current through the circuit will be,

$I = \dfrac{V}{R} = \dfrac{15}{2.5} = 6A$

In the figure shown, a circuit contains two identical resistors...

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