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MHT CET 2021 (20 Sep, Shift 1) · Inductors & DC Transients (Mixed)

Inductors & DC Transients (Mixed) question from MHT CET 2021 (20 Sep, Shift 1)

Q12MHT CET 2021 · 20 SEP · SHIFT 1Medium

Inductors & DC Transients (Mixed)

An inductor coil wound uniformly has self inductance 'L' and resistance 'R'. The coil is broken into two identical parts. The two parts are then connected in parallel across a battery of 'E' volt of negligible internal resistance. The current through battery at steady state is

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Answer: (c)

Each half has resistance $\frac{R}{2}$ .
At steady state the inductance has no effect, only resistance matters.
Two $\frac{R}{2}$ in parallel give $\frac{R}{4}$ , so $I = \frac{E}{R/4} = \frac{4E}{R}$
So the answer is (c) $\frac{4E}{R}$ .

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