In the circuit shown, when the current ' i ' is 3 A and increasing at… | MHT CET 2026 (18 Apr, Shift 1)

Q12MHT CET 2026 · 18 APR · SHIFT 1Difficult

Combination of Inductors, LR & LC Circuits

In the circuit shown, when the current ' $i$ ' is $3$ A and increasing at the rate of $1$ A/s the measurement of the potential difference between A and B is $12$ V. But when the same current $3$ A is decreasing at the rate of $1$ A/s, the measured potential difference $V_{AB}$ between A and B is $6$ V. The value of 'R' in the circuit is

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Answer: (a)

Current flows from $A$ through $R$ and $L$ to $B$ , so $V_{AB} = iR + L\frac{di}{dt}$ .
Increasing: $12 = 3R + L(1)$
Decreasing: $6 = 3R - L(1)$
Adding: $6R = 18 \Rightarrow R = 3\,\Omega$ (and $L = 3\text{ H}$ ).
So the answer is (a) $3\,\Omega$ .

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Combination of Inductors, LR & LC Circuits question from MHT CET 2026 (18 Apr, Shift 1)

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