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MHT CET 2026 (17 Apr, Shift 1) · Combination of Inductors, LR & LC Circuits

Combination of Inductors, LR & LC Circuits question from MHT CET 2026 (17 Apr, Shift 1)

Q5MHT CET 2026 · 17 APR · SHIFT 1Medium

Combination of Inductors, LR & LC Circuits

Three coils of inductance, $L_1$ = 2 H, $L_2$ = 3 H and $L_3$ = 6 H are connected so that they are separated from each other. To obtain the effective inductance of $\frac{18}{11}$ H between points A and B, out of the following figures, the correct one is

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Answer: (b)

(P) series: $11$ H; (Q) parallel: $1$ H.
(R): $(L_1 + L_2) \parallel L_3 = \frac{5\times6}{11} = \frac{30}{11}$ H.
(S): $L_1 \parallel (L_2 + L_3) = \frac{2\times9}{2+9} = \frac{18}{11}$ H.
So the answer is (b) S.

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