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MHT CET 2023 (13 May, Shift 1) · Combination of Inductors, LR & LC Circuits

Combination of Inductors, LR & LC Circuits question from MHT CET 2023 (13 May, Shift 1)

Q20MHT CET 2023 · 13 MAY · SHIFT 1Medium

Combination of Inductors, LR & LC Circuits

Three coils of inductance $L_1 = 2\text{ H}, L_2 = 3\text{ H}$ and $L_3 = 6\text{ H}$ are connected such that they are separated from each other. To obtain the effective inductance of 1 henry, out of the following combinations as shown in figure, the correct one is

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Answer: (d)

(P) series gives $2+3+6 = 11$ H.
(Q) parallel: $\frac{1}{L} = \frac{1}{2}+\frac{1}{3}+\frac{1}{6} = 1 \Rightarrow L = 1$ H.
So the answer is (d) Q.

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