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Q.

Two inductors connected in parallel are equivalent to a single inductor of inductance 2 H. When connected in series, the inductors are equivalent to an inductor of inductance of 9 H. The difference in their respective inductances is (neglect mutual inductances)

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a

4 H

b

2 H

c

3 H

d

6 H

answer is D.

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Detailed Solution

$\frac{1}{L_{P}} = \frac{1}{L_{1}} + \frac{1}{L_{2}}, L_{S} = L_{1} + L_{2}$

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Two inductors connected in parallel are equivalent to a single inductor of inductance 2 H. When connected in series, the inductors are equivalent to an inductor of inductance of 9 H. The difference in their respective inductances is (neglect mutual inductances)