Find the value of equivalent inductance across terminal AB in the following circuit.

F2 ENG Savita 17-1-24 D1

This question was previously asked in
SSC JE Electrical 10 Oct 2023 Shift 2 Official Paper-I
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  1. 36 H
  2. 26 H
  3. 23 H
  4. 50 H

Answer (Detailed Solution Below)

Option 3 : 23 H
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Detailed Solution

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Concept

When two inductors are connected in series, the equivalent inductance is given by:

\(L_{eq}=L_1+L_2\)

When two inductors are connected in parallel, the equivalent inductance is given by:

\(L_{eq}={L_1L_2\over L_1+L_2}\)

Calculation

3H and 1H are connected are series.

L = 3 + 1 = 4H

4H and 12H are connected in parallel.

\(L={4\times 12\over 4+12}=3H\)

5H, 3H and 15H are connected in series.

Leq = 23 H

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