In the following figure, if L1 = 2 mH, L2 = 3 mH and L3 = 7 mH, find the total inductance between terminals A and B:

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MPPGCL JE Electrical 28 April 2023 Shift 2 Official Paper
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  1. 4 mH
  2. 8 mH
  3. 12 mH
  4. 16 mH

Answer (Detailed Solution Below)

Option 3 : 12 mH
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Detailed Solution

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Concept

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

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

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

\({1\over L_{eq}}={1\over L_1}+{1\over L_2}.........{1\over L_n}\)

Calculation

Given, L1 = 2 mH, L2 = 3 mH and L3 = 7 mH

The given inductors are connected in series.

\(L_{eq}=2+3+7=12\space mH\)

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