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The net inductance of the magnetic circuit shown in figure is equal to:

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MPPGCL JE Electrical 28 April 2023 Shift 1 Official Paper
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  1. L1 + L2 - 2M
  2. L1 + L2 - M
  3. L1 + L2 + 2M
  4. L1 + L2 + M

Answer (Detailed Solution Below)

Option 3 : L1 + L2 + 2M
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Detailed Solution

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Series aiding connection

The equivalent inductance of the series aiding connection is:

qImage66c586b407031592c8a23458

\(L_{eq}=L_1+L_2+2M\)

 The equivalent inductance of the series opposing connection is:

qImage66c586b407031592c8a23459

\(L_{eq}=L_1+L_2-2M\)

Additional Information 
Parallel aiding connection

 

The equivalent inductance of the parallel aiding connection is:

qImage66c586b307031592c8a23453

\(L_{eq}={L_1L_2-M^2\over L_1+L_2-2M}\)

The equivalent inductance of the parallel opposing connection is:

qImage66c586b407031592c8a23455

\(L_{eq}={L_1L_2-M^2\over L_1+L_2+2M}\)

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