An inductor of 0.1 H is connected in series with an inductor of 0.4 H. If the coefficient of coupling is 0.6, then find the mutual inductance between them.

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HPCL Engineer Electrical 01 Nov 2022 Official Paper
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  1. 0.12 H
  2. 0.5 H
  3. 0.6 H
  4. 0.3 H

Answer (Detailed Solution Below)

Option 1 : 0.12 H
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Detailed Solution

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The correct answer is option 1):(0.12 H)

Concept:

When two coils are connected in series additive polarity, the equivalent inductance is

Leq1 = L1 + L2 + 2M

M = K 

Where L1 and L2 are self-inductances of the coils M is the mutual inductance

Calculation:

Given that, L1= 0.1 H,

L2 = 0.4 H

K = 0.6 

For additive polarity, 

M = K 

M = 0.6 

= 0.12 H

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