Two coupled inductors L1 = 8H and L2 = 32H have coefficient of coupling K = 0.4. The mutual inductance between them is

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SSC JE Electrical 07 Jun 2024 Shift 3 Official Paper - 1
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  1. 40 H
  2. 64 H
  3. 102.4 H
  4. 6.4 H

Answer (Detailed Solution Below)

Option 4 : 6.4 H
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Coefficient of coupling

The coefficient of coupling can be defined as a magnetic flux that is produced between two different coils while managing the flux successfully.

\(k={M\over \sqrt{L_1L_2}}\)

where, k = Coefficient of coupling

M = Mutual inductance

Land L2 = Self-inductance of two coils

Calculation

Given, L1 = 8H and L2 = 32H

k = 0.4

\(0.4={M\over \sqrt{8\times 32}}\)

M = 6.4 H

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