The relation between mutual inductance (M), self inductance (L) and coefficient of coupling (K) is given by:

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MPPGCL JE Electrical 19 March 2019 Shift 2 Official Paper
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  1. \(M=K \sqrt{L_{1} L_{2}}\)
  2. \(M=\frac{K}{\sqrt{L_{1} L_{2}}}\)
  3. \(M=\frac{K}{L_{1} L_{2}}\)
  4. \(M^{2}=K \sqrt{L_{1} L_{2}}\)

Answer (Detailed Solution Below)

Option 1 : \(M=K \sqrt{L_{1} L_{2}}\)
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Detailed Solution

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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.

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

\(M=K \sqrt{L_{1} L_{2}}\)

where, k = Coefficient of coupling

M = Mutual inductance

Land L2 = Self-inductance of two coils

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