Coefficient of coupling between two coils is given as ______, where M = Mutual Inductance, L1 = Self Inductance of coil 1 and L2 = Self Inductance of coil 2 

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RRB JE EE 22 Apr 2025 Shift 1 CBT 2 Official Paper
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  1. \(\rm \frac{M}{\sqrt{L_1L_2}}\)
  2. \(\rm \frac{\sqrt{L_1L_2}}{M}\)
  3. \(\rm M\sqrt{L_1L_2}\)
  4. L1L2.M

Answer (Detailed Solution Below)

Option 1 : \(\rm \frac{M}{\sqrt{L_1L_2}}\)
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Detailed Solution

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Concept:

The coefficient of coupling (k) between two coils indicates how effectively energy is transferred from one coil to another through mutual inductance. It is a dimensionless quantity ranging from 0 (no coupling) to 1 (perfect coupling).

Calculation

The formula for coefficient of coupling is:

\( k = \frac{M}{\sqrt{L_1 \cdot L_2}} \)

This formula expresses how mutual inductance relates to the geometric mean of the self-inductances of the two coils.

Hence, the correct option is the one showing: M / √(L₁L₂)

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