Two identical coils A and B have 400 turns placed such that 60% of flux produced by one coil links with the other. If a current of 10A flowing in coil A produces a flux of 20 mWb in it, find the mutual inductance between coil A and B.

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SSC JE Electrical 06 Jun 2024 Shift 2 Official Paper - 1
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  1. 10 H
  2. 0.48 H
  3. 480 H
  4. 100 H

Answer (Detailed Solution Below)

Option 2 : 0.48 H
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Detailed Solution

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Concept

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The value of the mutual inductance is given by:

\(M={N_B\space × \spaceϕ_{BA}\over {I_A}}\)

where, M = Mutual inductance

Calculation

Given, NB = 400

IA = 10 A

ϕA = 20 mWb

60% of the flux produced by coil A links with coil B.

ϕBA = 0.6 × ϕA

ϕBA = 0.6 × 20 mWb = 12 mWb

\(M={400\space × 12\times 10^{-3}\over 10}=0.48H\)

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