Two coils, A and B, are arranged parallel to each other. When the current in coil A increases at the rate of 20 A/s and current in coil B is 5 A/s, the induced emf in coil B is 60 mV. The mutual inductance of the two coils is:

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  1. 5 mH
  2. 3 mH
  3. 6 mH
  4. 4 mH

Answer (Detailed Solution Below)

Option 2 : 3 mH
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Detailed Solution

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Concept:

  • When two coils are arranged in such a way that a change of current in one coil causes an emf to be induced in the other, the coils are said to have mutual inductance.
  • The mutual inductance is denoted letter M and measured in Henry.
  • Induced emf in coil A due to the change in current in coil B is 
  • Where, di = change in current, dt = change in time, M = mutual inductance

Calculation:

Given,  = 20 A/s,  = 5 A/s, eB = 60 mV

From coil B, from the Reciporicity theorem 

⇒ 60 = M × 20

M = 3 mH

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