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The coefficient of coupling between two coils is 0.45. The first coil has an inductance of 75 mH and the second coil has an inductance of 105 mH. What is the mutual inductance between the coils?
  • a)
    3.54 mH
  • b)
    39.9 mH
  • c)
    7.88 mH
  • d)
    189.3 mH
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The coefficient of coupling between two coils is 0.45. The first coil ...
Calculation of Mutual Inductance
- Given data:
- Coefficient of coupling (k) = 0.45
- Inductance of first coil (L1) = 75 mH
- Inductance of second coil (L2) = 105 mH
- Formula to calculate mutual inductance (M) between the coils:
- M = k * sqrt(L1 * L2)

Substitute the given values into the formula
- M = 0.45 * sqrt(75 * 105)
- M = 0.45 * sqrt(7875)
- M = 0.45 * 88.7
- M = 39.915 mH
Therefore, the mutual inductance between the coils is 39.9 mH, which is closest to option B.
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Community Answer
The coefficient of coupling between two coils is 0.45. The first coil ...
Concept:
Coefficient of Coupling (k):
The coefficient of coupling (k) between two coils is defined as the fraction of magnetic flux produced by the current in one coil that links the other.
Two coils have self-inductance L1 and L2, then mutual inductance M between them then Coefficient of Coupling (k) is given by 
N1 and N2 is the number of turns in coil 1 and coil 2 respectively
A is the cross-section area
l is the length
Calculation:
Given,
L1 = 75 mH
L2 = 105 mH
k = 0.45 
From the above concept,
M = 39.93 mH
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The coefficient of coupling between two coils is 0.45. The first coil has an inductance of 75 mH and the second coil has an inductance of 105 mH. What is the mutual inductance between the coils?a)3.54 mHb)39.9 mHc)7.88 mHd)189.3 mHCorrect answer is option 'B'. Can you explain this answer?
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