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The mutual inductance between two coils having self inductances 3 henry and 12 henry and coupling coefficient 0.85 is
  • a)
    12.75 henry
  • b)
    5.1 henry
  • c)
    0.425 henry
  • d)
    1.7 henry
Correct answer is option 'B'. Can you explain this answer?
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The mutual inductance between two coils having self inductances 3 henr...
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The mutual inductance between two coils having self inductances 3 henr...
Given:
Self-inductance of coil 1 (L1) = 3 H
Self-inductance of coil 2 (L2) = 12 H
Coupling coefficient (k) = 0.85

To Find:
Mutual inductance (M)

Solution:
The mutual inductance between two coils can be calculated using the formula:

M = k * sqrt(L1 * L2)

where,
k = coupling coefficient
L1 = self-inductance of coil 1
L2 = self-inductance of coil 2

Substituting the given values:
M = 0.85 * sqrt(3 * 12)
M = 0.85 * sqrt(36)
M = 0.85 * 6
M = 5.1 H

Therefore, the mutual inductance between the two coils is 5.1 Henry.
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The mutual inductance between two coils having self inductances 3 henry and 12 henry and coupling coefficient 0.85 isa)12.75 henryb)5.1 henryc)0.425 henryd)1.7 henryCorrect answer is option 'B'. Can you explain this answer?
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