Two coils, A and B, have self-inductances of 120 μH and 300 μH, respectively. When acurrent of 1 A flows through coil A, it induces a flux linkage of 100 μWb turns in coil B. What is the mutual inductance between the coils?
100 μH
The mutual inductance between two coils can be defined using the formula for induced electromotive force (EMF) and flux linkage. Given that a current of 1 A through coil A creates a flux linkage of 100 μWb turns (weber-turns) in coil B, we can use the following relationship for mutual inductance \(M\):
\( M = \frac{\text{flux linkage in coil B}}{\text{current in coil A}} \)
Substituting the given values:
\( M = \frac{100\,μ\text{Wb-turns}}{1\,\text{A}} \)
Therefore, the mutual inductance \(M\) is:
\( M = 100\,μ\text{H} \)
The mutual inductance between the coils is thus 100 μH which matches the correct answer.
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