Mutual inductance between two coils – Rankers Physics

Mutual Induction: Practice Problem & Solution

Two coils of self inductance \(2\text{ mH}\) and \(8\text{ mH}\) are placed so close together that the effective flux in one coil is completely linked with the other. The mutual inductance between these coils is:
\(16\text{ mH}\)
\(10\text{ mH}\)
\(6\text{ mH}\)
\(4\text{ mH}\)

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Mutual Induction. Understanding the underlying formula is key to arriving at the correct answer below:

For complete coupling, the coupling coefficient \(k = 1\). The mutual inductance is given by \(M = k\sqrt{L_1 L_2} = \sqrt{2 \times 8} = 4\text{ mH}\).

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