# An emf of 96.0 mV is induced in the windings of a coil when the current in a nearby coil is increasing

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An emf of 96.0 mV is induced in the windings of a coil when the current in a nearby coil is increasing at the rate of 1.20 A/s. What is the mutual inductance (M) of the two coils?

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Data: |e2| = 9.6 × 10-2 V, dI1/dt = 1.2 A/s
|e2| = M$$\frac{d I_{1}}{d t}$$
Mutual inductance,
M = $$\frac{\left|e_{2}\right|}{d I_{1} / d t}=\frac{9.6 \times 10^{-2}}{1.2}$$
= 8 × 10-2 H
= 80 mH