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An e.m.f. of 16 volts is induced in a coil of inductance 4H. The rate of change of current must be:a.32 A/sb.16 A/sc.64 A/sd.4 A/s

Question

An e.m.f. of 16 volts is induced in a coil of inductance 4H. The rate of change of current must be:a.32 A/sb.16 A/sc.64 A/sd.4 A/s

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Solution

The electromotive force (emf) induced in a coil is given by the formula:

emf = L * (dI/dt)

where: L is the inductance of the coil, dI/dt is the rate of change of current.

Rearranging for dI/dt gives:

dI/dt = emf / L

Given: emf = 16 V, L = 4 H.

Substituting these values into the formula, we get:

dI/dt = 16 V / 4 H dI/dt = 4 A/s

So, the rate of change of current must be 4 A/s. Therefore, the correct answer is d. 4 A/s.

This problem has been solved

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