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The self-inductance of the motor of an electric fan is 10 H. To impart maximum power at 50 Hz, it should be connected to a capacitance of:

1. 4 μF
2. 8 μF
3. 1 μF
4. 2 μF

Correct answer: 1 μF

Solution

For maximum power in an AC circuit with inductive behavior, the capacitive reactance should cancel the inductive reactance. Using the resonance condition \(\omega^2LC=1\), the required capacitance comes out to about \(1\,\mu\text{F}\).

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