First slide

Inductance

Question

The inductance of a coil in which a current of 0.1 A increasing at the rate of 0.5 A/s represents a power flow of 0.5 watt is

Moderate

A

2 H
B

4 H
C

8 H
D

10 H

Solution

energy = $\frac{1}{2} L i^{2}$ power = $\frac{d}{d t} (\frac{1}{2} L i^{2}) = L i \frac{d i}{d t} = 0.5, L = 0.5 \frac{1}{0.5} \frac{1}{0.1} = 10$

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