The inductance of a coil in which a current of 0.2 A is increasing at the rate of 0.5 A/s represents a power flow of 0.5 W is

2 H

5 H

10 H

20 H

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Text Solution

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The correct Answer is:B

Energy stored in inductance
$U = \frac{1}{2} L l^{2}$
Power $P = \frac{d U}{d t} = \frac{d}{d t} (\frac{1}{2} L l^{2}) = L l \frac{d l}{d t}$
$∴ L = \frac{P}{l \frac{d t}{d t}} = \frac{0.5}{0.2 \times 0.5} = 5 H$

Updated on:21/07/2023

Class 12 PHYSICS PRACTICE SET 09

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The inductance of a coil in which a current of 0.2 A is increasing at the rate of 0.5 A/s represents a power flow of 0.5 W is

The correct Answer is:B

Energy stored in inductance
$U = \frac{1}{2} L l^{2}$
Power $P = \frac{d U}{d t} = \frac{d}{d t} (\frac{1}{2} L l^{2}) = L l \frac{d l}{d t}$
$∴ L = \frac{P}{l \frac{d t}{d t}} = \frac{0.5}{0.2 \times 0.5} = 5 H$

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