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Question

What is the self inductance of a solenoid of length 31.4cm, area of cross-section 103m2 and total number of turns 103?

A
4mH
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B
4H
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C
40H
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D
0.4H
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Solution

The correct option is A 4mH
Given,
Area of cross-section of coil A=103m2
The length of the solenoid l=31.4cm=31.4×102m
and the number of turns in the coil n=103

Magnetic flux linked with the coil
ϕ=Li
BA=Li
μ0niA=Li

L=μ0N/lA

L=4π×107×103×10331.4×102

=4mH

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