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Q.

A solenoid has the length 1m & The cross-section $0.02 m^{2} .$ If number of turns in the solenoid is 5000. Then the self inductance of the solenoid is

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a

$0.2 π$ henry

b

$0.02 π$ henry

c

$0.04 π$ henry

d

$0.4 π$ henry

answer is A.

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Detailed Solution

$L = \frac{μ_{0} N^{2} A}{l}$
$N = 5000, l = 1 m, A = 0.02 m^{2}$
$μ_{0} = \frac{4 π \times 10^{- 7} \times {(5000)}^{2} \times 0.02}{1} = 0.2 π H$

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A solenoid has the length 1m & The cross-section 0.02 m2. If number of turns in the solenoid is 5000. Then the self inductance of the solenoid is