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A 1m long solenoid with diameter 2cm and...

A 1m long solenoid with diameter 2cm and 2000 turns has a secondary coil of 1000 turns closed near its mid-point what will be the mutual inductance between the two coils?

Text Solution

Verified by Experts

Given : `l=1m,r=(2)/(2)1cm=10^(-2)m`
`N_(1)=2000,N_(2)=1000,A=pir^(2)`
`A=pi(10^(-2))m^(2)`
To find :
M = ?
Mutual inductance between the coils is given by
`M=(muN_(1)N_(2)A)/(l)`
`=(4pi10^(-7)xx2000xx1000xxpi10^(-4))/(1)`
`M=78.89xx10^(-5)H.`
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