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A 2 m long solenoid with diameter 4 cm a...

A 2 m long solenoid with diameter 4 cm and 2000 turns has a secondary of 1000 turns wound closely near its mid point. Calculate the mutual inductance between the two coils.

Text Solution

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Here, `l = 2 m, r = (4)/(2) = 2 cm 2 xx 10^(2) m`
`N_(1) = 2000, N_(2) = 1000, M = ?` `A = pi r^(2) = pi (2 xx 10^(-2)) m^(2) = 4 pi xx 10^(-4) m^(2)`
`M = (mu_(0) N_(1) A)/(l) = (4 pi xx 10(-7) xx 2000 xx 1000 xx 4 pi xx 10^(-4))/(2) = 1.5 xx 10^(-3) H`
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