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A conducting wire of 100 turns is wound ...

A conducting wire of 100 turns is wound over and near the centre of a solenoid of 100 cm length and 2 cm radius having 600 turns. Calculate mutual inductance of two coils.

Text Solution

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Here, `N_(2) = 100, l = 100 cm = 1 m`,
`r = 2 cm = 2 xx 10^(2) m, N_(1) = 600 , M = ?`
`M = (mu_(0) N_(1) N_(2) A)/(l) = (mu_(0) N_(1) N_(2) pi r^(2))/(l)`
`= (4 pi xx 10^(-7) xx 600 xx 100 xx 3.14 (2 xx 10^(2))^(2))/(1)`
`M = 9.47 xx 10^(-5) H`
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