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A solenoidal coil has 50 turns per centi...

A solenoidal coil has 50 turns per centimetre along its length and a cross-sectional area of `4xx10^(-4)m^(2)`. 200 turns of another wire is wound round the first solenoid co-axially. The two coils are electrically insulated from each other. Calculate the mutual inductance between the two coils.

Text Solution

Verified by Experts

` n_1` = 50 turns per cm = 5000 turns per metre
`n_2l = 200, A = 4 xx 10^(-4) m^2`
`M = mu_0 n_1 (n_2l) A`
` = 4pi xx 10^(-7) xx 5000 xx 200 xx 4 xx 10^(-4) H`
` = 5.03 xx 10^(-4) H`
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