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A long solenoid of length 50 cm and cros...

A long solenoid of length 50 cm and cross sectional area `10cm^2` is closely wound with 1000 turns of wire. A small coil of 10 turns surrounds it at its centre. Calculate the mutual inductance of the two coils.

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L =50cm=0.50m.`A=10xx10^(-4)m^2`, `N_2=10` turns, `N_1= 1000 turns`.
`M=(mu_0N_1N_2A)/l=(4pixx10^(-7)xx10xx1000xx10xx10^(-4))/0.50=0.025mH`
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