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A solenoid is of length 50 cm and has a ...

A solenoid is of length 50 cm and has a radius of 2cm. It has 500 turns. Around its central section a coil of 50 turns is wound. Calculate the mutual inductance of the system.

Text Solution

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`N_P = 500, N_S = 50`
` A =pi xx 0.02 xx 0.02 m^2`
`mu_0 4pi xx 10^(-7) Hm^(-1) , I = 50cm = 0.5cm`
Now, `M = (mu_0 N_P N_S A)/(l)`
` = (4pi xx 10^(-7) xx 500 xx 50 xx pi xx (0.02)^2)/(0.5) H`
` = 789.8 xx 10^(-7) H = 78.98 mu H`
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