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A solenoid of length 50cm with 20 turns ...

A solenoid of length 50cm with 20 turns per centimetre and area of cross-section 40cm? completely surrounds another coaxial solenoid of the same length, area of cross-section `25cm^(2)` with 25 turns per centimetre. Calculate the mutual inductance of the system.

Text Solution

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`l = 50 cm = 1/2 m`
`N_1 = 20 xx 50 = 1000, A_1 = 40 xx 10^(-4) m^2`
`N_2 = 25 xx 50 = 1250 , A_2 = 25 xx 10^(-4) m^2`
`M = (mu_0 N_1N_2A_2)/(l)`
` = (4pi xx 10^(-7) xx 1000 xx 1250 xx 25 xx 10^(-4) )/(1//2) H`
` = 7.9 xx 10^(-3) H = 7.9 mH`
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