Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area `A=10 cm^(2)` and length =20cm. If one of the solenoid has 300 turns and the other 400 turns, their mutual indcutance isA. `4.78 pi xx 10^(-5)H`B. `2.4 pixx 10^(-4) H`C. `2.4 pixx 10^(-5) H`D. `4.8pi xx 10^(-4) H`

Two coaxial solenoids are made by winding thin insulated wire over a p

1.	Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area `A=10 cm^(2)` and length =20cm. If one of the solenoid has 300 turns and the other 400 turns, their mutual indcutance isA. `4.78 pi xx 10^(-5)H`B. `2.4 pixx 10^(-4) H`C. `2.4 pixx 10^(-5) H`D. `4.8pi xx 10^(-4) H`
Answer» Correct Answer - B `M = mu_(0) n_(1) n_(2) pi r_(1)^(2) l` From `phi_(2) = pi_(1)^(2)(mu_(0) n i)n_(21)` `A = pi r_(1)^(2) = 10 cm^(2), l = 20 cm, N_(1) = 300`, `N_(2) = 400` `M = (mu_(0) N_(1)N_(2)A)/(l)` `(4pi xx 10^(-7) xx 300 xx 400 xx 10 xx 10^(-4))/(0.20)` `= 2.4 pi xx 10^(-4) H`

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