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A closely wound solenoid of 2000 turns a...

A closely wound solenoid of 2000 turns and area of cross section `1.6xx10^-4m^2`, carrying a current of `4amp.` is suspended through its centre allowing it to turn in a horizontal plane:
(a) What is the magnetic moment associated with the solenoid?
(b) What are the force and torque on the solenoid if a uniform horizontal magnetic field of `7*5xx10^-2T` is set up at an angle of `30^@` with the axis of the solenoid?

Text Solution

Verified by Experts

(a) `N=2000`, `A=1.6xx10^-4m^2`, `I=4amp.`, `M=?`, `B=7.5xx10^-2T`.
As, `M=NIA` `:. M=2000xx4xx1.6xx10^-4=1.28JT^-1`
(b) Net force on the solenoid=0
Torque, `tau=MB sin theta=1.28xx7.5xx10^-2sin30^@=1.28xx7.5xx10^-2xx1/2=4.8xx10^-2Nm`.
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