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A closely wound solenoid of 2000 turns a...

A closely wound solenoid of 2000 turns and area of cross-section `1.6 xx 10^(-4)m^(2)?` carrying a current of 4.0 A. 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 is the force and torque on the solenoid if a uniform horizontal magnetic field of `7.5 xx 10^(-2)T` is set up at an angle of `30^@` with the axis of the solenoid?

Text Solution

Verified by Experts

Torque = mB sin `theta`
`= 1.28 xx 7.5 xx 10^(-2) xx sin 30 ^(@)`
`= 4.8 xx 10 ^(2) Nm `
in a direction that tends to align the axis of the solenoid along `vecB`. Force is zero in a uniform field.
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