1.

A closely wound solenoid of 1000 tuins and area of Cross-section 2.0 xx 10^(-4) in- carries a current of 2.0 A. It is placed with its horizontal axis al 30^(@) with the direction of a uniform horizontal magnetie field of 0.16 T as shown in the figure. What is the magnitude of the restoring torque produced by the lield on the solenoid!

Answer»

0.016 Nm
0.024 Nm
0.032 Nm
0.05 Nm

Solution :The magnitude of the magnetic moment of the SOLENOID is
`M = nIA = 1000xx2xx2xx10^(-4)`
`therefore M= 0.4 m^(2)`
The direction of M is along the axis of the solenoid i.e., in the direction PQ. It makes an angle of `30^(@)` with the direction of the field. A restorings torqua `TAU` act on the solenoid, to bring the axis of the solenoid N-S direction.
The magnitude of torqua, `tau = MB sintheta`
`= 0.4 xx0.16 XX sin30^(@) =0.064 xx 1//2 =0.032 Nm`


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