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A closely wound solenoid of 1000 turns a...

A closely wound solenoid of 1000 turns and area of cross-section `2.0xx10^(-4)m^(2)`, carrying a current of 2.0 A. It is placed with its horizontal axis at `30^(@)` with the direction of a uniform horizontal magenitic field of 0.16 T, as shown in Fig. 11.3.

(a) What is the torque experienced by the solenoid due to the field ?
(b) If the solenoid is free to turn about the verticle direction, specify its orientations of stabvle and unstable equilibriums. What is the amount of work needed to displace the solenoid from its stable orientation to its unstable orientations ?

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