A closely wound solenoid of \(2000 \) turns and area of cross-section \(1.6 × 10^{-4}\ m^2\), 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 \(7.5 × 10^{-2}\ T\) is set up at an angle of \(30º\) with the axis of the solenoid?