A small rectangular coil contains 350 turns of wire. The longer sides are 3.5 cm and the shorter sides are 1.4 cm. You can neglect the thickness of the coil. pole -piece of magnet ----__ I \\axis of rotation The coil is held between the poles of a large magnet so that the coil can rotate about an axis through its centre.The magnet produces a uniform magnetic field of ux density 30 mT between its poles. The coil is initially positioned horizontally, parallel to the field's direction. (a) (2) What is the flux through the coil in its initial position? (b) (2) What is the ux through the coil after it is rotated by 90? (c) (3) The coil is rotated from its initial horizontal position to an angle of 45 in a time of 0.18 5. What is the average e.m.f induced in the coil? (Don't forget to account for the windings of the wire) (d) (3) The coil is rotated at a constant angular velocity, with frequency 10Hz. What is the voltage measured across the coil as a function of time? Assume the coil is horizontal at t=0