(5%) Problem 3: Joe has rolled a long electrical extension cord into a coil of radius rC = 11 cm with NC = 16 loops. The coil of extension cord is initially lying horizontally (at) on the oor of Joe's garage. Joe picks up the coil and rotates it 90 counterclockwise in tI = 0.65 seconds so that the coil is now vertically oriented (see the gure). Q 33% Part (a) If the Earth's magnetic eld has strength 0.50 gauss and makes an angle of 20.0 degrees with the garage oor, calculate the change in the magnetic ux AB , in webers, through one of the loops of the coil during the rotation. Treat the initial ux as having a positive sign. Q 33% Part (b) Calculate the average induced emf 8c , in volts, in the coil during the rotation. Q 33% Part (c) If the extension cord had a resistance of 3.0 ohms and formed a closed circuit without any other components, calculate the induced current I c , in amps, in the extension cord. (5%) Problem 16: A square wire loop is in a time-varying magnetic field with magnitude B(t) = At, where A > 0. The plane in which the square is located has an angle 0