A solenoid of length 50 centimeter is made of 11000 circular coils. It carries a steady current of 11 Amp. Near its center is located a small, flat, circular metallic coil of 250 circular loops, each with a radius of 3 millimeter. This small coil is oriented so that it receives half of the maximum magnetic flux. A switch is opened in the solenoid circuit and its current drops to zero in 35 milliseconds.
Part A. Find what was the initial flux through small coil?
Part B. Obtain the average induced emf in the small coil during the 35 ms.
Part C. If you look along the long axis of the solenoid thus that the initial 11 Amp current is clockwise, find the direction of the induced current in the small inner coil during the time the current drops to zero.
Part D. During the 35 milliseconds, determine the average current in the small coil?