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 thus 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. Estimate the initial flux through the small coil?
Part B. Estimate the average induced emf in the small coil during the 35 ms.
Part C. If you look along the long axis of the solenoid so that the initial 11.0A current is clockwise, compute the direction of the induced current in the small inner coil during the time the current drops to zero.
Part D. During the 35 ms, find the average current in the small coil, assuming it has a resistance of 0.100 ohm?