A long solenoid with cross-sectional area 4.00 cm2 and 965 turns per meter is oriented with its axis along the z-axis. The field inside the solenoid points in the z-direction. A wire loop of radius 5.00 cm is around the solenoid, parallel with its coils, centered on the axis of the solenoid, and lying in the xy-plane. Find the rate of change of the current in the solenoid if the electric field in the loop at the poin