A coil is wrapped with 665 turns of wire on the perimeter of a circular frame (radius = 31 cm). Each turn has the same area, equal to that of the frame. A uniform magnetic field is turned on perpendicular to the plane of the coil. This field changes at a constant rate from 24 to 42 mT in a time of 43 ms. What is the magnitude of the induced 41 mT?