1. A cylindrical region of space of radius R contains a uniform magnetic field B with direction into the page. If the magnitude B inside the cylinder changes in time and outside the cylinder it is zero, describe the induced electric field (magnitude and direction) for points inside the cylinder (r < R). Find the magnitude and direction of the induced electric field at r = 5.00 cm if the magnetic field changes at a constant rate from 0.500T to zero in 0.100 s. Assume that the cylindrical region has a radius of 10.0 cm.