Consider an infinite sheet carrying surface current density K = 10 cos(106t) x (A/m). The sheet is parallel to the x-y plane and is placed at z = -5 cm. Find the magnitude and direction at all times of the induced current in a conducting circular ring of radius 5 cm and resistance 10 2. The ring is placed in free space in the x-z plane with center at (0, 0, 10 cm).