A very small circular metal ring of radius r = 0.5 cm and resistance x = 5 ohms is at the center of alarge concentric circular metal ring of radius R = 50 cm and resistance X = 500 ohms. The two ringslie in the same plane. At t = 3 seconds, the large ring carries a clockwise current of 3 ampere. At t = 3.2seconds, the large ring carries a counter-clockwise current of 5 ampere. (a) What is the average electric field induced in the small ring during this time? Give both themagnitude and direction of the electric field. Draw a diagram, showing all relevant quantities.(b) What is the magnitude and direction of the average current in the small ring?