A small circular loop of area 2.00 cm2 is placed in the plane of, and concentric with, a large circular loop of radius 1.00 m. The current in the large loop is changed at a constant rate from 200 A to -200 A (a change in direction) in a time of 1.00 s, beginning at t = 0. What is the magnitude of the magnetic field B at the center of the small loop due to the current in the large loop at?

(a) t = 0,

(b) t = 0.500 s, and

(c) r = 1.00 s?

(d) From t = 0 to t = 1.00 s, is B reversed? Because the inner loop is small, assume E is uniform over its area.

(e) What emf is induced in the small loop at t = 0.500 s?