Chapter 30, Problem 17P

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, starting at t = 0. What is the magnitude of the magnetic field $\stackrel{\to }{B}$ 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) t = 1.00 s? (d) From t = 0 to t = 1.00 s, is $\stackrel{\to }{B}$ reversed? Because the inner loop is small, assume $\stackrel{\to }{B}$ is uniform over its area. (e) What emf is induced in the small loop at t = 0.500 s?