Figure shows two parallel loops of wire having a common axis. The smaller loop (radius r) is above the larger loop (radius R) by a distance x > R. Consequently, the magnetic field due to the counterclockwise current i in the larger loop is nearly uniform throughout the smaller loop. Suppose that x is increasing at the constant rate dx/dt = v.

(a) Find an expression for the magnetic flux through the area of the smaller loop as a function of x. In the smaller loop, find

(b) An expression for the induced emf and

(c) The direction of the induced current.

R