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EMI: Induced Current

Q-Two parallel circular loops of wire having the same common axis.  The smaller loop of radius r, and is above the larger loop (radius R) by a distance X>>R.  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 a constant rate dx/dt = v.  

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

(b) In the smaller loop, find the expression for the induced emf and the direction of the induced current.


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