Figure 3.188 shows two parallel and coaxial loops. The smaller loop (radius r) is above the larger loop (radius R), by distance `x gtgt R`. The magnetic field due to current `i` in the larger loop is nearly constant throughout the smaller loop. Suppose that `x` is increasing at a constant rate of `dx//dt = v`.

The induced emf in the smaller loop is

Options

A. `(mu_(0)IR^(2)r^(2))/(x^(4))v`
B. `(mu_(0)IR^(2)r^(2))/(2x^(4))v`
C. `3/2(mu_(0)IR^(2)r^(2))/(x^(4))v`
D. `(mu_(0)IR^(2)r^(2))/(3x^(4))v`

Answer

C