A conducting square frame of side `'a'` and a long straight wire carrying current `I` are located in the same plane as shown in the figure. The frame moves to the right with a constant velocity `'V'`. The emf induced in the frame will be proportional to

Options

A. `(1)/((2x-a)^(2))`
B. `(1)/((2x+a)^(2))`
C. `(1)/((2x-a)(2x+a))`
D. `1//x^(2)`

Answer

C

Explanation

As the emf induced `=B_(1)vl-B_(2)vl`
`=(mu_(0)l)/(2pi(x-a//2))lv-(mu_(0)I)/(2pi(x+a//2))lv prop(1)/((2x-a)(2x+a))`