A conducting square frame of side $\text{a}$ and a long straight wire carrying current $\text{I}$ are located in the same plane as shown in the figure. The frame moves to the right with a constant velocity $\text{V}$. The e.m.f induced in the frame (when the centre of the frame is at a distance $x$ from the wire) will be proportional to :

• A

  $\frac{1}{x^2}$
• B

  $\frac{1}{{\left(2x-a\right)}^2}$
• C

  $\frac{1}{{\left(2x+a\right)}^2}$
• Correct answer
  D

  $\frac{1}{\left(2x-a\right)\left(2x+a\right)}$

Hence, the correct answer is option: 'D'.