The magnetic field in a region is given by $\overrightarrow B = {B_o}\left( {{x \over a}} \right)\widehat k$. A square loop of side d is placed with its edges along the x and y axes. The loop is moved with a constant velocity $\overrightarrow v $ = v0$\widehat i$. The emf induced in the loop is :

Question

The magnetic field in a region is given by $\overrightarrow B = {B_o}\left( {{x \over a}} \right)\widehat k$. A square loop of side d is placed with its edges along the x and y axes. The loop is moved with a constant velocity $\overrightarrow v $ = v₀$\widehat i$. The emf induced in the loop is :

${{{B_o}{v_o}{d^2}} \over {2a}}$

${{{B_o}v_o^2d} \over {2a}}$

${{{B_o}{v_o}d} \over {2a}}$

${{{B_o}{v_o}{d^2}} \over a}$

Solution

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