The magnetic field in a region is given by $\vec{B} = B_{0} (\frac{x}{a}) \hat{k}$ . 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 $\vec{v} = v_{0} \hat{i}$ . The emf induced in the loop is :

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E 1 = B 0 x + d a v 0 d E 2 = B 0 x a v 0 d E net = E 1 - E 2 E net = B 0 v 0 d 2 a

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