Four different uniform and constant magnetic fields ${\vec{B}}_{1} = B_{0} \hat{k}, {\vec{B}}_{2} = 2 B_{0} \hat{k}, {\vec{B}}_{3} = 3 B_{0} \hat{k} and {\vec{B}}_{4} = 4 B_{0} \hat{k}$ exist in first, second, third and fourth quadrant respectively of x-y plane as shown in figure. A square wireframe PQRS of one side I and total resistance R lying in x-y plane is moving with velocity $\vec{v} = v_{0} \hat{i}$ such that its centre lies on x-axis and side PQ is parallel to x-axis. B₀ and v₀ are positive constants. Then the magnitude of current induced in the square loop at the instant its centre lies of origin is

Moderate

Solution

As the loop PQRS moves in positive x-direction, the flux through loop does not change. Hence induced emf and induced current through the loop is zero.

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