Four different uniform and constant magnetic fields B→$$1=B0k^$$,B→$$2=2B0k^$$,B→$$3=3B0k^$$ and B→$$4=4B0k^$$ 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 v→$$=v0i^$$ 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

Question

Four different uniform and constant magnetic fields B→$$1=B0k^$$,B→$$2=2B0k^$$,B→$$3=3B0k^$$ and B→$$4=4B0k^$$ 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 v→$$=v0i^$$ 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

Infinity Learn · Accepted Answer

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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