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In a region at a distance r from z-axis, magnetic field is present where .B0 is constant and t is time. Then the magnitude of induced electric field at a distance r from z-axis is given by
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Correct option is C
∮E⇀.dl⇀=-dϕdt where ϕ=∫B2πrdr=2π3B0tr3E2πr=-2πB0r33⇒E=-B0r23
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A rod closing the circuit shown in figure moves along a U shaped wire at a constant speed v under the action of the force F. The circuit is in a uniform magnetic field perpendicular to the plane. Calculate F if the rate of heat generation in the circuit is Q.
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