JEE Main 2016 Physics question

PhysicsElectromagnetic InductionJEE Main 2016

A conducting metal circular-wire-loop of radius is placed perpendicular to a magnetic field which varies with time as , where and are constants at time . If the resistance of the loop is , then the heat generated in the loop after a long time is

Answer: (2)

Solution

The flux through the loop is , so the induced emf is

ε = - = .

The instantaneous power dissipated is , and integrating over all time,

H = ^∞Missing argument for \frac\frac{

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Question ID VK-115602