JEE Main 2022 · 26 Jul · Shift 2 · Physics Q58

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PhysicsInteger+4 / -1Question 58 of 90

In a coil of resistance 8 Ω, the magnetic flux due to an external magnetic field varies with time as $\phi=\dfrac23\left(9-t^2\right)$ . The value of total heat produced in the coil, till the flux becomes zero, will be ______ J.

Your answer

Answer and worked solution

Official answer: 2

emf $\left|\frac{d\phi}{dt}\right|=\frac43t$ ; the flux is zero at $t=3$ s.

Heat $\int_0^3\frac{16t^2/9}{8}dt=\frac29\times9=2$ J.

Answer: 2

Topics:Faraday's and Lenz's laws Electrical power and heating

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JEE Main 2022 · 26 Jul · Shift 2, Physics question 58