JEE Main 2022 · 27 Jul · Shift 2 · Physics Q54

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PhysicsInteger+4 / -1Question 54 of 90

A conducting circular loop is placed in X - Y plane in presence of magnetic field $\vec B=\left(3t^3\hat j+3t^2\hat k\right)$ in SI unit. If the radius of the loop is 1 m, the induced emf in the loop, at time, t = 2 s is $n\pi$ V. The value of n is ______.

Your answer

Answer and worked solution

Official answer: 12

Only $B_z$ threads the loop. $\phi=3\pi t^2$ , so the emf is $6\pi t=12\pi$ V at $t=2$ s.

Answer: 12

Topics:Faraday's and Lenz's laws

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JEE Main 2022 · 27 Jul · Shift 2, Physics question 54