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RE-NEET2026Physics-Electromagnetic Induction

RE-NEET 2026 Physics Induced EMF and Current MCQ Question

Type: MCQ-conceptual-Medium-Class 12

A conducting loop of finite resistance lies on the x-y plane. There is a constant magnetic field in the z direction. The area of the loop varies with time t, as A = A₀(1 + sin t) in appropriate units. The figure that correctly indicates the qualitative behaviour of the power P dissipated in the loop as a function of time is:

A
Option A
B
Option B
C
Option C
D
Option D

Correct Answer

Option A

Detailed Explanation

The power PP dissipated in the loop is related to the rate of change of magnetic flux through it, given by Faraday's law of electromagnetic induction. The area AA varies with time as A=A0(1+sin⁡t)A = A_0(1 + \sin t), leading to a time-varying magnetic flux. The induced EMF E\mathcal{E} is proportional to the rate of change of area, thus E∝cos⁡t\mathcal{E} \propto \cos t.

The power dissipated is given by P=E2RP = \frac{\mathcal{E}^2}{R}, where RR is the resistance. Since cos⁡2t\cos^2 t oscillates between 0 and 1, PP will have a minimum at t=π2+nπt = \frac{\pi}{2} + n\pi and maximum at t=nπt = n\pi.

Option A correctly shows this behavior, while the other options fail to represent the oscillatory nature of PP.

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