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JEE Advanced · Physics · 21. EMI

A circular insulated copper wire loop is twisted to form two loops of area A and 2A as shown in the figure. At the point of crossing the wires remain electrically insulated from each other. The entire loop lies in the plane (of the paper). A uniform magnetic field B points into the plane of the paper. At t = 0 , the loop starts rotating about the common diameter as axis with a constant angular velocity in the magnetic field. Which of the following options is/are correct?

  1. A The net emf induced due to both the loops is proportional to cosωt
  2. B The amplitude of the maximum net emf induced due to both the loops is equal to the amplitude of the maximum emf induced in the smaller loop alone
  3. C The rate of change of flux is maximum when plane of loop is perpendicular to the plane of paper
  4. D The emf induced in the loop is proportional to sum of areas of two loops
Verified Solution

Answer & Solution

Correct Answer

(C) The rate of change of flux is maximum when plane of loop is perpendicular to the plane of paper

Step-by-step Solution

Detailed explanation

When a conducting loop rotating in a magnetic field Bhas an angular velocity ω, the flux through the loop of area A at an angle θ = ωt, ϕ=BAcosθ
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