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JEE Main 2026 (23 Jan, Shift 2) · Magnetic Flux & Faraday's Law

Magnetic Flux & Faraday's Law question from JEE Main 2026 (23 Jan, Shift 2)

Q15JEE Main 2026 · 23 JAN · SHIFT 2Medium

Magnetic Flux & Faraday's Law

A circular loop of radius 7 cm is placed in uniform magnetic field of 0.2 T directed perpendicular to plane of loop. The loop is converted into a square loop in 0.5 s. The EMF induced in the loop is ______ mV.

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Answer: (c)

  1. Same wire, so perimeter is constant: 2πr=2×227×7=442\pi r = 2 \times \frac{22}{7} \times 7 = 44 cm, square side =11= 11 cm.
  2. Circle area =227×49=154= \frac{22}{7} \times 49 = 154 cm2^2; square area =121= 121 cm2^2; ΔA=33\Delta A = 33 cm2=33×10−4^2 = 33 \times 10^{-4} m2^2.
  3. e=BΔAΔt=0.2×33×10−40.5=1.32×10−3e = \frac{B\Delta A}{\Delta t} = \frac{0.2 \times 33 \times 10^{-4}}{0.5} = 1.32 \times 10^{-3} V
  4. So the answer is (c) 1.32 mV.
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