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

Asked in JEE Main 23rd Jan 2nd Shift 2026 · Flux change and induced EMF

Answer: (4) 1.32

Step-by-step solution

The wire length is fixed: 2π r=2π(0.07)=0.44 m, so the square has side 0.11 m.

Circle: A₁=π(0.07)²=0.0154 m². Square: A₂=(0.11)²=0.0121 m².

ε=(B |Δ A|)/(Δ t)=(0.2×0.0033)/(0.5)=1.32 mV.

Why the other options are wrong

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