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Question

A circular loop of radius 10 cm is deformed into a straight wire in a 0.1 T field. If the flux change
occurs in 0.2 s, what is the induced emf?

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Explanation

**AC generator** emf e = N B A ω sin ωt, maximum when coil plane parallel to field, zero when perpendicular, time duration of emf when loop moves out of field t = L/v, L side along motion, v speed, e = B l v while cutting. For loop 0.28×0.14 m B=0.3 T v=1.4 m/s along longer side 0.28 m, cutting side 0.14 m, e=0.3×0.14×1.4=0.0588 V, duration t=0.28/1.4=0.2 s, emf exists only during exit. Initial flux: Φ = B A = 0.1 × π × (0.1)² = 0.00314 Wb . Final flux = 0. ε = (Δ Φ/Δ t) = (0.00314/0.2) = 0.0157 V ≈

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