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Question

A rectangular loop of 0.3 m × 0.45 m moves out of a 0.5 T field at 0.9 m/s along its shorter side. What
is the emf?

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Choose one · Correct answer highlighted

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. ε = B l v , l = 0.45 m . ε = 0.5 × 0.45 × 0.9 = 0.2026 V ≈ 0.203 V . Using Φ = B A cosθ,

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