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Question

A coil of 200 turns is placed in a field that decreases from 0.05 T to 0 in 0.4 s. If the area is 0.02
m², what is the induced emf?

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Explanation

**Field decreasing to zero** induces emf trying to maintain field, current direction such that its field adds to original. For 150 turns area 0.06 m² B 0.14 T to zero in 0.3 s, e=150×0.06×0.14/0.3=4.2 V, as earlier, showing linear dependence on N, A, ΔB/Δt. Δ Φ = B A = 0.05 × 0.02 = 0.001 Wb . ε = N (Δ Φ/Δ t) = 200 × (0.001/0.4) = 0.5 V . Using Φ = B A cosθ, e = -N dΦ/dt = -N A dB/dt = B l v = N B A ω sinωt, L = μ₀ N²A/l, M = e/(dI/dt) and U =

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