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Question

A coil of 80 turns is placed in a magnetic field that increases from 0 to 0.03 Wb/m² in 0.2 s. If the
coil area is 0.05 m², what is the induced emf?

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Explanation

**Energy in inductor** cannot change instantaneously because that would require infinite power, current through inductor continuous, voltage may jump, principle used in chokes, inductive kick, back emf, explaining why inductor opposes change in current. Flux change: Δ Φ = B A = 0.03 × 0.05 = 0.0015 Wb . ε = N (Δ Φ/Δ t) = 80 × (0.0015/0.2) = 80 × 0.0075 = 0.6 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 = ½ L I², result

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