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Question

A coil of 280 turns rotates at 80 rad/s in a 0.06 T field. If the area is 0.01 m², what is the maximum
emf?

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Explanation

**Uniform field change** in coil produces emf proportional to area and turns, for circular coil radius 0.16 m area πr²=0.0804 m², B 0.12 T deformed to wire in 0.6 s, ΔΦ=0.12×0.0804=0.00965 Wb, e=0.00965/0.6=0.0161 V, illustrating area change also induces emf. ε₀ = N B A ω = 280 × 0.06 × 0.01 × 80 = 13.44 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 13.44 V follows, reflecting Faraday's law and Lenz's opposition.

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