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Question

A conducting loop is rotated in a non-uniform magnetic field. The induced emf is more complex than in a
uniform field because of what factor?

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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. In a non-uniform field, the magnetic field strength varies across the loop, causing the flux change rate to depend on position, leading to a non-sinusoidal emf. 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

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