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Question

A circular loop of radius 13 cm is deformed into a straight wire in a 0.18 T field in 0.6 s. What is
the induced emf?

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Explanation

**Back emf** in motor opposes applied voltage, e_b = N B A ω sin ωt, reduces net current, at start ω=0 e_b=0 current large, as speed increases e_b increases limiting current, power conversion mechanical, principle of motor and generator reciprocity. Initial flux: Φ = B A = 0.18 × π × (0.13)² = 0.00956 Wb . Final flux = 0. ε = (Δ Φ/Δ t) = (0.00956/0.6) = 0.01593 V ≈ 0.016 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)

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