Practice question
Question
A wheel with 4 spokes of 0.5 m each rotates at 48 rpm in a 0.8 T field. What is the induced emf?
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. ω = 2π × (48/60) = 1.6π rad/s . ε = (1/2) B ω R² = (1/2) × 0.8 × 1.6π × (0.5)² = 0.5024 V ≈ 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)
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