Practice question
Question
A coil of 220 turns rotates at 70 rad/s in a 0.05 T field. If the area is 0.025 m², what is the maximum
emf?
Explanation
**Induced emf due to B change** e = -N A dB/dt, N turns, A area (m²), dB/dt rate of change of field (T/s). For 110 turns area 0.035 m² B 0.09 T to 0 in 0.5 s, dB/dt=0.18 T/s, e=110×0.035×0.18=0.693 V, direction opposes decrease via Lenz's law. ε₀ = N B A ω = 220 × 0.05 × 0.025 × 70 = 19.25 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 19.25 V
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