Practice question
Question
A coil of 140 turns and area 0.02 m² is rotated at 25 Hz in a 0.07 T field. What is the maximum emf?
Explanation
**AC generator** principle same as rotating coil, N=200 turns A=0.04 m² B=0.1 T f=50 Hz ω=2π×50=314 rad/s, e₀= N B A ω =200×0.1×0.04×314=251.2 V, emf e= e₀ sin ωt, frequency equals rotation frequency, maximum when plane parallel to field. ω = 2π v = 2π × 25 = 50π rad/s . ε₀ = N B A ω = 140 × 0.07 × 0.02 × 50π = 30.79 V ≈ 30.8 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
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