Practice question
Question
A square loop of side 20 cm is rotated in a 0.2 T field at 10 rad/s. What is the maximum emf induced?
Explanation
**Rotational emf** when coil area A rotates with angular speed ω in uniform field B, flux Φ = B A cos ωt, emf e = -N dΦ/dt = N B A ω sin ωt, maximum e₀ = N B A ω, frequency = ω/2π. For square side 22 cm area 0.0484 m² N=1 ω=14 rad/s B=0.15 T, e₀=1×0.15×0.0484×14=0.1016 V, sinusoidal. ε₀ = N B A ω , N = 1 , A = (0.2)² = 0.04 m² . ε₀ = 1 × 0.2 × 0.04 × 10 = 0.08 V . Using Φ = B A cosθ, e = -N dΦ/dt = -N A dB/dt
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