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Question

A rod rotates at 30 rad/s in a 0.6 T field. If the length from the axis to the tip is 0.8 m, what is
the emf induced?

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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. ε = (1/2) B ω R² . ε = (1/2) × 0.6 × 30 × (0.8)² = 5.76 V . Using Φ = B A cosθ, e = -N dΦ/dt = -N A dB/dt = B l v = N B A ω sinωt, L

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