Practice question
Question
A rod rotates at 25 rad/s in a 0.5 T field. If the length from the axis to the tip is 0.7 m, what is
the emf induced?
Explanation
**Loop sides 35 cm and 15 cm** moving out B=0.8 T v=1.5 m/s perpendicular to shorter side 15 cm, so cutting side =35 cm=0.35 m? Actually motion perpendicular to shorter side means longer side cuts, e= B×(long side)×v =0.8×0.35×1.5=0.42 V, illustrating motional emf e = B L v. ε = (1/2) B ω R² . ε = (1/2) × 0.5 × 25 × (0.7)² = 3.0625 V ≈ 3.06 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 =
Discussion
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