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Question

A square loop of side 22 cm rotates at 14 rad/s in a 0.15 T field. What is the maximum emf induced?

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Explanation

**Maximum emf** e₀ = N B A ω, for 180 turns A=0.02 m² B=0.03 T ω=60 rad/s, e₀=180×0.03×0.02×60=6.48 V, illustrating dependence on N, B, A, ω, used in generator design, increasing N or B or A or ω raises output. A = (0.22)² = 0.0484 m² . ε₀ = N B A ω = 1 × 0.15 × 0.0484 × 14 = 0.10164 V ≈ 0.102 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,

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