The formula of magnetic flux is φ = bs when the plane of the coil is perpendicular to the magnetic field, and φ = bs cos θ = bs cos ω t when rotating in the magnetic field, no matter how the axes are arranged.
Faraday electromagnetic induction formula: e = n △φ/△ t = nbscoω t/t =-nbsinω t/t =-bssin (ω t) ω.
Where ω=2πf=2π/T
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