Engineering
Physics
Magnetic Flux and Faraday Law and Lenz Law
Faraday
Electromagnetic Waves
Question
Draw a labelled diagram of an alternating current Generator. Determine the induced electromotive force by the rotation of coil in it.
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Solution
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The angle the plane of coil makes with the magnetic field is θ = ωt.

Hence the flux passing through the coil at a given time is given as
ϕ=B.A
= BAcos(ωt)
Hence the emf induced in the coil at an instant of time is given as
EMF=dt
= BAωsin(ωt)