Question

write down formula of induced emf in AC generator and discuss how it vary with time?​

Answer 1

Answer:

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Answer 2

Induced emf in AC generator

Explanation:

Induced in a coil, the electromotive force, E emf, is proportional to the number of turns, N, in the coil and the rate of change, dθ / dt, of the number of lines of magnetic flux, moving through the surface (A) surrounded by the coil.

• Formula of induced emf in AC generator

            The induced emf is written out using Faraday's law:

            ϵ = NBAsinθdθdt.

                   A = π$r^{2}$=(3.14)$(0.0500m)^{2}$

                                =7.85×$10^{-3}$$m^{2}$

• Induced emf varies with time

           E=NABωsinθ

           ω=dθ/dt

Now, when the angle is zero degrees between the regular plane and magnetic field, the induced emf is zero , i.e.

           E = NABω sin 0 = 0

The magnetic flux as a function of time is

• Φ(t)=B⋅A(t)=BAcos(ωt)
• Where B is the magnetic field, A(t) is the area vector as a function of time, and  ωt is the angle as a function of time between the field and the area vector. Then, as a function of time , the rate of change of the flux is         Φ′(t)=−BAωsin(ωt)
• Note that if the angle is zero between the vector region and the magnetic field, then the flux is non-zero and equal to AB, its limit, but the flux rate of change disappears because sin(0)=0.