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  • Draw the labelled diagram of an AC generator. Briefly explain its working and obtain the expression for the emf produced in the coil    

Draw the labelled diagram of an AC generator. Briefly explain its working and obtain the expression for the emf produced in the coil

 

 

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The working principle of the AC generator is electromagnetic induction.
When a coil is rotated in a uniform magnetic field the magnetic flux linked with the coil is changed continuously which induces an emf in the coil. the current produced in the coil is taken at through carbon brushes.
The expression for induced emf
Let.
 N   = number of turns in the coil
A = Area of each face of turns
\vec{B} = magnetic field strength
\theta = Angle between \vec{B}  and \vec{A}
w = Angular speed of coil
Then the magnetic flux linked with the coil at any instant t is
\phi = NBA \cos \theta = NBA \cos wt
According to faraday's law, the induced emf is given by
\varepsilon = \frac{-d\phi }{dt}= \frac{-d}{dl}\left ( NBA \cos wt \right )
\varepsilon= NBA \omega \sin \omega t

\varepsilon=\varepsilon_0sinwt

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