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Exercise:
Using Faraday's law derive the expression for the voltage induced in a generator coil.

Solution:
The flux through a coil with area A and N turns placed in a uniform magnetic field B is given by sscPhim N B A costheta where theta is the angle between the magnetic field lines and the normal to the area defined by the coil. vspacemm For a coil rotating with an angular frequency omega the flux is therefore sscPhim & N B A cosomega t Using Faraday's law we find calEt -fractextdsscPhimtextdt -fractextdtextdtleft N B A cosomega t right -N B A left -sinomega t omega right N B A omega sinomega t This corresponds to the expression derived using the motional emf.
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Exercise:
Using Faraday's law derive the expression for the voltage induced in a generator coil.

Solution:
The flux through a coil with area A and N turns placed in a uniform magnetic field B is given by sscPhim N B A costheta where theta is the angle between the magnetic field lines and the normal to the area defined by the coil. vspacemm For a coil rotating with an angular frequency omega the flux is therefore sscPhim & N B A cosomega t Using Faraday's law we find calEt -fractextdsscPhimtextdt -fractextdtextdtleft N B A cosomega t right -N B A left -sinomega t omega right N B A omega sinomega t This corresponds to the expression derived using the motional emf.
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Attributes & Decorations
Branches
Magnetism
Tags
faraday, flux, generator, induction
Content image
Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Algebraic
Decoration