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Show Diagrammatically How an Alternating Emf is Generated by a Loop of Wire Rotating in a Magnetic Field. Write the Expression for the Instantaneous Value of the Emf Induced in the Rotating Loop.

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Question

Show diagrammatically how an alternating emf is generated by a loop of wire rotating in a magnetic field. Write the expression for the instantaneous value of the emf induced in the rotating loop.

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Solution

Generation of an alternating e.m.f. by a loop of wire rotating in a magnetic field

Expression of the instantaneous value of the induced e.m.f. in a rotating loop

ε = NBAω sinωt

Where N = number of turns in armature coil

= Magnetic field vector

=Area vector of the coil

ω Angular speed

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2009-2010 (March) Delhi set 3

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