The magnetic flux through a certain coil is given by phim = (1/50pi) cos( 100pi t) where the units are si. the coil has 100 turns. The magnitude of the induced emf (in volts) when t = 1/200 s is?

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04-08-2022
Physics

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The magnetic flux through a certain coil is given by phim = (1/50pi) cos( 100pi t) where the units are si. the coil has 100 turns. The magnitude of the induced emf (in volts) when t = 1/200 s is?

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smecloudbird18 smecloudbird18 · Answer 1 · 2022-08-17T23:09:01+02:00

The magnetic flux through a certain coil is given by phim = (1/50pi) cos( 100pi t) where the units are si. the coil has 100 turns. The magnitude of the induced EMF (in volts) when t = 1/200 s is 1 / 50 π

Magnetic flux is defined as the number of magnetic field lines passing through a given closed surface. It provides the measurement of the total magnetic field that passes through a given surface area.

An EMF is induced in the coil when a bar magnet is pushed in and out of it. EMF of opposite signs are produced by motion in opposite directions, and the EMF are also reversed by reversing poles.

EMF = d Ф / d t

Given phi = Ф = (1/50pi) cos100pi t

hence ,

EMF = d ((1/50pi) cos 100pi t ) / d t

= 1/50π * cos 100 pi

substituting value of pi

= 1 / 50 π * cos (100 * 180)

= 1/ 50 π * cos ( 1800 )

EMF = 1 / 50 π

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