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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 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
To learn more about Magnetic flux here
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