A plane circular coil is rotated about its vertical diameter with a constant angular speed \(\omega\) in a uniform horizontal magnetic field. Initially the plane of the coil is parallel to the magnetic field. Draw the plot showing the variation of magnetic flux \(\phi\) linked with the coil as a function of \(\omega t\), where \(t\) represents the time elapsed.
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If the plane of the coil is initially parallel to the magnetic field, the initial flux is zero. Therefore the flux graph starts from the origin and follows a sine curve:
\[
\phi=\phi_0\sin(\omega t).
\]