1.A coil is mechanically rotated with constant angular speed (w) in a uniform magnetic field which is parallel to the axis of rotation of the coil, the plane of the coil initially held perpendicular to the field. Plot a trap showing variation of 1. Magnetic flux 2. The induced emf in the coil as a function of (wt).

$Sinceweknowthat,\phantom{\rule{0ex}{0ex}}Magneticflux\left(\varphi \right):B.dA\phantom{\rule{0ex}{0ex}}\mathrm{initially}\mathrm{held}\mathrm{perpendicula}r\mathrm{to}\mathrm{the}fieldmeansthegraphforfluxstartsfromthepeak\phantom{\rule{0ex}{0ex}}givinga\mathrm{cos}terminflux.asInitiallyangleb/wmagneticfieldandareaiszero.\phantom{\rule{0ex}{0ex}}\varphi =BA\mathrm{cos}\left(\omega t\right)\phantom{\rule{0ex}{0ex}}Emf=-d\varphi /dt=\mathit{B}\mathit{A}\mathit{w}\mathbf{sin}\mathbf{\left(}\mathit{w}\mathit{t}\mathbf{\right)}\mathbf{}$

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