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15506823947031525114993.jpgA rectangular coil of single turn, having area A, rotates in a uniform magnetic field B with an angular velocity \omega about an axis perpendicular to the field. If initially the plane of the coil is perpendicular to the field, then the average induced emf when it has rotated through 900 is

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\epsilon =-\frac{d\phi }{dt}=-\frac{d\phi }{t}

 

t=\frac{\Theta _2-\Theta _1}{\omega }=\frac{\frac{\pi }{2}-0}{\omega }= \frac{\pi } {2\omega}

and \epsilon =\frac{0-BA}{t }=\frac{BA*2*\omega}{ \pi }

 

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