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A circular coil of one turn of radiius ...

A circular coil of one turn of radiius 5.0 cm is rotated about a diameter with a constatn angular speed of 80 revolutions per minute. A uniform magnetic field B =0.010 T exists in a directon perpendicular to the axis of rotation. Find (a) the maximum emf induced, (b) the average emf induced in the coil over a long period and (c ) the average of the squares of emf induced over a long period.

Text Solution

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Since emf=(d phi)/(dt)=(dB.A cos theta)/(dt)`
`=-BA omega. Sin theta`
`(dq//dt= the rate of change its direction every time, So for the average emf=0.`
`=BA omega`
`=0.010xx25xx10^(-4)xx80xx(2 pixxpi)/(6))`
`=0.66xx10^(-3)=6.66xx10^(-4) volt.`
`(b) Since the induced emf changes its direction every time.so for the average emf.=0`.
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