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A circular coil ofone turn of radiius 5.0 cm is rotated about a diameter with a constatn angular speed of 80revolutions 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 emfinduced in the coil over a long period and (c )the average of the squares of emf induced over a long period. |
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Answer» Solution :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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