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A wheel with 10 metallic spokes each 0.5...

A wheel with 10 metallic spokes each 0.5m long is rotated with a speed of 120 rev/min in a plane normal to the horizontal component of earth's magnetic field `H_(E)` at a place. If `H_(E)=0.4G` at the place, what is the induced emf between the axle and the rim of the wheel? Note that `1G=10^(-4)T`.

Text Solution

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The emf induced, `epsilon=((1)/(2))omegaBR^(2)=((1)/(2))xx4pixx0.4xx10^(-4)xx(0.5)^(2)=6.28xx10^(-5)V`
[Note that the number of spokes is immaterial because the emfs across the spokes are in parallel.]
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