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A wheel with 8 metallic spokes each 50 c...

A wheel with 8 metallic spokes each 50 cm long is rotated with a speed of 120 rev. `"min"^(-1)` in a plane normal to the horizontal component of the Earth's magnetic field. The Earth's magnetic field at the place in 0.4 G and the angle of dip is `60^(@)`. Calculate the emf induced between the axle and the rim of the wheel. How will the value of emf be affected if the number of spokes were increased.

Text Solution

Verified by Experts

Number of strokes = 8
`"Length of stroke" = 50 cm = 50 xx 10^(-2) m = 0.5 m`
f = 120 rpm = 2 rps
`B = 0.4 G = 0.4 xx 10^(-4)` T
emf induced
`epsilon= (1)/(2)Bomegal^(2)` and `omega= 2pif` on substituting we get
`epsilon= 1.25 xx 10^(-4) "volt"`
As spokes are connected in parallel. Therefore, induced emf will not change on increasing number of spokes.
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