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A conductor of length 3m moving in a uni...

A conductor of length 3m moving in a uniform magnetic field of strength 100 T. It covers a distance of 70 m in 5 sec. Its plane of motion makes an angle of `30^(@)` with direction of magnetic field. Calculate the emf induced in it.

Text Solution

Verified by Experts

`V= (x)/(t) = (70)/(5) =14ms ^(-1)`
Component of velocity along magnetic field `= V cos theta= V cos (90^(@) -30^(@))= V cos 60^(@)`
`epsi =B l V cos theta `
`epsi =100 xx 3 xx 14 xx cos 60 ^(@)`
`epsi =100 xx 3 xx 14 xx 1/2`
` epsi = 21000 V`
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