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A wheel having mass m has charges + q an...

A wheel having mass m has charges + q and - q on diametrically opposite points. It remains in equilibrium on a rough inclined plane in the presence of a vertical electric field E. Then value of E is ......

A

`(mg tantheta)/q`

B

`(mg)/q`

C

`(mg)/(2q)`

D

`(mg tantheta)/(2q)`

Text Solution

Verified by Experts

The correct Answer is:
C

For balance of wheel, `vecF_(G) =vecF_(E)`
`vecr xx vecF_(G) =vectau`
`rF_(G)sintheta =pEsintheta`
`rmg sintheta =pEsintheta rArr` where p = 2rq
`therefore E=(mg)/(2q)`
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