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A charge -Q is unformly distributed over...

`A` charge `-Q` is unformly distributed over a non-conducting semi-circular rod of radius `R`. The potential at the center is

A

`0`

B

`(-Q)/(4piepsilon_(0)R)`

C

`(Q)/(4piepsilon_(0)(2R))`

D

`(2Q)/(4piepsilon_(0)R)`

Text Solution

Verified by Experts

Potential at `O` due to elemental charge
`dq=(1)/(4piepsilon_(0))*(dq)/(R )`
`:. ` Total potental at `O=(1)/(4piRepsilon_(0))int_(0)^(-Q)dq=-(1)/(4piepsilon_(0))*(Q)/(R )`
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