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A charge -Q is uniformly distributed ove...

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

A

zero

B

`(1)/(4piepsilon_(0))((-Q))/(R)`

C

`(1)/(4piepsilon_(0))(Q)/(2R)`

D

`(1)/(4piepsilon_(0))(2Q)/(R)`

Text Solution

Verified by Experts

Potential at O due to elemental charge
`dq=(1)/(4piepsilon_(0))(dq)/(R)`
`therefore` Total potential at `O=(1)/(4piRepsilon_(0))int_(0)^(-Q)dq=-(1)/(4piepsilon_(0)).(Q)/(R)`
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Knowledge Check

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