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Find the potential at the centre of a sq...

Find the potential at the centre of a square of side `sqrt(2)m`. Which carries at its four corners charges `q_(1)=3 times 10^(-6)C, q_(2)=-3 times 10^(-6)C, q_(3)=-4 times 10^(-6)C, q_(4)=7 times 10^(-6)C` :

A

`2.7 times 10^(4)V`

B

`1.5 times 10^(3)V`

C

`3 times 10^(2)V`

D

`5 times 10^(3)V`

Text Solution

Verified by Experts

The correct Answer is:
A
The potential
`V=1/(4piepsilon_(0))1/r(q_(1)+q_(2)+q_(3)+q_(4))`
`V=(9 times 10^(9))(1/(1m)){(3-3-4+7) times 10^(-6)C}`
`" "=2.7 times 10^(4)(N-m)/C=2.7 times 10^(4) J/C`
`=2.7 times 10^(4)V`
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