Four point charges are individually brought from infinity and placed at the corners of a square. Each charge has the identical value Q. The length of the diagonal of the square is 2a. What is the electric potential at the center of the square

Answer :

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Answer:

The electric potential is  [tex]V_P = \frac{4kQ}{a }[/tex]

Explanation:

From the question we are told that

     The charge on each point  is  +Q

      The length of the diagonal is  2a

   

Generally the electric potential is mathematically represented as

       [tex]V = \frac{k Q}{r}[/tex]

Here r is the distance from each vertices of the square to the center P which is evaluated as

             [tex]r = \frac{2a}{2} = a[/tex]

  So the potential at the center due to one charge is evaluated as

         [tex]V_1 = \frac{k Q}{a }[/tex]

Given that there are four charge the net electric potential at the center P will be

        [tex]V_P = \frac{4kQ}{a }[/tex]

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