Question

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 1

Complete Question

The complete question is shown on the first uploaded image  

Answer:

The electric potential is  $V_P = \frac{4kQ}{a }$

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

       $V = \frac{k Q}{r}$

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

             $r = \frac{2a}{2} = a$

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

         $V_1 = \frac{k Q}{a }$

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

        $V_P = \frac{4kQ}{a }$