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

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Answer:

The electric potential is
`V_P = (4kQ)/(a )`

Step-by-step 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 = (k Q)/(r)`

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

`r = (2a)/(2) = a`

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

`V_1 = (k Q)/(a )`

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

`V_P = (4kQ)/(a )`