Four point charges of magnitudes 3q q 2q and 4q are arranged in the corners of a square of side length L. The charge q creates a potential of 1 V relative to infinity in the center of the square.

What is the total potential created in the center of a square by all 4 charges?

a. 1V
b. 10V
c. It is impossible to determine without knowing the exact arrangement.
d. 0V
e. 5V

d. 0V

Explanation:

The magnitude of four point charges are +3q, -q, +2q and -4q. I think you forget to mention the signs.

As we know that the potential due to the point charge that has traveled the distance d can be represented mathematically as,

= 1/4λε = 9× Nm²/C²

Now as it is mentioned in the question that all four charges are arranged in the corners of a square so there distance from the center is same. We can rewrite the above potential equation as follows.

       (1)

We can find out d by the pythagoras theorem, as we are dealing with square so d is a semi diagonal.

by putting all values in equation (1)

V =

V = 0V

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they should be similar or the same