what would be the charge on the vertices of a square with given features ;

Question

If the four vertices of the square ABCD are placed with an equal amount of charge, and the

potential of the intersection of the two diagonal lines of the square is 0, there must be four vertices

of the square.

options :

a.The charges of the four vertices are either positive or negative

b. Any two vertices are positively charged and the other two vertices are negatively charged

c.Two vertices on the same side are positively charged and the other two vertices are negatively charged

d. Two vertices on the same diagonal are positively charged and the other two vertices are negatively charged

Answer 1

The correct option is b. Each of the four vertices of the square is at the same distance from the point where the diagonals intersect, therefore it does not matter which of the two charges are positive and which are negative. All is needed is that the sum of the charges is equal to zero, hence there has to be two positive and two negative charges.