91Ó°ÊÓ

The electric field at any point due to a point charge relies on the magnitude of charge and square of the distance from the charge, whereas the electric potential relies on the magnitude of charge and distance from the charge.

The expression for the electric field due to a point charge is,

\(\overrightarrow E = k\frac{q}{{{r^2}}}\hat r\)

Here, k is Coulomb’s constant, q is the charge and r is the distance.

The electric field is a vector quantity. Since both the charges are identical, the magnitude of the electric field at the midpoint of the line joining the charges is the same but opposite. So, they will cancel out each other and the net electric field is zero.

Thus, the electric field is zero at the midpoint of the line joining of two equal positive charges.

The expression for the electric potential due to a point charge is,

\(V = k\frac{q}{r}\)

The electric potential is a scalar quantity. Since both the charges are positive, therefore the electric potential at any point is the sum of the electric potentials of both the charges, which is a positive quantity.

Thus, the electric potential along the line joining of two equal positive charges can not be zero.