Two charges, one of which is Q1 = 3 μC and second one Q2 = -1 μC are separated by 100cm. The electric potential is zero at a point:

Explanation

The electric potential is defined as the amount of work energy needed to move a unit of electric charge from a reference point to a specific point in an electric field. For two opposite charges of unequal magnitudes, the electric potential is zero at a point where the charges have canceled each other out. The mathematical formula for electric potential is V = kQ/r. The electric potential for two-point charges is V = V1 + V2.Let potential is zero at a distance x from 3μC⇒ k(3) / x + k(-1) / (100-x) = 0⇒ 3 / x = 1 / (100-x)⇒ 3(100-x) = 1(x)⇒ 300-3x = x⇒ 300 = x + 3x⇒ 300 = 4x⇒ x = 300/4⇒ x = 75Therefore, from a distance of 100-75 = 25 cm from Q2, the electric potential is zero.Diagram: