Two point charges of +2.0 μC and -6.0 μC are located on the x-axis at x = -1.0 cm and x = +2.0 cm respectively. Where should a third charge of +3.0-μC be placed on the +x-axis so that the potential at the origin is equal to zero? (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²)

Question

Quizplus · Accepted Answer

The potential at the origin due to the two charges is the sum of their individual potentials. To make the total potential zero, the potential due to the third charge must cancel the sum of the potentials from the first two charges. Calculating the potentials and solving for the position of the third charge gives x = 3.0 cm.

Two Point Charges of +2