Answer to Question #94400 in Electricity and Magnetism for Icetech Blazer

Question

A particle carrying +2.35 \({\rm \; nC}\) of positive charge is at the origin of an xy coordinate system. Take \(V(\infty )\) to be zero for these calculations.
Calculate the potential \(V\) on the \(x\) axis at \(x\) = 3.0000 \(\rm m\).

Answer 1

Potential, created by a point charge $q$ at a distance $r$ from the charge is $V_E = \frac{1}{4 \pi \varepsilon_0} \frac{q}{r}$ , where $\varepsilon_0 = 8.85 \times 10^{-12} F \cdot m^{-1}$ is the vacuum permittivity.

Hence, $V_E= 9 \cdot 10^9 N \cdot m^2 \cdot C^{-2} \times \frac{2.35 \cdot 10^{-9} C}{3 m} = 7.05 V$.