Electrostatic Potential Energy Calculator

Formula

The formula to calculate the Electrostatic Potential Energy is:

\[ U_e = \frac{k \cdot q_1 \cdot q_2}{r} \]

Where:

\( U_e \) is the Electrostatic Potential Energy (Joules)
\( q_1 \) is the charge of particle one (Coulombs)
\( q_2 \) is the charge of particle two (Coulombs)
\( r \) is the distance between charges (meters)
\( k \) is Coulomb’s constant (\( 8.9875517923 \times 10^9 \, \text{N} \cdot \text{m}^2 \cdot \text{C}^{-2} \))

What is Electrostatic Potential Energy?

Electrostatic Potential Energy is the energy stored in the electric field due to the interaction between two charged particles. It is calculated based on the charges of the particles and the distance between them, along with Coulomb's constant.

Example Calculation

Let's assume the following values:

Charge of Particle One (\( q_1 \)) = 2 C
Charge of Particle Two (\( q_2 \)) = 3 C
Distance Between Charges (\( r \)) = 0.5 m

Using the formula to calculate the Electrostatic Potential Energy:

\[ U_e = \frac{8.9875517923 \times 10^9 \cdot 2 \cdot 3}{0.5} = 107850621910.8 \, \text{Joules} \]

The Electrostatic Potential Energy is approximately 107850621910.8 Joules.