The Electric Potential Energy Calculator is a tool designed to compute the electric potential energy between two charged particles. It facilitates the calculation by employing Coulomb’s law, allowing users to determine the electric potential energy based on the magnitudes of the charges and the distance between them.
Formula of Electric Potential Energy Calculator
The formula for electric potential energy (U) is:
U = k * (|q1 * q2|) / r
Where:
- U is the electric potential energy in joules (J).
- k is Coulomb’s constant, approximately equal to 8.99 x 10^9 N·m²/C².
- q1 and q2 are the magnitudes of the two point charges in coulombs (C).
- r is the distance between the two point charges in meters (m).
General Terms and Conversions
For quick reference, here’s a table of commonly searched terms related to electric potential energy and conversions that might assist users:
| Term | Description |
|---|---|
| Coulomb’s Law | Fundamental law describing the force between charges |
| Electric Field | Region around a charged object where it exerts force |
| Voltage | Electrical potential difference between two points |
| Joule (J) | Unit of energy |
| Meter (m) | Unit of distance |
| Coulomb (C) | Unit of electric charge |
Example of Electric Potential Energy Calculator
Imagine two point charges, one with a magnitude of +3 C and the other with a magnitude of -5 C, separated by a distance of 2 meters. Plugging these values into the formula:
U = (8.99 x 10^9) * (|3 * -5|) / 2
This calculation yields the electric potential energy between these charges.
Most Common FAQs
Electric potential energy is the energy associated with the arrangement of charges in an electric field. It represents the work done to bring charges from infinity to their current positions.
As the distance between charges increases, the electric potential energy decreases. The relationship is inversely proportional according to Coulomb’s law.
To utilize the calculator:
Input the magnitudes of the charges (q1 and q2) in coulombs.
Enter the distance (r) between the charges in meters.
Click ‘Calculate’ to obtain the electric potential energy in joules.