Quadratic Equation Solver (ax² + bx + c = 0)
About Electric Potential Calculator
The Electric Potential ($V = k_e \frac{Q}{r}$) & Voltage Work Calculator computes electrostatic scalar potential around point charges, Electric Potential Energy ($U = qV = k_e \frac{q Q}{r}$), work required to assemble charge configurations ($W = -q\Delta V$), and equipotential line spacing.
How to Use Electric Potential Calculator
Step 1
Enter Source Charge ($Q$) in Coulombs or Microcoulombs.
Step 2
Enter radial distance $r$ from the charge.
Step 3
Optionally enter test charge $q$ to calculate electrostatic potential energy.
Step 4
Click "Copy Potential Value".
Practical Use Cases for Electric Potential Calculator
Particle Accelerator Electron-Volt (eV) Beam Energy Sizing
Calculate kinetic energy gained by ions and electrons accelerated across high-voltage electrostatic potential drops ($E_k = q \Delta V$).
Electrostatic Assembly Energy & Crystal Lattice Madelung Constants
Compute net scalar electric potential and total potential energy required to assemble clusters of charges in space.
Input & Output Examples
Calculating Potential 0.1m Away from +5µC Point Charge
Source Charge ($Q$): `+5.0 µC`, Distance ($r$): `0.10 m (10 cm)`
Electric Potential ($V$): `449,377.5 Volts (449.38 kV)` | Energy on 1µC Test Charge: `0.449 Joules` | Electron-Volts: `2.81 × 10¹⁸ eV`
Key Features & Performance
- ✓Point Charge Potential: scalar summation ($V_{net} = \sum k_e Q_i / r_i$) for multiple source charges in Cartesian space.
- ✓Work & Energy Converter: converts between Joules (J), Kilojoules, and Electron-Volts (eV, keV, MeV, GeV).
- ✓Uniform Field Potential Gradient ($V = -E \cdot d$).
- ✓100% Client-Side physics engine.
- ✓1-Click Copy electric potential specs.
Key Terminology & Definitions
Electric Potential ($V$)
The amount of work needed to move a unit positive charge from reference infinity to a specific point in an electric field without acceleration ($1\text{ Volt} = 1\text{ Joule/Coulomb}$).
Electron-Volt (eV)
A unit of energy equal to the kinetic energy gained by an electron accelerating through an electric potential difference of one Volt ($1\text{ eV} \approx 1.602176634 \times 10^{-19}\text{ Joules}$).