Electric Field Calculator
The Field That Exists Before Anything Else Is There
An electric field describes the force a charge would experience at a given point in space, whether or not a second charge is actually sitting there to feel it. That's what makes it a field rather than just a force: it's a property of the space around a charge. This calculator computes field strength two ways — from a measured force on a known charge, or directly from a point charge's magnitude and distance using Coulomb's law.
The Formulas
From a point charge: E = k × Q / r²
where E is electric field strength in newtons per coulomb (N/C), F is force in newtons, q and Q are charge in coulombs, r is distance from the charge in meters, and k is Coulomb's constant, 8.99 × 109 N·m²/C².
A Worked Example
| Distance | Field Strength (E = kQ/r²) |
|---|---|
| 0.5 m | 7.19 × 104 N/C |
E = (8.99 × 109 × 2 × 10-6) / 0.5² = 71,920 N/C. Field strength falls off with the square of distance — doubling the distance cuts it to a quarter.
Reference Field Strengths
| Source / Condition | Typical Field Strength |
|---|---|
| Earth's fair-weather field at the surface | ~100 V/m |
| Beneath a thunderstorm | ~10,000–15,000 V/m |
| Dielectric breakdown of dry air | ~3 × 106 V/m |
V/m and N/C are equivalent units for electric field strength.
Where This Calculation Matters
- Electrostatic discharge (ESD) protection — understanding field strengths near charged components helps in designing shielding and grounding.
- Capacitor design — the field between capacitor plates determines the maximum voltage before the dielectric breaks down.
- High-voltage equipment clearances — engineers use field calculations to set safe distances around charged conductors and equipment.
- Physics coursework — verifying textbook and lab problems involving point charges and Coulomb's law.
How to Use This Calculator
- Choose the calculation mode: From Force and Charge, or From Point Charge.
- For Force and Charge, enter the Force in newtons and the Charge in coulombs.
- For Point Charge, enter the Point Charge Q in coulombs and the Distance r in meters.
- Select Calculate to see the resulting field strength.
Related Calculations
Electric and magnetic fields often appear together in electromagnetism problems — see the Magnetic Field Calculator for the current-generated counterpart.