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 force and charge: E = F / q
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

Field strength from a 2 µC point charge at increasing distance
DistanceField Strength (E = kQ/r²)
0.5 m7.19 × 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

Approximate electric field strengths in nature and engineering
Source / ConditionTypical 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

  1. Choose the calculation mode: From Force and Charge, or From Point Charge.
  2. For Force and Charge, enter the Force in newtons and the Charge in coulombs.
  3. For Point Charge, enter the Point Charge Q in coulombs and the Distance r in meters.
  4. 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.