Electric Field of a Point Charge

Electric Field of a Point Charge | Online Free Tool | Elysia Tools

Tool usage guide

Learn when to use this tool, what it supports, and how real users apply it.

Key facts

Category: Science & Education
Input types: number, select
Output type: text
Sample coverage: 4
API ready: Yes

Overview

The Electric Field of a Point Charge calculator computes electric field magnitude and radial direction using Coulomb's constant via E = k·|Q|/r². It supports multiple charge and distance units while calculating the electrostatic force experienced by a test electron at that position.

When to use

When solving introductory electromagnetism and physics problem sets involving point source charges.
When determining the radial field strength and direction produced by static charges across various metric distance scales.
When calculating the exact electrostatic force exerted on an electron placed at a specified radius from a source charge.

How it works

1Enter the source charge value Q and select the appropriate metric charge unit from Coulombs down to picocoulombs.
2Input the radial distance r and choose the distance unit ranging from meters to nanometers.
3The tool applies Coulomb's constant to evaluate E = k·|Q|/r², determines field vector orientation based on the charge sign, and computes the test electron force F = e·E.

Use cases

Physics education: Calculating electric field vectors and electrostatic attraction or repulsion forces for homework problems.
Atomic physics demonstrations: Evaluating microscopic electric fields near fundamental charges at sub-nanometer distances.
Electrostatic lab modeling: Estimating static charge field gradients and sensor response thresholds during laboratory setups.

Examples

1. Standard Laboratory Electrostatic Charge

Physics Student

Background

A student is analyzing a static electricity classroom demo involving an isolated 1 nC charge on a test sphere.

Problem

Calculate the electric field intensity and test electron force at a 1-meter radius.

How to use

Set Charge Q to 1, Charge unit to nC, Distance r to 1, and Distance unit to m.

Outcome

Returns an electric field strength of 8.98755 N/C directed away from the charge, with an electron experiencing a 1.44×10⁻¹⁸ N attractive force.

2. Atomic Field at the Bohr Radius

Atomic Physics Instructor

Background

An instructor needs to demonstrate the scale of the atomic unit of electric field around a single electron.

Problem

Determine the field magnitude and direction at a distance of 5.29177×10⁻¹¹ m from an electron.

How to use

Enter -1.602176634e-19 in Charge Q with unit C, and set Distance r to 5.29177210903e-11 with unit m.

Outcome

Outputs a field magnitude of 5.14221×10¹¹ N/C directed inward toward the negative charge, with a repulsive force on an electron of 8.23872×10⁻⁸ N.

FAQ

What equation is used to calculate the electric field?

It uses Coulomb's law for electric fields, E = k·|Q|/r², where k is Coulomb's constant (approximately 8.98755×10⁹ N·m²/C²).

How does the sign of the charge affect the result?

The sign of Q determines the field direction: positive charges produce fields pointing radially outward, while negative charges point radially inward.

Are the units N/C and V/m equivalent?

Yes, Newtons per Coulomb (N/C) and Volts per meter (V/m) are dimensionally identical measures of electric field strength.

How is the force on an electron calculated?

The force is determined by multiplying the elementary charge e (1.602176634×10⁻¹⁹ C) by the field magnitude E (F = e·E).

Which units of distance and charge are supported?

Charge supports C, mC, µC, nC, and pC. Distance supports m, cm, mm, µm, and nm.

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Learn when to use this tool, what it supports, and how real users apply it.

Key facts

Overview

When to use

How it works

Use cases

Examples

1. Standard Laboratory Electrostatic Charge

2. Atomic Field at the Bohr Radius

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