Gauss's Law Calculator

If you want to determine the amount of electric flux produced by the electrical field of an electrical charge, then you can use our gauss law calculator.

In physics, Gauss's Law defines the relationship between the charge on an electrical object and the electric field produced by the charge. In mathematical form, Gauss's Law states that the total electric flux produced in any closed surface proportional to the total electric charge in a closed surface. Whereas electric flux is defined as the product of the electric field and the surface area of the projected plane, perpendicular to the field.


Formula of Gauss's Law Calculator

If you want to find the value of electric flux, using gauss's law, you can use the formula listed below:

ϕ = Q/ε₀


ϕ = Electric flux

Q = Net electric charge in a closed surface

ε₀ = electric constant (equal to 8.854×10-12 F/m)


To check Hooke's law, you can use our Hooke's Law Calculator.


To determine how to calculate the electric flux, let us have an example below:

Suppose an electrical charge of −2 μC is located in a closed cubic surface having a 5cm length of sides. Find out the total electric flux of a closed surface.

Given data

Net electric charge= Q = −2 μC = -2×10-6C
Electric constant = 8.854×10-12F/m

To Find

Total electric flux = ?


To find out the total electric flux, we will use the formula listed below;

ϕ = Q/ε₀

Putting values in the formula:

ϕ = -2×10-6C / 8.854×10-12 F/m
ϕ = -226×103 N.m2/C

How to use the Gauss's Law Calculator?

The steps to use Gauss's law calculator are as follows:

Step 1: Enter the value of the net electric charge in the first required input.

Step 2: The calculator will automatically display an answer on the screen.

Calculator use

You can use our gauss's law calculator for various principles, such as solving complex electrostatic calculations, electric field evaluation, etc.