# Magnetic Permeability Calculator

This magnetic permeability calculator (or simply permeability calculator) can **obtain a material's permeability, relative permeability, and susceptibility from the relation between these parameters.**

We paired this calculator with a short text describing:

- Differences between
**diamagnetic**,**paramagnetic**, and**ferromagnetic**materials; - The
**magnetic permeability formula**; - The
**relative permeability formula**; and - How to calculate
**magnetic permeability**.

You can also use this tool as a **magnetic susceptibility calculator**! Keep reading to understand the relationship between the parameters used in this tool.

## What is permeability?

*Permeability*, or *magnetic permeability* (not to be confused with a fluid's permeability), is a material's capacity to be affected by an applied magnetic field.

Its **SI, International System of Units,** unit is the **henry per meter (H/m)**, and we refer to permeability by the letter $\mu$.

According to this value, we can classify materials into three categories in relation to the permeability of free space $\mu_{0}$:

**Paramagnetic**. In the presence of an external magnetic field, these materials are magnetized and are attracted to the external magnetic field. $\mu > \mu_{0}$**Diamagnetic**. Diamagnetic materials, in contrast, produce a magnetic field in opposition to the external magnetic field. Thus, they are repelled. $\mu < \mu_{0}$**Ferromagnetic**. These materials can retain the magnetic field after the external magnetic field is removed and become permanent magnets. $\mu >> \mu_{0}$

🙋 The **Lorentz force** describes the interaction between a particle and the electric and magnetic fields. Read more about this in our Lorentz force and electric field of a point charge calculators!

## How to calculate magnetic permeability ― magnetic permeability formula

Permeability expresses the ratio between the **magnetic flux density** and **magnetic field strength**:

where:

- $B$ is the magnetic flux density; and
- $H$ is the magnetic field stregth.

We can also write permeability in terms of $\mu_{0}$:

where:

- $\mu_{r}$ is called
**relative permeability**; - $\mu_{0}$ is the permeability of free space; and
- $\mu$ is the material's permeability.

You can also input magnetic susceptibility $\chi$ in this magnetic permeability calculator. Both expressions are related by:

✅ **Give it a try!** Experiment with this permeability calculator to ensure you understand the subject.