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Nikita Parmar

Updated on 31st October, 2023 , 4 min read

Value of Mu Not: Definitions, Examples, Formula, Unit, Factors Affecting, Relative Permeability

Value of Mu Naught Overview

The permeability constant is Mu nothing, or 0. It is synonymous with the magnetic constant or free space permeability. As a result, the mu naught value represents the amount of resistance supplied against a magnetic field created in a vacuum.

What is Mu Not?

Magnetic permeability is a material attribute that reflects how effectively a material resists the formation of a magnetic field. It can be defined in the context of magnetization as a relative increase or decrease in the resulting magnetic field (M.F.) inside any material as compared to the magnetizing field in which the material is placed. The magnetic permeability definition may be written as the property of a material that is equal to the magnetic flux density B established within the material by a magnetizing field that has been divided into the magnetizing field intensity H. The link between magnetic induction and magnetic intensity is characterized by magnetic permeability. Magnetic field resistance is a measure of a material's capacity to resist the formation of a magnetic field. In 1885, Oliver Heaviside coined the phrase "Magnetic Permeability" to explain how magnetic fields may travel through materials. Magnetic permeability is a material property that allows magnetic lines of force to travel through it without being obstructed.

Examples of Mu Naught

The Biot-Savart law, for example, is an electromagnetic equation used to calculate the magnitude of a magnetic field created by a constant electric current.

Value of Mu Not

Read more about Faraday's Law of Electromagnetic Induction.

Mu Not Formula

Mu naught is value is μ₀ = 4π × 10⁻⁷ H/m.

Unit of Mu Naught

  1. H/m, or Henry per meter, is the unit of measurement for mu naught.
  2. To express magnetic permeability in a vacuum, we utilized the Greek alphabet, which is mu (μ).
  3. The sign is an acronym for the unit of measurement, microns or micrometers.
  4. Both are referred to as displacement units equal to 0.000001 meters, or 0.001 millimeters.
  5. The dimensional unit of mu not is-


Read more about the Displacement Reaction Definition, the SI Unit of Displacement, and the Difference Between Distance and Displacement.

Value of Mu Not

The permeability of open space is represented by the Mu naught value or μ₀. It has an exact specified value until May 20, 2019; however, the value of mu naught was updated on May 20, 2019. On May 20, 2019, the SI system underwent a modification. It is the value of the measured amount of resistance to the production of a magnetic field.

  1. Mu naught is the vacuum permeability constant in a magnetic field.
  2. Mu naught is a physical constant used frequently in electromagnetism.
  3. In physics, the sign is a Greek letter used to denote μ.
  4. In every medium, Mu zero is also the proportionality constant between free space permeability and magnetic field intensity. According to the new SI, vacuum permeability is no longer a constant. It becomes a value that must be determined empirically.

Formulas Containing Mu Naught

The three most widely used mathematical formulas are as follows-

  • Ampere’s Law
  • Magnetic Inductance
  • Speed of Light in a Vacuum

Mu naught (free-space permeability) = 1.25663706 x 10⁻⁶ H/m

Speed of Light: c = 10 0

Ampere’s Law: B || l = 0I

Magnetic Inductance: L = 0AN2l

Mu naught can also be present in certain other relationships. 

The magnetic field energy density (B) is defined as-

Energy = B220

It is also used to describe magnetic force. The constant describes the strength of the force between two electric currents separated by a certain distance-

F= I1 I22πμ0r

F is the magnetic force in the preceding equation, while I1 and I2 are two currents. r denotes the distance between the current carrying wires. 

Factors Affecting Magnetic Permeability 

The Effects of Different Factors on Magnetic Permeability. The following are the factors that influence magnetic permeability- 

  1. Humidity and the material's properties.
  2. The temperature at a certain point in the material. 
  3. The frequency of application of the applied force on the magnetic field. (Magnetic permeability is typically positive, although it can vary depending on the intensity of the magnetic field. Magnetic reluctivity, as opposed to magnetic permeability, is a property of magnetism.)

Relative Permeability of Mu Not

Relative permeability is the ratio of permeability to free space permeability. It is written as-

μr = μ / μ0


The mu naught value is 4 x 10⁻⁷ H/m. It is also known as free space permeability or the magnetic constant. This physical number is a component of several major physics formulas, including Ampere's law, magnetic inductance, the speed of light in a vacuum, and others. 

Points to Remember

  1. Both of these are referred to as displacement units of 0.000001-meter or 0.001 millimeters.
  2. Mu naught is a physical constant used frequently in electromagnetism. 
  3. Mu naught value is a measurement of the amount of resistance supplied against the development of a magnetic field.
  4. The permeability constant of the vacuum in the magnetic field is the Mu naught value, or 0.
  5. The sign is an acronym for the unit of measurement, microns or micrometers.
  6. The value of Mu naught is computed using Henry per meter.

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Frequently Asked Questions

What is the connection between Mu and Epsilon Naught?

Ans. The permeability of open space is Mu Nothing. It describes the relationship between charges and the magnetic field they generate. Epsilon nothingness, on the other hand, is the permittivity of free space. It displays the relationship between an electric field and static charges.

What exactly is the mu not unit?

Ans. The mu naught unit is the unit of measurement used to represent an entity. In physics, this measurement of the thing is referred to as a unit. There are several scales available for measuring an entity. The unit for representing mu naught value is H/m, which stands for henries per meter.

In a magnetic field, what is mu naught?

Ans. A permeability constant is a synonym for free-space permeability and a magnetic constant in a magnetic field. That number represents the amount of resistance supplied in opposition to developing a magnetic field in free space or a vacuum. In physics, the mu naught value is represented as μ0.

What is the meaning of mu not?

Ans. Mu naught is the permeability constant, or free space permeability. The Mu naught value reflects the number of magnetic field lines that penetrate a material. Mu naught is sometimes misspelled as mu not. It is sometimes referred to as the magnetic constant.

What is the definition of relative magnetic permeability?

Ans. μr represents relative magnetic permeability. It is the magnetic permeability/free space permeability ratio (mu naught).

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