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 Naught?
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.
Read more about Faraday's Law of Electromagnetic Induction.
Mu Naught Formula
Mu naught is value is μ₀ = 4π × 10⁻⁷ H/m.
Unit of Mu Naught
- H/m, or Henry per meter, is the unit of measurement for mu naught.
- To express magnetic permeability in a vacuum, we utilized the Greek alphabet, which is mu (μ).
- The sign is an acronym for the unit of measurement, microns or micrometers.
- Both are referred to as displacement units equal to 0.000001 meters, or 0.001 millimeters.
- The dimensional unit of mu naught is-
M¹L¹T⁻²A⁻²
Value of Mu Naught
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.
- Mu naught is the vacuum permeability constant in a magnetic field.
- Mu naught is a physical constant used frequently in electromagnetism.
- In physics, the sign is a Greek letter used to denote μ.
- 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-
- Humidity and the material's properties.
- The temperature at a certain point in the material.
- 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 Naught
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.
- Both of these are referred to as displacement units of 0.000001-meter or 0.001 millimeters.
- Mu naught is a physical constant used frequently in electromagnetism.
- Mu naught value is a measurement of the amount of resistance supplied against the development of a magnetic field.
- The permeability constant of the vacuum in the magnetic field is the Mu naught value, or 0.
- The sign is an acronym for the unit of measurement, microns or micrometers.
- The value of Mu naught is computed using Henry per meter.