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Magnetic Potential Formula

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Magnetic potential is defined as the work required to bring a unit pole from infinity to some point in space in the presence of a magnetic field. Check FAQs

ψ = \frac{m}{4 \cdot π \cdot [Permeability-vacuum] \cdot μ r \cdot D poles}

ψ - Magnetic Potential?m - Magnetic Moment?μ_r - Relative Permeability?D_poles - Pole Distance?[Permeability-vacuum] - Permeability of vacuum?π - Archimedes' constant?

Magnetic Potential Example

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Here is how the Magnetic Potential equation looks like with Values.

Here is how the Magnetic Potential equation looks like with Units.

Here is how the Magnetic Potential equation looks like.

62492.5064 = \frac{1.5}{4 \cdot 3.1416 \cdot 1.3E-6 \cdot 1.9 \cdot 800}

62492.5064 = \frac{1.5A*m²}{4 \cdot 3.1416 \cdot 1.3E-6 \cdot 1.9H/m \cdot 800mm}

62492.5064 = \frac{1.5}{4 \cdot 3.1416 \cdot 1.3E-6 \cdot 1.9 \cdot 800}

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Magnetic Potential Solution

Follow our step by step solution on how to calculate Magnetic Potential?

FIRST Step Consider the formula

ψ = \frac{m}{4 \cdot π \cdot [Permeability-vacuum] \cdot μ r \cdot D poles}

Next Step Substitute values of Variables

∴

ψ = \frac{1.5A*m²}{4 \cdot π \cdot [Permeability-vacuum] \cdot 1.9H/m \cdot 800mm}

Next Step Substitute values of Constants

∴

ψ = \frac{1.5A*m²}{4 \cdot 3.1416 \cdot 1.3E-6 \cdot 1.9H/m \cdot 800mm}

Next Step Convert Units

∴

ψ = \frac{1.5A*m²}{4 \cdot 3.1416 \cdot 1.3E-6 \cdot 1.9H/m \cdot 0.8m}

Next Step Prepare to Evaluate

∴

ψ = \frac{1.5}{4 \cdot 3.1416 \cdot 1.3E-6 \cdot 1.9 \cdot 0.8}

Next Step Evaluate

∴

ψ = 62492.5063583498

LAST Step Rounding Answer

∴

ψ = 62492.5064

Magnetic Potential Formula Elements

Variables

Constants

Magnetic Potential

Magnetic potential is defined as the work required to bring a unit pole from infinity to some point in space in the presence of a magnetic field.

Symbol: ψ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Magnetic Potential

Magnetic Moment

Magnetic moment, also known as magnetic dipole moment, is the measure of the object's tendency to align with a magnetic field.

Symbol: m

Measurement: Magnetic MomentUnit: A*m²

Note: Value can be positive or negative.

Formulas to find Magnetic Moment

Relative Permeability

Relative Permeability is the ratio of effective permeability of a particular fluid at a particular saturation to absolute permeability of that fluid at total saturation.

Symbol: μ_r

Measurement: Magnetic PermeabilityUnit: H/m

Note: Value can be positive or negative.

Formulas to find Relative Permeability

Pole Distance

Pole Distance is referred to the distance between the poles of the magnet.

Symbol: D_poles

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pole Distance

Permeability of vacuum

Permeability of vacuum is a fundamental physical constant that relates the magnetic field within a vacuum to the current producing that field.

Symbol: [Permeability-vacuum]

Value: 1.2566E-6

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Magnetic Specifications category

Go Intensity of Magnetization

I mag = \frac{m}{V}

Go Magnetic Flux Density

B = \frac{Φ m}{A}

Go Magnetic Flux Density using Magnetic Field Intensity

B = μ \cdot I

Go Reluctance

S = \frac{L mean}{μ \cdot A}

How to Evaluate Magnetic Potential?

Magnetic Potential evaluator uses Magnetic Potential = (Magnetic Moment)/(4*pi*[Permeability-vacuum]*Relative Permeability*Pole Distance) to evaluate the Magnetic Potential, Magnetic potential is defined as the work required to bring a unit pole from infinity to some point in space in the presence of a magnetic field. Magnetic Potential is denoted by ψ symbol.

How to evaluate Magnetic Potential using this online evaluator? To use this online evaluator for Magnetic Potential, enter Magnetic Moment (m), Relative Permeability (μ_r) & Pole Distance (D_poles) and hit the calculate button.

FAQs on Magnetic Potential

What is the formula to find Magnetic Potential?

The formula of Magnetic Potential is expressed as Magnetic Potential = (Magnetic Moment)/(4*pi*[Permeability-vacuum]*Relative Permeability*Pole Distance). Here is an example- 62492.51 = (1.5)/(4*pi*[Permeability-vacuum]*1.9*0.8).

How to calculate Magnetic Potential?

With Magnetic Moment (m), Relative Permeability (μ_r) & Pole Distance (D_poles) we can find Magnetic Potential using the formula - Magnetic Potential = (Magnetic Moment)/(4*pi*[Permeability-vacuum]*Relative Permeability*Pole Distance). This formula also uses Permeability of vacuum, Archimedes' constant .

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