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Energy Density of Magnetic Field Formula

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Energy Density is the amount of energy stored in a given system or region of space per unit volume. Check FAQs

U = \frac{B^{2}}{2 \cdot μ}

U - Energy Density?B - Magnetic Field?μ - Magnetic Permeability of Medium?

Energy Density of Magnetic Field Example

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Here is how the Energy Density of Magnetic Field equation looks like with Values.

Here is how the Energy Density of Magnetic Field equation looks like with Units.

Here is how the Energy Density of Magnetic Field equation looks like.

156.25 = \frac{{2.5}^{2}}{2 \cdot 0.02}

156.25J = \frac{{2.5Wb/m²}^{2}}{2 \cdot 0.02H/m}

156.25 = \frac{{2.5}^{2}}{2 \cdot 0.02}

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Energy Density of Magnetic Field Solution

Follow our step by step solution on how to calculate Energy Density of Magnetic Field?

FIRST Step Consider the formula

U = \frac{B^{2}}{2 \cdot μ}

Next Step Substitute values of Variables

∴

U = \frac{{2.5Wb/m²}^{2}}{2 \cdot 0.02H/m}

Next Step Convert Units

∴

U = \frac{{2.5T}^{2}}{2 \cdot 0.02H/m}

Next Step Prepare to Evaluate

∴

U = \frac{{2.5}^{2}}{2 \cdot 0.02}

LAST Step Evaluate

∴

U = 156.25J

Energy Density of Magnetic Field Formula Elements

Variables

Energy Density

Energy Density is the amount of energy stored in a given system or region of space per unit volume.

Symbol: U

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Energy Density

Magnetic Field

Magnetic fields are produced by electric currents, which can be macroscopic currents in wires, or microscopic currents associated with electrons in atomic orbits.

Symbol: B

Measurement: Magnetic FieldUnit: Wb/m²

Note: Value can be positive or negative.

Formulas to find Magnetic Field

Magnetic Permeability of Medium

Magnetic Permeability of Medium is the measure of magnetization that a material obtains in response to an applied magnetic field.

Symbol: μ

Measurement: Magnetic PermeabilityUnit: H/m

Note: Value should be greater than 0.

Formulas to find Magnetic Permeability of Medium

Other formulas in Energy category

Go Energy of RMS Current

E rms = {i p}^{2} \cdot R \cdot t

Go Energy Stored in Inductor

U inductor = 0.5 \cdot L \cdot {i p}^{2}

How to Evaluate Energy Density of Magnetic Field?

Energy Density of Magnetic Field evaluator uses Energy Density = (Magnetic Field^2)/(2*Magnetic Permeability of Medium) to evaluate the Energy Density, The Energy Density of Magnetic Field formula is defined as the computation of the amount of energy that can be stored in a given mass of a substance or a system. Energy Density is denoted by U symbol.

How to evaluate Energy Density of Magnetic Field using this online evaluator? To use this online evaluator for Energy Density of Magnetic Field, enter Magnetic Field (B) & Magnetic Permeability of Medium (μ) and hit the calculate button.

FAQs on Energy Density of Magnetic Field

What is the formula to find Energy Density of Magnetic Field?

The formula of Energy Density of Magnetic Field is expressed as Energy Density = (Magnetic Field^2)/(2*Magnetic Permeability of Medium). Here is an example- 156.25 = (2.5^2)/(2*0.02).

How to calculate Energy Density of Magnetic Field?

With Magnetic Field (B) & Magnetic Permeability of Medium (μ) we can find Energy Density of Magnetic Field using the formula - Energy Density = (Magnetic Field^2)/(2*Magnetic Permeability of Medium).

Can the Energy Density of Magnetic Field be negative?

Yes, the Energy Density of Magnetic Field, measured in Energy can be negative.

Which unit is used to measure Energy Density of Magnetic Field?

Energy Density of Magnetic Field is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Energy Density of Magnetic Field can be measured.

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