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Energy Density in Electric Field Formula

GoEnergy Density in Electric Field given Free Space Permittivity Formula

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Energy Density is the amount of energy stored per unit volume of space or matter in an electrostatic field. Check FAQs

u = \frac{1}{2} \cdot [Permitivity-vacuum] \cdot E^{2}

u - Energy Density?E - Electric Field?[Permitivity-vacuum] - Permittivity of vacuum?

Energy Density in Electric Field Example

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Here is how the Energy Density in Electric Field equation looks like with Values.

Here is how the Energy Density in Electric Field equation looks like with Units.

Here is how the Energy Density in Electric Field equation looks like.

1.6E-6 = \frac{1}{2} \cdot 8.9E-12 \cdot 600^{2}

1.6E-6J = \frac{1}{2} \cdot 8.9E-12F/m \cdot {600V/m}^{2}

1.6E-6 = \frac{1}{2} \cdot 8.9E-12 \cdot 600^{2}

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Energy Density in Electric Field Solution

Follow our step by step solution on how to calculate Energy Density in Electric Field?

FIRST Step Consider the formula

u = \frac{1}{2} \cdot [Permitivity-vacuum] \cdot E^{2}

Next Step Substitute values of Variables

∴

u = \frac{1}{2} \cdot [Permitivity-vacuum] \cdot {600V/m}^{2}

Next Step Substitute values of Constants

∴

u = \frac{1}{2} \cdot 8.9E-12F/m \cdot {600V/m}^{2}

Next Step Prepare to Evaluate

∴

u = \frac{1}{2} \cdot 8.9E-12 \cdot 600^{2}

Next Step Evaluate

∴

u = 1.593E-06J

LAST Step Rounding Answer

∴

u = 1.6E-6J

Energy Density in Electric Field Formula Elements

Variables

Constants

Energy Density

Energy Density is the amount of energy stored per unit volume of space or matter in an electrostatic field.

Symbol: u

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Energy Density

Electric Field

Electric Field is the force per unit charge at a particular point in space around a distribution of electric charges.

Symbol: E

Measurement: Electric Field StrengthUnit: V/m

Note: Value can be positive or negative.

Formulas to find Electric Field

Permittivity of vacuum

Permittivity of vacuum is a fundamental physical constant that describes the ability of a vacuum to permit the transmission of electric field lines.

Symbol: [Permitivity-vacuum]

Value: 8.85E-12 F/m

Other Formulas to find Energy Density

Go Energy Density in Electric Field given Free Space Permittivity

u = \frac{ε free \cdot E^{2}}{2}

Other formulas in Electric Potential and Energy Density category

Go Electrostatic Potential due to Point Charge

ϕ = \frac{[Coulomb] \cdot Q pt}{r}

Go Electrostatic Potential Energy of Point Charge or System of Charges

U free = \frac{[Coulomb] \cdot q 1 \cdot q 2}{r}

Go Electric Potential of Dipole

ϕ = \frac{[Coulomb] \cdot p \cdot \cos (θ)}{{|r|}^{2}}

How to Evaluate Energy Density in Electric Field?

Energy Density in Electric Field evaluator uses Energy Density = 1/2*[Permitivity-vacuum]*Electric Field^2 to evaluate the Energy Density, Energy Density in Electric Field formula is defined as a measure of the amount of energy stored per unit volume of space in an electric field, which is a fundamental concept in electromagnetism and is used to describe the energy distribution in various electromagnetic systems and devices. Energy Density is denoted by u symbol.

How to evaluate Energy Density in Electric Field using this online evaluator? To use this online evaluator for Energy Density in Electric Field, enter Electric Field (E) and hit the calculate button.

FAQs on Energy Density in Electric Field

What is the formula to find Energy Density in Electric Field?

The formula of Energy Density in Electric Field is expressed as Energy Density = 1/2*[Permitivity-vacuum]*Electric Field^2. Here is an example- 1.6E-6 = 1/2*[Permitivity-vacuum]*600^2.

How to calculate Energy Density in Electric Field?

With Electric Field (E) we can find Energy Density in Electric Field using the formula - Energy Density = 1/2*[Permitivity-vacuum]*Electric Field^2. This formula also uses Permittivity of vacuum constant(s).

What are the other ways to Calculate Energy Density?

Here are the different ways to Calculate Energy Density-

Energy Density=(Free Permittivity*Electric Field^2)/2

Can the Energy Density in Electric Field be negative?

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

Which unit is used to measure Energy Density in Electric Field?

Energy Density in Electric 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 in Electric Field can be measured.

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