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Energy Density in Electric Field given Free Space Permittivity Formula

GoEnergy Density in Electric Field 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{ε free \cdot E^{2}}{2}

u - Energy Density?ε_free - Free Permittivity?E - Electric Field?

Energy Density in Electric Field given Free Space Permittivity Example

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Here is how the Energy Density in Electric Field given Free Space Permittivity equation looks like with Values.

Here is how the Energy Density in Electric Field given Free Space Permittivity equation looks like with Units.

Here is how the Energy Density in Electric Field given Free Space Permittivity equation looks like.

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

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

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

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Energy Density in Electric Field given Free Space Permittivity Solution

Follow our step by step solution on how to calculate Energy Density in Electric Field given Free Space Permittivity?

FIRST Step Consider the formula

u = \frac{ε free \cdot E^{2}}{2}

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

u = 1.6002E-06J

LAST Step Rounding Answer

∴

u = 1.6E-6J

Energy Density in Electric Field given Free Space Permittivity Formula Elements

Variables

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

Free Permittivity

Free Permittivity is the measure of the ability of a material to store electric charge in an electrostatic field.

Symbol: ε_free

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Free Permittivity

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

Other Formulas to find Energy Density

Go Energy Density in Electric Field

u = \frac{1}{2} \cdot [Permitivity-vacuum] \cdot E^{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 given Free Space Permittivity?

Energy Density in Electric Field given Free Space Permittivity evaluator uses Energy Density = (Free Permittivity*Electric Field^2)/2 to evaluate the Energy Density, Energy Density in Electric Field given Free Space Permittivity formula is defined as the amount of energy stored per unit volume of space in an electric field, which is a fundamental concept in understanding the behavior of electromagnetic fields and their interactions with matter. Energy Density is denoted by u symbol.

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

FAQs on Energy Density in Electric Field given Free Space Permittivity

What is the formula to find Energy Density in Electric Field given Free Space Permittivity?

The formula of Energy Density in Electric Field given Free Space Permittivity is expressed as Energy Density = (Free Permittivity*Electric Field^2)/2. Here is an example- 1.6002 = (8.89E-12*600^2)/2.

How to calculate Energy Density in Electric Field given Free Space Permittivity?

With Free Permittivity (ε_free) & Electric Field (E) we can find Energy Density in Electric Field given Free Space Permittivity using the formula - Energy Density = (Free Permittivity*Electric Field^2)/2.

What are the other ways to Calculate Energy Density?

Here are the different ways to Calculate Energy Density-

Energy Density=1/2*[Permitivity-vacuum]*Electric Field^2

Can the Energy Density in Electric Field given Free Space Permittivity be negative?

Yes, the Energy Density in Electric Field given Free Space Permittivity, measured in Energy can be negative.

Which unit is used to measure Energy Density in Electric Field given Free Space Permittivity?

Energy Density in Electric Field given Free Space Permittivity 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 given Free Space Permittivity can be measured.

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Energy Density in Electric Field given Free Space Permittivity Formula

​GoEnergy Density in Electric Field Formula

Energy Density in Electric Field given Free Space Permittivity Example

Energy Density in Electric Field given Free Space Permittivity Solution

Energy Density in Electric Field given Free Space Permittivity Formula Elements

Other Formulas to find Energy Density

Other formulas in Electric Potential and Energy Density category

How to Evaluate Energy Density in Electric Field given Free Space Permittivity?

FAQs on Energy Density in Electric Field given Free Space Permittivity

Variable Name

GoEnergy Density in Electric Field Formula