Energy Density in Electric Field Calculator

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

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✖Energy Density is the amount of energy stored per unit volume of space or matter in an electrostatic field.ⓘ Energy Density in Electric Field [u]

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Formula

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Energy Density in Electric Field

Formula

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

Example

1.6E-6 J = \frac{1}{2} \cdot [Permitivity-vacuum] \cdot {600 V/m}^{2}

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Energy Density in Electric Field Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy Density = 1/2*[Permitivity-vacuum]*Electric Field^2
u = 1/2*[Permitivity-vacuum]*E^2
This formula uses 1 Constants, 2 Variables

Constants Used

[Permitivity-vacuum] - Permittivity of vacuum Value Taken As 8.85E-12

Variables Used

Energy Density - (Measured in Joule) - Energy Density is the amount of energy stored per unit volume of space or matter in an electrostatic field.
Electric Field - (Measured in Volt per Meter) - Electric Field is the force per unit charge at a particular point in space around a distribution of electric charges.

STEP 1: Convert Input(s) to Base Unit

Electric Field: 600 Volt per Meter --> 600 Volt per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u = 1/2*[Permitivity-vacuum]*E^2 --> 1/2*[Permitivity-vacuum]*600^2

Evaluating ... ...

u = 1.593E-06

STEP 3: Convert Result to Output's Unit

1.593E-06 Joule --> No Conversion Required

FINAL ANSWER

1.593E-06 ≈ 1.6E-6 Joule <-- Energy Density

(Calculation completed in 00.004 seconds)

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Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

Prahalad Singh has created this Calculator and 100+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< Electric Potential and Energy Density Calculators

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Electrostatic Potential due to Point Charge

Go Electrostatic Potential = ([Coulomb]*Point Charge)/Separation between Charges

Energy Density in Electric Field

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

Energy Density in Electric Field Formula

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

Explain energy density ?

Energy density is the amount of energy stored in a given volume of space. In the context of an electric field, it refers to the energy stored per unit volume in the field. For an electric field, it is proportional to the square of the electric field strength and provides insight into how much energy is contained within a specific region of the field.

How to Calculate Energy Density in Electric Field?

Energy Density in Electric Field calculator uses Energy Density = 1/2*[Permitivity-vacuum]*Electric Field^2 to calculate 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 calculate Energy Density in Electric Field using this online calculator? To use this online calculator for Energy Density in Electric Field, enter Electric Field (E) and hit the calculate button. Here is how the Energy Density in Electric Field calculation can be explained with given input values -> 1.6E-6 = 1/2*[Permitivity-vacuum]*600^2.

FAQ

What is Energy Density in Electric Field?

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 and is represented as u = 1/2*[Permitivity-vacuum]*E^2 or Energy Density = 1/2*[Permitivity-vacuum]*Electric Field^2. Electric Field is the force per unit charge at a particular point in space around a distribution of electric charges.

How to calculate Energy Density in Electric Field?

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 is calculated using Energy Density = 1/2*[Permitivity-vacuum]*Electric Field^2. To calculate Energy Density in Electric Field, you need Electric Field (E). With our tool, you need to enter the respective value for Electric Field and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Energy Density?

In this formula, Energy Density uses Electric Field. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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