Energy Density in Electric Field Calculator

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Energy Density and Energy Stored

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✖Electric Field is defined as the electric force per unit charge.ⓘ Electric Field [E]

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✖Energy Density is the amount of energy stored in a given system or region of space per unit volume.ⓘ Energy Density in Electric Field [U]

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Formula

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Energy Density in Electric Field

Formula

`"U" = 1/2*"[Permitivity-vacuum]"*"E"^2`

Example

`"1.6E^-6J"=1/2*"[Permitivity-vacuum]"*("600V/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 in a given system or region of space per unit volume.
Electric Field - (Measured in Volt per Meter) - Electric Field is defined as the electric force per unit charge.

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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Home » Physics » Electricity and Magnetism » Capacitor » Energy Density and Energy Stored » Energy Density in Electric Field

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Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

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Birsa Institute of Technology (BIT), Sindri

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< 7 Energy Density and Energy Stored Calculators

Force between Parallel Plate Capacitors

Go Force = (Charge^2)/(2*Parallel Plate Capacitance*Distance between Two Masses)

Energy Density in Electric Field

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

Energy Stored in Capacitor given Charge and Capacitance

Go Electrostatic Potential Energy = (Charge^2)/(2*Capacitance)

Energy Stored in Capacitor given Capacitance and Voltage

Go Electrostatic Potential Energy = 1/2*Capacitance*Voltage^2

Energy Density in Electric Field given Free Space Permittivity

Go Energy Density = 1/(2*Permittivity*Electric Field^2)

Energy Density given Electric Field

Go Energy Density = 1/(2*Permittivity*Electric Field^2)

Energy Stored in Capacitor given Charge and Voltage

Go Electrostatic Potential Energy = 1/2*Charge*Voltage

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 defined as the total amount of energy in a system per unit volume. For example, the number of calories per gram of food. Foodstuffs that have low energy density provide less energy per gram of food which means that you can eat more of them since there are fewer calories.

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 is defined as the total energy per unit volume of the capacitor. It is denoted by U. 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 is defined as the total energy per unit volume of the capacitor. It is denoted by U and is represented as U = 1/2*[Permitivity-vacuum]*E^2 or Energy Density = 1/2*[Permitivity-vacuum]*Electric Field^2. Electric Field is defined as the electric force per unit charge.

How to calculate Energy Density in Electric Field?

Energy Density in electric field is defined as the total energy per unit volume of the capacitor. It is denoted by U 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 2 other way(s) to calculate the same, which is/are as follows -

Energy Density = 1/(2*Permittivity*Electric Field^2)
Energy Density = 1/(2*Permittivity*Electric Field^2)

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