Energy Density in Electric Field given Free Space Permittivity Calculator

✖Free Permittivity is the measure of the ability of a material to store electric charge in an electrostatic field.ⓘ Free Permittivity [ε_free]			+10% -10%
✖Electric Field is the force per unit charge at a particular point in space around a distribution of electric charges.ⓘ Electric Field [E]			+10% -10%

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

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Energy Density in Electric Field given Free Space Permittivity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy Density = (Free Permittivity*Electric Field^2)/2
u = (ε_free*E^2)/2
This formula uses 3 Variables

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.
Free Permittivity - Free Permittivity is the measure of the ability of a material to store electric charge 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

Free Permittivity: 8.89E-12 --> No Conversion Required
Electric Field: 600 Volt per Meter --> 600 Volt per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u = (ε_free*E^2)/2 --> (8.89E-12*600^2)/2

Evaluating ... ...

u = 1.6002E-06

STEP 3: Convert Result to Output's Unit

1.6002E-06 Joule --> No Conversion Required

FINAL ANSWER

1.6002E-06 ≈ 1.6E-6 Joule <-- Energy Density

(Calculation completed in 00.009 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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Energy Density in Electric Field

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

Energy Density in Electric Field given Free Space Permittivity Formula

LaTeX Go

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

What is Permittivity?

Permittivity is a measure of how much a material resists the formation of an electric field within it. It defines how easily an electric field can pass through a material and influences the capacitance of capacitors. Permittivity is typically expressed in farads per meter and is a key factor in determining the strength of the electric field in a medium.

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

Energy Density in Electric Field given Free Space Permittivity calculator uses Energy Density = (Free Permittivity*Electric Field^2)/2 to calculate 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 calculate Energy Density in Electric Field given Free Space Permittivity using this online calculator? To use this online calculator for Energy Density in Electric Field given Free Space Permittivity, enter Free Permittivity (ε_free) & Electric Field (E) and hit the calculate button. Here is how the Energy Density in Electric Field given Free Space Permittivity calculation can be explained with given input values -> 1.6002 = (8.89E-12*600^2)/2.

FAQ

What is Energy Density in Electric Field given Free Space Permittivity?

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 and is represented as u = (ε_free*E^2)/2 or Energy Density = (Free Permittivity*Electric Field^2)/2. Free Permittivity is the measure of the ability of a material to store electric charge in an electrostatic field & 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 given Free Space Permittivity?

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 is calculated using Energy Density = (Free Permittivity*Electric Field^2)/2. To calculate Energy Density in Electric Field given Free Space Permittivity, you need Free Permittivity (ε_free) & Electric Field (E). With our tool, you need to enter the respective value for Free Permittivity & 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 Free Permittivity & Electric Field. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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