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Birsa Institute of Technology (BIT), Sindri
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Energy Density when an electric field is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
energy_density = 1/2*Permittivity*(Electric Field)^2
U = 1/2*ε*(E)^2
This formula uses 2 Variables
Variables Used
Permittivity- Permittivity is the ability of a material to store electrical potential energy.
Electric Field - Electric field is defined as the electric force per unit charge. (Measured in Volt per Meter)
STEP 1: Convert Input(s) to Base Unit
Permittivity: 2 --> 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 = 1/2*ε*(E)^2 --> 1/2*2*(600)^2
Evaluating ... ...
U = 360000
STEP 3: Convert Result to Output's Unit
360000 Joule --> No Conversion Required
FINAL ANSWER
360000 Joule <-- Energy Density
(Calculation completed in 00.000 seconds)

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Energy Density when an electric field is given
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Energy Density when an electric field is given Formula

energy_density = 1/2*Permittivity*(Electric Field)^2
U = 1/2*ε*(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. In the case of the electric field or capacitor, the energy density formula is given by U = 1/2 εoE2 E = E is the electric field and ε0 = permittivity of free space

How to Calculate Energy Density when an electric field is given?

Energy Density when an electric field is given calculator uses energy_density = 1/2*Permittivity*(Electric Field)^2 to calculate the Energy Density, Energy Density when an electric field is given is defined as the total energy per unit volume of the capacitor. Energy Density and is denoted by U symbol.

How to calculate Energy Density when an electric field is given using this online calculator? To use this online calculator for Energy Density when an electric field is given, enter Permittivity (ε) and Electric Field (E) and hit the calculate button. Here is how the Energy Density when an electric field is given calculation can be explained with given input values -> 360000 = 1/2*2*(600)^2.

FAQ

What is Energy Density when an electric field is given?
Energy Density when an electric field is given is defined as the total energy per unit volume of the capacitor and is represented as U = 1/2*ε*(E)^2 or energy_density = 1/2*Permittivity*(Electric Field)^2. Permittivity is the ability of a material to store electrical potential energy and Electric field is defined as the electric force per unit charge.
How to calculate Energy Density when an electric field is given?
Energy Density when an electric field is given is defined as the total energy per unit volume of the capacitor is calculated using energy_density = 1/2*Permittivity*(Electric Field)^2. To calculate Energy Density when an electric field is given, you need Permittivity (ε) and Electric Field (E). With our tool, you need to enter the respective value for Permittivity and 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 Permittivity and Electric Field. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • current_density = Electric Field*conductivity
  • current_density = Electric Field/Resistivity
  • current_density = Electric Current/Area of Conductor
  • capacitance = (Capacitance*Capacitance)/(Capacitance+Capacitance)
  • energy_density = 1/2*Permittivity*(Electric Field)^2
  • capacitance = (dielectric constant*length of cylinder)/(2*[Coulomb]*(outer radius-inner radius))
  • capacitance = Capacitance+Capacitance
  • equivalent_resistance = Resistance+Final Resistance
  • force = Charge^2/(2*parallel plate capacitance*radius)
  • electrostatic_potential_energy = 1/2*Capacitance*Voltage^2
Where is the Energy Density when an electric field is given calculator used?
Among many, Energy Density when an electric field is given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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