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PHYSICS / ELECTROMAGNETIC ENERGY

Electric Field Energy Density Calculator

Calculate electric-field energy per volume for a linear isotropic material.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

METHOD / WORKED EXAMPLE

Understand Electric Field Energy Density

Calculate electric-field energy per volume for a linear isotropic material. The visible SI inputs keep the selected physical model auditable.

WORKED DEFAULT

Check the calculation with the default inputs

A 1,000 V/m field in vacuum stores about 4.43 x 10^-6 J/m^3 under the ideal field model.

  1. Check measured inputsE, epsilon_r
  2. Apply the stated modelu_E = epsilon_0 epsilon_r E^2/2
  3. Review domain and unitsThe material is linear, isotropic, nondispersive, and represented by a real positive relative permittivity.

READ THE RESULT

Interpret the output in context

The result is local electric energy per unit volume, not total energy without an integrated field volume.

ASSUMPTIONS AND LIMITS

Know where the model stops

  • Field magnitude is the applicable local value.
  • Relative permittivity matches frequency and material conditions.

The material is linear, isotropic, nondispersive, and represented by a real positive relative permittivity.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

COMMON QUESTIONS

Electric Field Energy Density Calculator FAQs

Which model does Electric Field Energy Density Calculator use?

Multiply field magnitude squared by absolute permittivity and one half. It differs from charge-times-voltage energy because no device volume is assumed. It evaluates only the displayed equation and entered SI values; it does not infer material data or experimental conditions. Confirm the convention and inputs against the physical setup before using the result.

How should I interpret this electromagnetic energy result?

The result is local electric energy per unit volume, not total energy without an integrated field volume. Doubling field magnitude quadruples the modeled energy density. Display precision is not measurement accuracy. Check dimensions, scale, limiting cases, and input uncertainty against an independent source before using the value in laboratory, engineering, or safety-sensitive work.

What is outside this calculator's scope?

The material is linear, isotropic, nondispersive, and represented by a real positive relative permittivity. Nonlinear, lossy, dispersive, anisotropic, time-varying, and spatially nonuniform material behavior is excluded. This educational result is not a simulation, calibration, design approval, or safety determination. Real systems may require measured properties, geometry, boundary conditions, uncertainty propagation, and numerical models beyond these inputs.

Use boundary

Calculation path

Multiply field magnitude squared by absolute permittivity and one half. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

u_E = epsilon_0 epsilon_r E^2/2