Wolfram Computation Meets Knowledge

Energy Density of Magnetic Field

A magnetic field is the magnetic effect of electric currents and magnetic materials. Energy is needed to generate a magnetic field both to work against the electric field that a changing magnetic field creates and change the magnetization of any material within the magnetic field.

The magnetic energy density increases with the square of the magnetic induction.

Formula

QuantityVariable["E", "EnergyDensity"] == Quantity[1/2, "MagneticConstant"^(-1)]*QuantityVariable["B", "MagneticInduction"]^2

symbol description physical quantity
E magnetic energy density "EnergyDensity"
B magnetic induction "MagneticInduction"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Energy Density of Magnetic Field"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Energy Density of Magnetic Field"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[
 ResourceObject[
  "Energy Density of Magnetic Field"], {QuantityVariable[
   "B","MagneticInduction"] -> Quantity[1.4`, "Teslas"]}]
Out[3]=

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