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Larmor Power

The Larmor formula is used to calculate the total power radiated by a nonrelativistic point charge as it accelerates or decelerates.

The total radiated power is proportional to the acceleration squared and the electric charge squared.

Formula

QuantityVariable["P", "Power"] == Quantity[1/(6*Pi), 1/("ElectricConstant"*"SpeedOfLight"^3)]*QuantityVariable["a", "Acceleration"]^2*QuantityVariable["Q", "ElectricCharge"]^2

symbol description physical quantity
P total radiated power "Power"
a acceleration "Acceleration"
Q electric charge "ElectricCharge"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Larmor Power"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Larmor Power"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Larmor Power"], {QuantityVariable["Q","ElectricCharge"] -> Quantity[3, "Coulombs"]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1897

Publisher Information