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Electric Field of a Point Charge

A point charge is an idealized model of a particle that has an electric charge. A point charge is an electric charge at a mathematical point with no dimensions.

The electric potential is proportional to the electric charge divided by the distance from the point charge. The electric field strength is proportional to the electric charge divided by the distance from the point charge squared.

Formula

{QuantityVariable["ϕ", "ElectricPotential"] == (Quantity[1/(4*Pi), "ElectricConstant"^(-1)]*QuantityVariable["Q", "ElectricCharge"])/QuantityVariable["r", "Distance"], QuantityVariable["E", "ElectricFieldStrength"] == (Quantity[1/(4*Pi), "ElectricConstant"^(-1)]*QuantityVariable["Q", "ElectricCharge"])/QuantityVariable["r", "Distance"]^2}

symbol description physical quantity
ϕ electric potential "ElectricPotential"
Q electric charge "ElectricCharge"
r distance "Distance"
E electric field strength "ElectricFieldStrength"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Electric Field of a Point Charge"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Electric Field of a Point Charge"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Electric Field of a Point Charge"], {QuantityVariable[ "r","Distance"] -> Quantity[1, "Meters"]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1784

Publisher Information