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Self-Capacitance of a Sphere

Self-capacitance is the amount of electric charge that must be added to an isolated conductor to raise its electric potential by one unit.

The self-capacitance of a sphere is directly proportional to the radius of the sphere and electric permittivity of the insulator.

Formula

QuantityVariable["C", "ElectricCapacitance"] == 4*Pi*QuantityVariable["r", "Radius"]*QuantityVariable["ε", "ElectricPermittivity"]

symbol description physical quantity
C electric capacitance "ElectricCapacitance"
r radius "Radius"
ε permittivity of insulator "ElectricPermittivity"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Self-Capacitance of a Sphere"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Self-Capacitance of a Sphere"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Self-Capacitance of a Sphere"], {QuantityVariable["r","Radius"] -> Quantity[20, "Centimeters"]}]
Out[3]=

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