Wolfram Computation Meets Knowledge

Wolfram Formula Repository (Under Development)

Self-Capacitance of Two Identical Spheres in Contact

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 two identical spheres in contact is directly proportional to the radii of the spheres and electric permittivity of the insulator.

Formula

QuantityVariable["C", "ElectricCapacitance"] == 8*Pi*Log[2]*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 Two Identical Spheres in Contact"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject[ "Self-Capacitance of Two Identical Spheres in Contact"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Self-Capacitance of Two Identical Spheres in Contact"], \ {QuantityVariable["C","ElectricCapacitance"] -> Quantity[20, "Picofarads"]}]
Out[3]=

Publisher Information