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Self-Capacitance of a Solid Cylinder

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 solid cylinder is directly proportional to the electric permittivity of the insulator. The self-capacitance increases with the radius of the cylinder to the 0.24 power and the length of the cylinder to the 0.76 power.

Formula

QuantityVariable["C", "ElectricCapacitance"] == (8 + 4.1*(QuantityVariable["l", "Length"]/QuantityVariable["r", "Radius"])^0.76)*QuantityVariable["r", "Radius"]*QuantityVariable["ε", "ElectricPermittivity"]

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

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Self-Capacitance of a Solid Cylinder"], {QuantityVariable[ "\[Epsilon]","ElectricPermittivity"] -> Quantity[277.778`, ("Picofarads")/("Meters")], QuantityVariable["r","Radius"] -> Quantity[5, "Centimeters"]}]
Out[3]=

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