Wolfram Computation Meets Knowledge

Wolfram Formula Repository (Under Development)

Cable Capacitance

Cable capacitance refers to the capacitance of a single core cable.

The cable capacitance increases linearly with increasing cable length and the permittivity of the insulator. It also increases as the logarithm of the ratio of the conductor radius to the sheath radius decreases.

Formula

QuantityVariable["C", "ElectricCapacitance"] == (2*Pi*QuantityVariable["L", "Length"]*QuantityVariable["ε", "ElectricPermittivity"])/Log[QuantityVariable[Subscript["R", "1"], "Radius"]/QuantityVariable[Subscript["R", "2"], "Radius"]]

symbol description physical quantity
C cable capacitance "ElectricCapacitance"
R1 sheath radius "Radius"
R2 conductor radius "Radius"
L cable length "Length"
ε permittivity of insulator "ElectricPermittivity"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Cable Capacitance"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Cable Capacitance"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ResourceObject["Cable Capacitance"], {QuantityVariable[ \!\(\*SubscriptBox[\("R"\), \("2"\)]\),"Radius"] -> Quantity[1, "Centimeters"]}]
Out[3]=

Publisher Information