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Capacitance of Parallel Plates

A capacitor is a passive, two-terminal electrical component that stores electrical energy in an electric field. In a parallel plate capacitor, the capacitance builds up between two closely spaced parallel plates.

The capacitance equals the area of each plate times the permittivity of the insulator between them divided by the distance between the plates.

Formula

QuantityVariable["C", "ElectricCapacitance"] == (QuantityVariable["A", "Area"]*QuantityVariable["ε", "ElectricPermittivity"])/QuantityVariable["d", "Length"]

symbol description physical quantity
C electric capacitance "ElectricCapacitance"
A area "Area"
d distance "Length"
ε permittivity "ElectricPermittivity"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Capacitance of Parallel Plates"]
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Get the formula:

In[2]:=
FormulaData[ResourceObject["Capacitance of Parallel Plates"]]
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Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Capacitance of Parallel Plates"], {QuantityVariable[ "d","Length"] -> Quantity[1, "Millimeters"], QuantityVariable["A","Area"] -> Quantity[1, ("Centimeters")^2], QuantityVariable["C","ElectricCapacitance"] -> Quantity[1, "Picofarads"]}]
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