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Self-Inductance of a Single-Layer Circular Coil of Small Radius

The self­inductance of a single­layer circular coil of small radius is a property that describes the electromotive force caused by the change in current in the coil.

The self\[Hyphen]inductance increases quadratically with the number of coils and the coil radius. It decreases inversely with the coil length.

Formula

QuantityVariable["L", "MagneticInductance"] == (Quantity[Pi, "MagneticConstant"]*QuantityVariable["N", "Unitless"]^2*QuantityVariable["r", "Radius"]^2)/QuantityVariable["l", "Length"]

symbol description physical quantity
L self­inductance "MagneticInductance"
l coil length "Length"
N coil turns "Unitless"
r coil radius "Radius"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Self-Inductance of a Single-Layer Circular Coil of \ Small Radius"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject[ "Self-Inductance of a Single-Layer Circular Coil of Small Radius"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Self-Inductance of a Single-Layer Circular Coil of Small Radius"], \ {QuantityVariable["r","Radius"] -> Quantity[1, "Centimeters"], QuantityVariable["N","Unitless"] -> 10}]
Out[3]=

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