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Resonance Frequency Equation

An LC circuit, also called a resonant circuit, is an electric circuit consisting of an inductor and a capacitor connected together. The circuit can act as an electrical resonator (an electrical analog of a tuning fork) storing energy oscillating at the circuit's resonant frequency.

The resonance frequency equals the reciprocal of 2\[Pi] times the square root of the electric capacitance times the magnetic inductance.

Formula

QuantityVariable["f", "Frequency"] == 1/(2*Pi*Sqrt[QuantityVariable["C", "ElectricCapacitance"]*QuantityVariable["L", "MagneticInductance"]])

symbol description physical quantity
f resonance frequency "Frequency"
C electric capacitance "ElectricCapacitance"
L magnetic inductance "MagneticInductance"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Resonance Frequency Equation"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Resonance Frequency Equation"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Resonance Frequency Equation"], {QuantityVariable[ "f","Frequency"] -> Quantity[1000, "Hertz"], QuantityVariable["L","MagneticInductance"] -> Quantity[1, "Henries"]}]
Out[3]=

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