Frequency of an LC circuit

f=\dfrac{1}{2\pi\sqrt{LC}}

Result unit: Hz (hertz)

What it describes

The natural oscillation frequency of an LC resonant circuit.

f

oscillation frequency

[Hz]

L

inductance

[H]

C

capacitance

[F]

A circuit with an inductor (

L

) and a capacitor (

C

) oscillates electrically at its resonant frequency — the larger

L

C

, the slower the oscillations. This is the basis of tuning radio receivers.

LC resonant circuits, oscillators, radio tuning.

L=1

mH,

C=1

µF. Calculate the oscillation frequency.

Substitution

LC=10^{-3}\cdot10^{-6}=10^{-9}

Result

f=\dfrac{1}{2\pi\sqrt{10^{-9}}}\approx5

kHz.

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