Resonant Frequency Calculator
Calculate the resonant frequency of an LC circuit using inductance (L) and capacitance (C)
Calculator
Enter the values of inductance and capacitance to compute the resonant frequency.
About the Resonant Frequency Calculator
The Resonant Frequency Calculator helps you accurately compute the resonant frequency (f₀) of an LC circuit using the values of inductance (L) and capacitance (C). This frequency represents the point where the inductive and capacitive reactances cancel each other out — a key concept in AC circuit design, oscillators, filters, and radio-frequency (RF) systems.
How the Calculator Works
The calculator uses the standard LC resonance formula to determine the natural frequency at which an electrical circuit oscillates. Simply enter the inductance in henrys (H) and the capacitance in farads (F) — the calculator automatically converts common units such as mH, µH, nF, and pF.
The resonant frequency is given by:
f₀ = 1 / (2π√(L × C))
Where:
• f₀ = resonant frequency (Hz)
• L = inductance (H)
• C = capacitance (F)
Understanding Resonance in LC Circuits
At the resonant frequency, the reactive effects of the inductor and capacitor are equal and opposite. As a result, the circuit behaves purely resistively, allowing maximum current flow. This phenomenon is widely used in:
- Radio transmitters and receivers – to select specific frequency bands.
- Filters and tuners – for band-pass or band-stop frequency control.
- Oscillator circuits – to generate stable AC signals at desired frequencies.
- Wireless power transfer systems – for efficient energy resonance coupling.
Applications of Resonant Frequency Calculations
Knowing the resonant frequency is essential in many areas of electrical and electronic engineering:
- Designing RF amplifiers and matching networks.
- Tuning antennas for maximum signal efficiency.
- Developing band-pass and notch filters in audio and communication systems.
- Optimizing LC tank circuits for oscillation stability.
By using this calculator, engineers and students can quickly evaluate resonance conditions and make informed design choices for high-frequency and low-frequency circuit applications.