LC Circuit Resonant Frequency Formula
The LC Circuit Resonant Frequency conversion calculator determines the natural oscillation frequency of an LC circuit using the following formula:
f = 1 / (2π × √(L × C))
Formula Explanation
In this formula, L represents the inductance in henries, and C represents the capacitance in farads. The resonant frequency f is calculated in hertz, and the formula shows that frequency decreases as either L or C increases. This relationship is fundamental in designing circuits like filters, oscillators, and tuners.
Uses of LC Circuit Resonant Frequency conversion calculator
The LC Circuit Resonant Frequency conversion calculator is useful in various electronics applications, including:
- Designing RF and audio oscillators.
- Tuning LC filters for signal processing.
- Educational purposes in electronics and physics courses.
- Calculating resonance for wireless power transfer systems.
- Testing and designing tank circuits in communication systems.
Formula Example
Suppose we have an inductor L = 10 µH and a capacitor C = 100 pF.
Convert units to base: L = 10 × 10⁻⁶ H, C = 100 × 10⁻¹² F.
Apply the formula:
f = 1 / (2π × √(10 × 10⁻⁶ × 100 × 10⁻¹²)) ≈ 159.15 MHz.
This frequency is the natural resonant frequency of the LC circuit.