1/4 Wave Resonator Calculator

Calculate 1/4 Wave Resonator Length

Formula

The formula to calculate the length of a 1/4 wave resonator is:

\[ L = \frac{c}{4 \times f} \]

Where:

What is a 1/4 Wave Resonator?

A 1/4 wave resonator is a type of resonator that uses the principle of resonance at a frequency that is one quarter of the wavelength of the wave. It is commonly used in acoustics and radio frequency applications. The resonator is designed in such a way that it allows certain frequencies to pass while reflecting others, thus acting as a filter. This is achieved by creating a standing wave within the resonator, where the wave’s amplitude is maximized at specific points, allowing for the selective amplification or attenuation of certain frequencies.

Example Calculation

Let's assume the following values:

Using the formula:

\[ L = \frac{299792458}{4 \times 1000} = 74948.1145 \text{ meters} \]

The 1/4 Wave Resonator Length (L) is 74948.1145 meters.