The formula to calculate the length of a 1/4 wave resonator is:
\[ L = \frac{c}{4 \times f} \]
Where:
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.
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.