The formulas to calculate the Lower Cutoff Frequency (LCF) and Higher Cutoff Frequency (HCF) are:
\[ LCF = \frac{1}{2 \pi R2 C2} \]
\[ HCF = \frac{1}{2 \pi R1 C1} \]
Where:
A Bandpass Filter is an electronic circuit that allows a specific range of frequencies to pass through while attenuating or blocking frequencies outside of this range. It combines the properties of two other filters: the low-pass filter, which allows low-frequency signals to pass through, and the high-pass filter, which allows high-frequency signals to pass through.
The importance of a Bandpass Filter lies in its ability to selectively filter out unwanted frequencies and isolate the desired frequency range. By doing so, it enhances the clarity and quality of signals in various applications.
Let's assume the following values:
Using the formulas to calculate the cutoff frequencies:
\[ LCF = \frac{1}{2 \pi R2 C2} = \frac{1}{2 \pi \times 2000 \times 0.000002} = 39.79 \text{ Hz} \]
\[ HCF = \frac{1}{2 \pi R1 C1} = \frac{1}{2 \pi \times 1000 \times 0.000001} = 159.15 \text{ Hz} \]
The Lower Cutoff Frequency (LCF) is 39.79 Hz, and the Higher Cutoff Frequency (HCF) is 159.15 Hz.