If the critical frequency of a low-pass filter is 5 kHz, what is the filter bandwidth?
BW = 5kHz.
To find the bandwidth of a low-pass filter, you need to know the critical frequency and the filter type. The critical frequency is the frequency at which the filter begins to attenuate the input signal.
In the case of a low-pass filter, it allows frequencies below the critical frequency to pass through while attenuating frequencies above it. The bandwidth of a low-pass filter is the difference between the critical frequency and the lowest frequency that is being attenuated significantly.
To calculate the bandwidth, you need to determine the lowest frequency that is being attenuated significantly. In the case of a low-pass filter, this is typically taken to be the frequency at which the signal is attenuated by 3 dB (decibels).
Here's how you can calculate the bandwidth:
Step 1: Determine the lowest frequency that is being attenuated significantly. This is the point where the signal is attenuated by 3 dB.
Step 2: Calculate the difference between the critical frequency and the lowest attenuated frequency. This difference will give you the bandwidth of the low-pass filter.
In this case, you mentioned that the critical frequency is 5 kHz. However, you didn't specify the exact attenuation level or filter type, which is crucial to determining the lowest attenuated frequency. You need to provide additional information or the specific attenuation level in decibels at which the signal is considered significantly attenuated. Once you have that information, you can calculate the bandwidth of the low-pass filter.