A high pass filter with a cutoff frequency of 250 kHz is placed in a circuit after a low pass filter with a cutoff frequency of 150 kHz. Together, these filters create which type of filter?
band-pass filter
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When a high pass filter and a low pass filter are connected in series, they create a bandpass filter. A bandpass filter allows frequencies within a certain range to pass through while attenuating frequencies outside of that range. In this case, the low pass filter with a cutoff frequency of 150 kHz allows frequencies below 150 kHz to pass through, while the high pass filter with a cutoff frequency of 250 kHz allows frequencies above 250 kHz to pass through. The combined effect creates a bandpass filter that allows frequencies between 150 kHz and 250 kHz to pass through.
To determine the type of filter created by placing a high pass filter with a cutoff frequency of 250 kHz after a low pass filter with a cutoff frequency of 150 kHz, we need to consider the combined effect of these two filters.
A low pass filter allows low-frequency components to pass through while attenuating higher-frequency components. Conversely, a high pass filter allows high-frequency components to pass through while attenuating lower-frequency components.
In this case, the low pass filter with a cutoff frequency of 150 kHz will allow frequencies lower than 150 kHz to pass through relatively unattenuated, while frequencies higher than 150 kHz will be attenuated.
Then, the high pass filter with a cutoff frequency of 250 kHz will allow frequencies higher than 250 kHz to pass through relatively unattenuated, while frequencies lower than 250 kHz will be attenuated.
When these two filters are placed in series, the combined effect is that only frequencies between 150 kHz and 250 kHz can pass through without significant attenuation. Frequencies lower than 150 kHz and frequencies higher than 250 kHz will be attenuated.
Therefore, the combined effect of these filters creates a bandpass filter, which allows a specific range of frequencies to pass through while attenuating frequencies outside that range.