An instrument needs to detect periodic signals of approximately 5000 Hz. The instrument operates in an environment with a lot of periodic noise ranging from a few to several hundred hertz. A high-pass RC filter can be built using available 2.2 µF capacitors; resistors of any necessary value are also available. What Values of R will create a Cut off values that will safely pass the 5000 Hz and eliminate the low frequencies mentioned. Show all your work.

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Filter

A filter is a device or process which removes some of the unwanted features or components like frequencies from a signal in signal processing. The feature of filters is the complete or partial suppression of some part of the signal, and filtering is a class of signal processing. This most often means removing some frequency bands or some frequencies. In the frequency domain, the filters do not exclusively act, especially in the image processing field many other targets for filtering exist. Without having to act in the frequency domain, the correlations can be removed for certain frequency components and not for others. The filters are widely used in electronics and telecommunication, in television, radio, radar, audio recording, music synthesis, control systems, computer graphics, and image processing.