Design an RC low-pass filter with a cutoff frequency at 2kHz, using a capacitor of \(0.1\mu F\)
A. Show a circuit diagram and your calculations in obtaining R
B. Make as sketch of the absolute value of the input impedence \(|Z_{in}|\) of the filter vs. frequency. What are the limiting values of
\(| Z_{in}|\)?
C. Make a similar sketch of the output impedence of the filter.
D. If we connect the filter to a load resistance \(R_{L}\) what minimum value should it have in order to not load the filter?