Question: You are required to analyse a first order RC low pass filter with the cut-off frequency of 2 kHz. a. Using appropriate values for

You are required to analyse a first order RC low pass filter

You are required to analyse a first order RC low pass filter with the cut-off frequency of 2 kHz. a. Using appropriate values for each resistance and capacitance, sketch the circuit diagram for this filtering system and derive its differential equation. b. If the input voltage is given by x(t) = 2cos(2nkt) + cos(5nkt) + 5, show that the designed system manages to filter the unwanted signal.

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