Question: The circuit shown is a simple RC filter. The capacitor C can be charged and discharged by opening and closing the switch, S . Derive

The circuit shown is a simple RC filter. The capacitor C can be charged and discharged by opening and closing the switch, S. Derive expressions for Vo in terms of R,C, and Vi when the switch is closed for time t and then opened.
What is the time constant for this circuit? If Vi is 5.0 V , at what time Vo is 2.5 V ? What is the frequency at 3 dB .
The circuit shown is a simple RC filter. The

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