## Example Analog Filter

Figure E.1 shows a simple analog filter consisting of one resistor ( Ohms) and one capacitor ( Farads). The voltages across these elements are and , respectively, where denotes time in seconds. The filter input is the externally applied voltage , and the filter output is taken to be . By Kirchoff's loop constraints [20], we have

 (E.1)

and the loop current is .

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