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
and the loop current is

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Laplace Analysis of Linear Systems