Driving Point Impedance

Taking the Laplace transform of both sides of Eq.(E.1) gives

where we made use of the fact that the impedance of a capacitor is , as derived above, and the impedance of a resistor is just (since impedance is defined as voltage over current for electrical systems, or force over velocity for mechanical systems). The driving point impedance of the whole RC filter is thus

Alternatively, we could simply note that impedances always sum in series and write down this result directly.

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Center for Computer Research in Music and Acoustics (CCRMA), Stanford University