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. 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