Environmental Engineering Reference
In-Depth Information
Expanding at the DC operation point in its Taylor series and
truncating the series at its third-order term yield
where
The first term on the right had side of (2.16) gives the junction capaci-
tance at the DC operating point
whereas the remaining terms quantify the AC capacitance.
It is seen that the AC capacitance is a nonlinear function of both the DC
operating point and the AC amplitude of the reverse biasing voltage.
If a nonlinear capacitor has initial charge
the capacitor is char-
acterized in the Laplace domain by
or equivalently in the time domain
Now consider a nonlinear capacitor in an externally clock circuit. Let
denote the charge of the capacitor at
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