December 2005
Intermediate to advanced
475 pages
12h 6m
English
Content preview from Signals and Systems
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4.16 PURE CAPACITIVE ELEMENT
Fig. 4.17 shows a pure capacitive circuit.
Fig. 4.17 Pure capacitive circuit
From Fig. 4.17, the time-domain relationship between current and voltage is given by
The Laplace transform of Eq. (4.71) is given by
I(s) = C [(sV (s)– V(0–)]= CsV(s)– CV(0–) = CsV(s)– q(0–)
The initial voltage V0 = V(0–) with positive polarity of the side of the capacitor opposing the charging current is considered. The ...
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