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Signals and Systems by Smarajit Ghosh

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4.16 PURE CAPACITIVE ELEMENT

Fig. 4.17 shows a pure capacitive circuit.

 

Pure capacitive circuit

 

Fig. 4.17 Pure capacitive circuit

 

From Fig. 4.17, the time-domain relationship between current and voltage is given by

 

image

 

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–)

 

image

 

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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