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Impedance

 

Now suppose we have zero initial conditions: v_C(0^-)=0 V, i_L(0^-)=0 A. We would like to write Ohm's law for both capacitors and inductors in the compact form

V(s) = Z(s) I(s)

where Z(s) is called the impedance operator. We shall see that this simplifies circuit analysis. From equations (23) and (22) we obtain the impedance values shown in Table 2.

 

Table 2: s-domain impedances.

Resistor	Z(s)=R
Capacitor	$Z(s)=\frac{1}{sC}$
Inductor	Z(s) = sL

 

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