
Chapter 7
This looks like a series combination (for resistors and inductors), but in reality, it is a
parallel combination (of capacitors). Similarly, two capacitors in series give us
Z(s) = Z
1
(s) + Z
2
(s) ⇒
1
Cs
=
1
C
1
s
+
1
C
2
s
C =
C
1
× C
2
C
1
+ C
2
(series capacitance)
This looks like a parallel combination (for resistors and inductors), but in reality, it is a series
combination (of capacitors).
To calculate the response of complex circuits and stimuli in the s-plane, we will need to use
the above impedance summing rules, along with the rather obvious s-plane versions of the
electrical laws. For example, Ohm’s law is now
V(s) = I(s) × Z(s)
Finally, the use of s gives ...