Network Analysis and Synthesis, 1st Edition by Pearson

Network Functions − s-Domain Analysis of Circuits 413

A capacitor in the s-domain is represented as shown in Figure 10.5(b) with initial charge V

0

.

−

−

+

+

SL

LI

o

i

−

+

Cs

i

1

V

o

s

(a) (b)

Figure 10.5 Representation in s-domain with Initial Stored Energy (a) inductor;

(b) Capacitor

10.3 ONE-PORT NETWORK

It is a network that has only one port, that is, one pair of

terminals. It is shown in Figure 10.6.

The block diagram representation of one-port net-

work as shown has only one port 1-1′. v(t) is the volt-

age at the input port and i(t) is the input current.

For the one-port network, we can determine either

the impedance or the admittance. These are defined as ...