PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB

254 Practical MATLAB® Applications for Engineers

and

Zj

jj

jj

TH
  j





14 


8484

8484

64

()()

(by replacing the voltage sources by shorts).

The Thevenin’s equivalent circuit is shown in Figure 3.27.

Then,

I

V

ZZ

j

L TH j

LTH









 

10 5

10

105 .A

R.3.62 Note that source transformation concept for the DC case discussed in Chapter 2
can be extended to include the AC. Note that source transformation was already
employed in the example presented in R.3.61. Observe that a current source of
I = 6 + j3 with a parallel impedance of Z 2 = 8 − j4 was converted into a voltage
source of 60 V (Z 2 * I) in series with Z 2 (Figure 3.25).

R.3.63 The circuit shown in Figure 3.28 is used to illustrate Norton’s theorem and source
transformation in evaluating the current IL through the load ZL.

VTH = −10 + j 5

ZTH = 6 + j 4

IL ZL = 4 − j 4

FIGURE 3.27
Thevenin’s equivalent circuit of Figure 3.25.

Z 1 = 4 − j 2

Z 2 = 6 + j 2 Z^4 = 11 −^ j^2

Z 3 = 6 + j 2

E = 100 V ZL = 46

a

a′

IL

9

8

− j 9

FIGURE 3.28
Network of R.3.63.