PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB

256 Practical MATLAB® Applications for Engineers

Then,

ZTH = [(Z 1 ||Z 2 ) + Z 3 ] ||Z 4 Ω

Z||Z Z

jj

12 3
 jj



 
 

()()

..

6242

10

6 2 88 16 Ω

and

Z

jj

j

TH
 j







(. .)*()

..

88 16 11 2

19 8 3 6

44

9

8

9

Ω

Finally, the Norton’s equivalent circuit is shown in Figure 3.32, and the Thevenin’s

equivalent circuit is shown in Figure 3.33. The current IL can then easily be evaluated

from either circuit, as illustrated as follows:

I

jj

L jj




  

   

(( ) ( ))*()

()()()()

44 9 8 9 7

449 89 469 89

A (from FFigure 3.32)

I

j

L
 j






(/)(/)300 9 100 9

10

30

9

10

9

A (from Figure 3.33)

ZjTH
^44

9

8

9

Ω

a′

Z 1 = 4 – j 2 Z^2 = 6 + j^2 Z 4 = 11 + j 2 ZTH

a

Z 3 = 6 + j 2

FIGURE 3.31
ZTH model for the circuit diagram of Figure 3.28.

IN = 7 + j (^) ZL=
9
8
9
46
−j
ZTH =
9
8
9
44
+j
IL
FIGURE 3.32
Norton’s equivalent circuit of Figure 3.28.