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SINUSOIDAL STEADY-STATE CIRCUIT ANALYSIS

9.27

Replace the active network in Fig. 9-34(a) at terminals ab with a The´venin equivalent. Z 0 ¼ j5 þ

5ð3 þ j4Þ ¼ 2:50 þ j6:25 5 þ 3 þ j4

[CHAP. 9



The open-circuit voltage V 0 at terminals ab is the voltage across the 3 þ j4  impedance: V0 ¼

  10 08 ð3 þ j4Þ ¼ 5:59 8 þ j4

26:568 V

Fig. 9-34

9.28

For the network of Problem 9.27, obtain a Norton equivalent circuit (Fig. 9-35). At terminals ab, Isc is the Norton current I 0 . By current division,   10 08 3 þ j4 ¼ 0:830 41:638 A I0 ¼ j5ð3 þ j4Þ 3 þ j9 5þ 3 þ j9

Fig. 9-35

Fig. 9-36

The shunt impedance Z 0 is as found in Problem 9.27, Z 0 ¼ 2:50 þ j6:25 .

9.29

Obtain the The´venin equivalent for the bridge circuit of Fig. 9-36. Make V 0 the voltage of a with respect to b. By voltage division in either branch,

Vax ¼

12 þ j24 ð20 33 þ j24

08Þ

Vbx ¼

30 þ j60 ð20 80 þ j60

08Þ

Mahmood_Nahvi_eBook_Schaum_s_Outlines_Theory_An  
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