Page 336

CHAP. 13]

13.8

325

TWO-PORT NETWORKS

Apply KCL at the nodes of the network in Fig. 13-21 to obtain its terminal characteristics and Yparameters. Show that two-port networks of Figs. 13-18 to 13-21 are all equivalent. Input node: Output node:

V1 V1  V2 V2 þ þ 12 12 4 V2 V2  V1 I2 ¼ þ 3 12 1 1 1 5 I2 ¼  V1 þ V2 I1 ¼ V 1 þ V 2 6 6 12 12 I1 ¼

The Y-parameters observed from the above characteristic equations are identical with the Y-parameters of the circuits in Figs. 13-18, 13-19, and 13-20. Therefore, the four circuits are equivalent.

13.9

Z-parameters of the two-port network N in Fig. 13-22(a) are Z11 ¼ 4s, Z12 ¼ Z21 ¼ 3s, and Z22 ¼ 9s. (a) Replace N by its T-equivalent. (b) Use part (a) to find input current i1 for vs ¼ cos 1000t (V). (a) The network is reciprocal. Therefore, its T-equivalent exists. shown in the circuit of Fig. 13-22(b).

Fig. 13-22

Its elements are found from (6) and

Mahmood_Nahvi_eBook_Schaum_s_Outlines_Theory_An  
Advertisement