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1172 ⏐⏐⏐ SYSTEM ANALYSIS: AN INTRODUCTION<br />

Short circuited<br />

1<br />

E 1 = 0<br />

and y12 ��Y2 (26.37)<br />

The network employed for y21 appears in Fig. 26.42. In this case, Y3 is short circuited, resulting in<br />

IY2 � I2 and IY2 � I2 ��E1Y2 with y 21 �<br />

1′<br />

I 1<br />

I 2<br />

� E1<br />

E 2 � 0<br />

and y21 ��Y2 (26.38)<br />

E 1<br />

+<br />

–<br />

I 1<br />

1<br />

1′<br />

Y 1<br />

Y 1<br />

I Y2<br />

Y 2<br />

FIG. 26.41<br />

Determining y 12.<br />

Y 2<br />

I Y2<br />

Y 3<br />

FIG. 26.42<br />

Determining y 21.<br />

I 2<br />

Y 3<br />

2′<br />

2<br />

2<br />

2′<br />

E 2 = 0<br />

I 2<br />

+<br />

–<br />

E 2<br />

Short circuited<br />

Note that for the p configuration, y 12 � y 21, which was expected<br />

since the impedance parameters for the T network were such that z 12 �<br />

z 21. A T network can be converted directly to a p network using the<br />

Y-D transformation.<br />

The determining network for y 22 appears in Fig. 26.43, and<br />

Short circuited<br />

1<br />

I 1<br />

IY2 I2 Y2 2<br />

E1 = 0 Y1 Y3 E 2<br />

1′<br />

FIG. 26.43<br />

Determining y 22.<br />

2′<br />

+<br />

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