0195136047.pdf

192 TIME-DEPENDENT CIRCUIT ANALYSIS

*3.4.22Determine theh-parameters for the circuit shown
in Figure P3.4.22 and obtain the transfer function
V 2 /V 1 whenI 2 =0.
3.4.23A negative impedance converter circuit shown in
Figure P3.4.23 is used in some applications where
inductors cannot be utilized or where negative
resistance is beneficial.
(a) Determine theh-parameters for the network.

(b) When the resistanceRis connected across ter-

minals 2–2′, find the impedance seen looking

into terminals 1–1′.

3.4.24Show that the block diagram of Figure P3.4.24

can be reduced to the form of Figure 3.4.12. Find

Geq(s) andHeq(s).

3.4.25Show that the block diagram of Figure P3.4.25(a)

can be reduced to that of Figure P3.4.25(b).

V 1

1 ′

1

2 ′

2

+

−

−

+ +

−

V 2

gmVgs

Rk

gd

(^1) Ω
Vgs
s
g Figure P3.4.19
V
2 '
2

• +−
  −
  V 2


• 
  

  −
  V 1 R 2
  R
  1
  Cs
  I 1 I 2
  gV
  1 '
  1
  Figure P3.4.20
  2 ′
  2

  
  


• 
  

  −
  V 2

  
  


• 
  

  −
  V 1 R 2
  R 1
  1
  C 1 s
  I 1 I 2
  1 ′
  1
  Figure P3.4.22
  2 ′
  2
  4 IA
  Ix RRIy
  1 ′
  1 IA
  Figure P3.4.23
  R(s)
  +− +− ++
  H 1
  G 5
  G 1 G 2 G 3 G 4 G 6
  H 2
  Figure P3.4.24