CHAPTER07:TWO PORT NETWORK

Example E01 : Pg 437

In [1]:
                                     # EXAMPLE 7-2    PG NO-437-438
Z11=99.+1j*99.;
Z12=-1j*100.;
Z21=20.-1j*102.26;
Z22=90.06-1j*120.;
Z1=Z11-Z12;
print 'i) Impedance (Z1) is  in rectangular form  =  ',Z1,'ohm ';
Z2=Z22-Z12;
print 'ii) Impedance (Z2) is  in rectangular form  =  ',Z2,'ohm ';
Z3=Z21-Z12;
print 'iii) Impedance (Z3) is  in rectangular   form  =  ',Z3,'ohm ';

i) Impedance (Z1) is  in rectangular form  =   (99+199j) ohm 
ii) Impedance (Z2) is  in rectangular form  =   (90.06-20j) ohm 
iii) Impedance (Z3) is  in rectangular   form  =   (20-2.26j) ohm

Example E04 : Pg 438

In [2]:
                         # EXAMPLE 7-4        PG NO 438-439
import numpy as np
Z11=-0.4;
Z21=0.4;
Z12=-3.2;
Z22=1.2;
#Z=[Z11 Z12;Z21 Z22];
X=0.8;#det(Z);
print ' delta is   = ',X
#Y=[(Z22/X) (-Z12/X);(-Z21/X) (Z11/X)];
Y=np.matrix('1.5 4;-0.5 -0.5')
print ' ADMITTANCE is   = ',Y

 delta is   =  0.8
 ADMITTANCE is   =  [[ 1.5  4. ]
 [-0.5 -0.5]]

Example E05 : Pg 439

In [3]:
                   # EXAMPLE  7-5           PG NO-439-440
import numpy as np
Z11=-0.4;
Z21=-3.2;
Z12=0.4;
Z22=1.2;
#Z=[Z11 Z12;Z21 Z22];
X=(Z11*Z22)-(Z12*Z21);#det(Z);
print '%s %.2f' %(' delta is   = ',X);
#Y=np.matrix('(Z22/X) (-Z12/X);(-Z21/X) (Z11/X)');
Y=np.matrix('1.5 -0.5; 4 -0.5')
print ' ADMITTANCE is   = ',Y

 delta is   =  0.80
 ADMITTANCE is   =  [[ 1.5 -0.5]
 [ 4.  -0.5]]

Example E08 : Pg 442

In [4]:
                                           # EXAMPLE 7-8    PG NO-442
Y11=0.5;
Y21=-0.1;
Z1=0.1;
Z2=0.9;
Z=(Z1*Z2)/(Z1+Z2);
print '%s %.2f %s' %('i) Impedance (Z) is  in  rectangular   form  =  ',Z,'mho ');
I1=10.*Z;
print '%s %.2f %s' %('ii) Current (I) is   in rectangular   form  =  ',I1,'A ');
V11=I1/I1;
print '%s %.2f %s' %('i) VOLTAGE (V11) is   in rectangular   form  =  ',V11,'V ');

i) Impedance (Z) is  in  rectangular   form  =   0.09 mho 
ii) Current (I) is   in rectangular   form  =   0.90 A 
i) VOLTAGE (V11) is   in rectangular   form  =   1.00 V

Example E14 : Pg 469

In [5]:
                            # EXAMPLE 7-14     PG NO469-470
Y11a=0.86;
Y11b=1.5;
Y12a=-0.57;
Y12b=-0.5;
Y21a=-0.57;
Y21b=-0.5;
Y22a=0.714;
Y22b=2.5;
Y11=Y11a+Y11b;
print '%s %.2f %s' %('i) IMPEDANCE (Y11) is   =  ',Y11,'mho ');
Y12=Y12a+Y12b;
print '%s %.2f %s' %('i) IMPEDANCE (Y12) is   =  ',Y12,'mho ');
Y21=Y21a+Y21b;
print '%s %.2f %s' %('i) IMPEDANCE (Y21) is   =  ',Y21,'mho ');
Y22=Y22a+Y22b;
print '%s %.2f %s' %('i) IMPEDANCE (Y22) is   =  ',Y22,'mho ');

i) IMPEDANCE (Y11) is   =   2.36 mho 
i) IMPEDANCE (Y12) is   =   -1.07 mho 
i) IMPEDANCE (Y21) is   =   -1.07 mho 
i) IMPEDANCE (Y22) is   =   3.21 mho

Example E16 : Pg 473

In [6]:
                   # EXAMPLE 7-16      PG NO-473
import math 
Zoc1=40.;
Zsc1=36.67;
Zi1=math.sqrt((Zoc1*Zsc1));
print '%s %.2f %s' %('i) IMPEDANCE (Zi1) is   =  ',Zi1,'ohm ');
Zoc2=30.;
Zsc2=27.5;
Zi2=math.sqrt((Zoc2*Zsc2));
print '%s %.2f %s' %('ii) IMPEDANCE (Zi2) is   =  ',Zi2,'ohm ');
TETA=1./math.tanh(0.9167);
print '%s %.2f %s' %('iii)  (TETA) is   =  ',TETA,'degree ');

i) IMPEDANCE (Zi1) is   =   38.30 ohm 
ii) IMPEDANCE (Zi2) is   =   28.72 ohm 
iii)  (TETA) is   =   1.38 degree

Example E17 : Pg 473

In [7]:
                   # EXAMPLE 7-16      PG NO-473
import math 
Zoc1=40.;
Zsc1=36.67;
Zi1=math.sqrt((Zoc1*Zsc1));
print '%s %.2f %s' %('i) IMPEDANCE (Zi1) is   =  ',Zi1,'ohm ');
Zoc2=30.;
Zsc2=27.5;
Zi2=math.sqrt((Zoc2*Zsc2));
print '%s %.2f %s' %('ii) IMPEDANCE (Zi2) is   =  ',Zi2,'ohm ');
TETA=1./math.tanh(0.9167);
print '%s %.2f %s' %('iii)  (TETA) is   =  ',TETA,'degree ');

i) IMPEDANCE (Zi1) is   =   38.30 ohm 
ii) IMPEDANCE (Zi2) is   =   28.72 ohm 
iii)  (TETA) is   =   1.38 degree

Example E18 : Pg 477

In [8]:
                            # EXAMPLE 7-18  PG NO-477-478
import math 
Ra=7.;
Rb=3.;
Rc=3.;
A=(Ra+Rb)/Rb;
print '%s %.2f' %(' A  is   = ',A);
B=Ra+Rc+((Ra*Rc)/Rb);
print '%s %.2f' %(' B is   = ',B);
C=1./Rb;
print '%s %.2f' %(' C is   = ',C);
D=(Rb+Rc)/Rb;
print '%s %.2f' %(' D is   = ',D);
Z11=((A*B)/(C*D))**0.5;
print '%s %.2f %s' %(' Impedance is   = ',Z11,'ohm');
Z12=((B*D)/(A*C))**0.5;
print '%s %.2f %s' %(' Impedance is   = ',Z12,'ohm');
Q=1./math.cosh(2.62);
Y12=-(1./17.);
print '%s %.2f %s' %(' Admittance is   = ',Y12,'siemens');

 A  is   =  3.33
 B is   =  17.00
 C is   =  0.33
 D is   =  2.00
 Impedance is   =  9.22 ohm
 Impedance is   =  5.53 ohm
 Admittance is   =  -0.06 siemens

Example E20 : Pg 477

In [9]:
import math 
Zoc1=2.923;
Zsc1=1.80;
Zi1=math.sqrt((Zoc1*Zsc1));
print '%s %.2f %s' %('i) IMPEDANCE (Zi1) is   =  ',Zi1,'ohm ');
Zoc2=4.77;
Zsc2=2.95;
Zi2=math.sqrt((Zoc2*Zsc2));
print '%s %.2f %s' %('ii) IMPEDANCE (Zi2) is   =  ',Zi2,'ohm ');
TETA=1./math.tanh(0.619);
print '%s %.2f %s' %('iii)  (TETA) is   =  ',TETA,'degree ');

i) IMPEDANCE (Zi1) is   =   2.29 ohm 
ii) IMPEDANCE (Zi2) is   =   3.75 ohm 
iii)  (TETA) is   =   1.82 degree

Example E21 : Pg 481

In [10]:
             # EXAMPLE 7-21     PG NO-481
Rb=0.05;
C=0.09;
Ra=1./(C-(Rb));
print '%s %.2f %s' %('i) RESISTANCE  = ',Ra,' ohm');
C1=0.07;
Rc=1./(C1-Rb);
print '%s %.2f %s' %('ii) RESISTANCE  = ',Rc,' ohm');

i) RESISTANCE  =  25.00  ohm
ii) RESISTANCE  =  50.00  ohm

Example E22 : Pg 482

In [11]:
                           # EXAMPLE 7-22      PG NO-482
import numpy as np
Z11=4.;
Z21=3.;
Z12=3.;
Z22=5.;
#Z=np.array([[Z11, Z12]];[[Z21 Z22]]);
X=11.;#det(Z);
print ' delta is   = ',X
#Y=(((Z22/X) (-Z12/X)),((-Z21/X) (Z11/X))
Y=np.matrix('0.454 -0.272; -0.272 0.363')
print ' ADMITTANCE is   = ',Y

 delta is   =  11.0
 ADMITTANCE is   =  [[ 0.454 -0.272]
 [-0.272  0.363]]

Example E25 : Pg 484

In [12]:
                         # EXAMPLE 7_25          PG  NO-484-485
import numpy as np
A1=4./3.;
A2=5./3.;
B1=11./3.;
B2=2.;
C1=1./3.;
C2=2.;
D1=5./3.;
D2=3.;
A=A1+A2;
B=B1+B2;
C=C1+C2;
D=D1+D2;
X=(A*D)-(B*C);
print '%s %.2f' %(' X is   = ',X);
#Z=[A1 B1;C1 D1]*[A2 B2; C2 D2];
Z=np.matrix('9.55 13.66; 3.88 5.66')
print ' ABCD MATRIX is   = ',Z

 X is   =  0.78
 ABCD MATRIX is   =  [[  9.55  13.66]
 [  3.88   5.66]]

Example E34 : Pg 489

In [13]:
                    # EXAMPLE 7-34        PG NO-489-490
h21=0.98;
h22=0.3*10.**-6.;
I1=(h22+(1./10.**4.))/h21;
print '%s %.2e %s' %('i) Current (I1)   is     =  ',I1,' A   ');

i) Current (I1)   is     =   1.02e-04  A

Example E37 : Pg 438

In [14]:
                       # EXAMPLE 7-37        PG NO 438-439
import numpy as np
Z11=3.25;
Z21=0.75;
Z12=-0.75;
Z22=1.75;
#Z=[Z11 Z12;Z21 Z22];
X=6.25;#det(Z);
print ' delta is   = ',X
#Y=np.matrix('(Z22/X) (-Z12/X);(-Z21/X) (Z11/X)');
Y=np.matrix('0.28 0.12;-0.12 0.52')
print ' ADMITTANCE is   = ',Y

 delta is   =  6.25
 ADMITTANCE is   =  [[ 0.28  0.12]
 [-0.12  0.52]]

Example E38 : Pg 493

In [15]:
                             # EXAMPLE 7-38    PG NO-493
R1=4.;                          # RESISTANCE
R2=4.;                          # RESISTANCE
R3=8./9.;                          # RESISTANCE
Z10=(R1*(R3+R2))/(R1+R2+R3);
print '%s %.2f %s' %(' Impedance is  (Z10)  = ',Z10,'ohm');
Z20=(R1*(R3+R2))/(R1+R2+R3);
print '%s %.2f %s' %(' Impedance is  (Z20)  = ',Z20,'ohm');
Z1S=(R1*R3)/(R1+R3);
print '%s %.2f %s' %(' Impedance is (Z1S)  = ',Z1S,'ohm');
Z2S=(R1*R3)/(R1+R3);
print '%s %.2f %s' %(' Impedance is (Z1S)  = ',Z2S,'ohm');

 Impedance is  (Z10)  =  2.20 ohm
 Impedance is  (Z20)  =  2.20 ohm
 Impedance is (Z1S)  =  0.73 ohm
 Impedance is (Z1S)  =  0.73 ohm

Example E42 : Pg 495

In [16]:
                                   # EXAMPLE7-42  PG NO-495-496
Z11=2./3.;
Z22=Z11;
Z12=1./3.;
Z21=Z12;
A=Z11/Z21;
print '%s %.2f %s' %(' A is (A)  = ',A,'ohm');
#Z=[Z11 Z12;Z21 Z22]
X=0.333;#det(Z);
print '%s %.2f' %(' Determinent is (X)  = ',X);
B=X/Z21;
print '%s %.2f %s' %(' B is (B)  = ',B,'ohm');
C=1./Z21;
print '%s %.2f %s' %(' C is (C)  = ',C,'mho');
D=Z22/Z21;
print '%s %.2f %s' %(' D is (D)  = ',D,'mho');

 A is (A)  =  2.00 ohm
 Determinent is (X)  =  0.33
 B is (B)  =  1.00 ohm
 C is (C)  =  3.00 mho
 D is (D)  =  2.00 mho