# CHAPTER05:ONE PORT NETWORK¶

## Example E01 : Pg 294¶

In [1]:
    # EXAMPLE 5-1  PG NO-294
TR1=32.;
R1=20.;
R2=30.;
R3=20.;
V=32.;
Ir11=V/TR1;
Ir12=Ir11*(R1/(R1+R2));
Ir13=Ir11*(R2/(R1+R3));
TR2=40.;
Ir2=R3/TR2;
Ir1=(R3/TR2)*Ir2;
Ir3=(R3/TR2)*Ir1;
Ir3=Ir13+Ir3;
Ir1=Ir11-Ir1;
Ir2=Ir12-Ir2;
print '%s %.2f %s' %('i) current(Ir3) is   =  ',Ir3,'A ');
Ir3=Ir13+Ir3;
print '%s %.2f %s' %('i) current(Ir1) is  =  ',Ir1,'A ');
Ir1=Ir11-Ir1;
print '%s %.2f %s' %('i) current(Ir2) is   =  ',Ir2,'A ');
Ir2=0.5-0.4;

i) current(Ir3) is   =   0.88 A
i) current(Ir1) is  =   0.75 A
i) current(Ir2) is   =   -0.10 A


## Example E02 : Pg 295¶

In [2]:
    # EXAMPLE 5-2 PG NO-295
Vab1=7.059;
Vab2=2.353;
Vab=Vab1+Vab2;
print '%s %.2f %s' %('i) Votage(Vab) is   =  ',Vab,'V ');

i) Votage(Vab) is   =   9.41 V


## Example E03 : Pg 296¶

In [3]:
     # EXAMPLE 5-3 PG NO-296
TR1=(90./14.);                      # TOTAL RESISTANCE
R1=8.;
R2=6.;
R3=3.;
E1=10.;                            # VOLTS
IR11=E1*(1./TR1);                             # Current in resistance one
IR12=IR11*(R1/(R1+R2));           # Current in resistance Two
IR13=IR11*(R2/(R1+R2));          # Current in resistance one
IR14=0;
TR2=10.;                      # TOTAL RESISTANCE
IR23=TR2/E1;
IR21=IR23*(R2/(R2+R3));
IR22=IR23*(R3/(R2+R3));
IR24=0;
IR34=(10./12.);
IR32=TR2/(R2+(R3*R1/11.));
IR31=IR32*(R1/(R1+R3));
IR33=IR32*(R3/(R1+R3));
IR1=(14.-6.-8.)/9.;
IR2=(8.+3.-11.)/9.;
IR3=(6.+3.)/9.-1.;
IR4=IR34+0+0;
print'i) CURRENT IN RESISTANCE ONE is   =  ',IR11,'V ';
print'i) CURRENT IN RESISTANCE ONE is   =  ',IR12,'V '
print'i) CURRENT IN RESISTANCE ONE is   =  ',IR13,'V '
print'i) CURRENT IN RESISTANCE ONE is   =  ',IR14,'V '
print'i) CURRENT IN RESISTANCE ONE is   =  ',IR21,'V '
print'i) CURRENT IN RESISTANCE ONE is   =  ',IR22,'V '
print'i) CURRENT IN RESISTANCE ONE is   =  ',IR23,'V '
print'i) CURRENT IN RESISTANCE ONE is   =  ',IR24,'V '
print'i) CURRENT IN RESISTANCE ONE is   =  ',IR31,'V '
print'i) CURRENT IN RESISTANCE ONE is   =  ',IR32,'V '
print'i) CURRENT IN RESISTANCE ONE is   =  ',IR33,'V '
print'i) CURRENT IN RESISTANCE ONE is   =  ',IR34,'V '
print'i) CURRENT IN RESISTANCE ONE is   =  ',IR1,'V '
print'i) CURRENT IN RESISTANCE TWO is   =  ',IR2,'V '
print'i)CURRENT IN RESISTANCE THREE  is   =  ',IR3,'V '
print'i) CURRENT IN RESISTANCE FOUR is   =  ',IR4

i) CURRENT IN RESISTANCE ONE is   =   1.55555555556 V
i) CURRENT IN RESISTANCE ONE is   =   0.888888888889 V
i) CURRENT IN RESISTANCE ONE is   =   0.666666666667 V
i) CURRENT IN RESISTANCE ONE is   =   0 V
i) CURRENT IN RESISTANCE ONE is   =   0.666666666667 V
i) CURRENT IN RESISTANCE ONE is   =   0.333333333333 V
i) CURRENT IN RESISTANCE ONE is   =   1.0 V
i) CURRENT IN RESISTANCE ONE is   =   0 V
i) CURRENT IN RESISTANCE ONE is   =   0.888888888889 V
i) CURRENT IN RESISTANCE ONE is   =   1.22222222222 V
i) CURRENT IN RESISTANCE ONE is   =   0.333333333333 V
i) CURRENT IN RESISTANCE ONE is   =   0.833333333333 V
i) CURRENT IN RESISTANCE ONE is   =   0.0 V
i) CURRENT IN RESISTANCE TWO is   =   0.0 V
i)CURRENT IN RESISTANCE THREE  is   =   0.0 V
i) CURRENT IN RESISTANCE FOUR is   =   0.833333333333


## Example E04 : Pg 296¶

In [4]:
E1=100.+1j*0;
E2=43.30+1j*25
Z1=1.+1j*3.;
Z2=1.-1j*3.;
Z3=2.+1j*4.;
Z4=3.-1j*3.;
Z5=1.+1j*5.;
Z6=2.-1j*8.;
Iab1=E1/((Z1+Z2)+((Z3*Z4)/(Z3+Z4)));
I2=E2/((Z5-Z6)+((Z3*Z1+Z2)/(Z3+Z1+Z2)));
Iab2=(I2*Z3)/(Z3+Z1+Z2)
print 'i) CURRENT (Iab1) is   =  ',Iab1,'A '
print 'i) CURRENT (I2) is   =  ',I2,'A '
print 'i) CURRENT (Iab2) is   =  ',Iab2,'A '

i) CURRENT (Iab1) is   =   (17.4528301887-1.41509433962j) A
i) CURRENT (I2) is   =   (1.41627586207-3.00468965517j) A
i) CURRENT (Iab2) is   =   (1.81337931034-1.89944827586j) A


## Example E06 : Pg 299¶

In [5]:
                  # EXAMPLE   5-6    PG NO=299-300
TZ1=54.90+1j*85.;
Z1=40.+1j*0;
Z2=250.-1j*132.625;
Z3=0-1j*132.625;
IR1=(Z1/TZ1)*(Z3/Z2);
print ' CURRENT is  in polar form = ',IR1,'A'
TZ2=173.64+1j*48.84;
Z4=20.+1j*0;
Z5=250.+1j*377.;
Z6=0+1j*377.;
IR2=(Z4/TZ2)*(Z6/Z5);
print ' CURRENT is  in polar form = ',IR2,'A'
IR=(IR1**2+IR2**2)**0.5;
print ' CURRENT is  in polar form = ',IR,'A'

 CURRENT is  in polar form =  (-0.0903679127818-0.161718560602j) A
CURRENT is  in polar form =  (0.0879636927026+0.0283094119919j) A
CURRENT is  in polar form =  (0.111577094136+0.153296421001j) A


## Example E07 : Pg 300¶

In [6]:
     # EXAMPLE 5-7   PG NO-300
IR1=0.185;            # current
IR2=0.0924;          # current
R=250.;              # Resistance
P1=IR1*IR1*R;      # POWER
P2=IR2*IR2*R;    # POWER
P=P1+P2;        # POWER
print '%s %.2f %s' %('i) POWER (P1) is   =  ',P1,'W ');
print '%s %.2f %s' %('i) POWER (P2) is   =  ',P2,'W ');
print '%s %.2f %s' %('i) POWER (P) is   =  ',P,'W ');

i) POWER (P1) is   =   8.56 W
i) POWER (P2) is   =   2.13 W
i) POWER (P) is   =   10.69 W


## Example E08 : Pg 301¶

In [7]:
                    # EXAMPLE 5-8   PG NO-301
Vcb=40./7.;
Vth=-6.2857;
RTH=9.4286;
R=10.;
I=-Vth/(R+RTH);
print '%s %.2f %s' %(' CURRENT is  in polar form = ',I,'A');

 CURRENT is  in polar form =  0.32 A


## Example E09 : Pg 302¶

In [8]:
        # EXAMPLE 5-9  PG NO-302
V=10.;   # Voltage
S=0.5*10.**-5.;
R1=2500.;
R2=1050.;
R3=200.;
R4=500.;
Van=(V/(R1+R4))*R4;
Vbn=(V/(R2+R3))*R3;
VTH=Van-Vbn;
RTH=((R1*R4)/(R1+R4))+((R2*R3)/(R2+R3));
I=VTH/(RTH+100.);
GD=I/S;                        # Galvonater Deflection
print '%s %.2f %s' %('i) voltage (Van) is   =  ',Van,'V ');
print '%s %.2f %s' %('i) Voltage (Vbn) is   =  ',Vbn,'V ');
print '%s %.2f %s' %('i) Voltage (VTH) is   =  ',VTH,'V ');
print '%s %.2f %s' %('i) Resistance (RTH) is   =  ',RTH,'ohms ');
print '%s %.2e %s' %('i) CURRENT (I) is   =  ',I,'A ');
print '%s %.2f %s' %('i) Galvoneter Deflection (GD) is   =  ',GD,'mm ');

i) voltage (Van) is   =   1.67 V
i) Voltage (Vbn) is   =   1.60 V
i) Voltage (VTH) is   =   0.07 V
i) Resistance (RTH) is   =   584.67 ohms
i) CURRENT (I) is   =   9.74e-05 A
i) Galvoneter Deflection (GD) is   =   19.47 mm


## Example E10 : Pg 303¶

In [9]:
        # EXAMPLE  5-10 PG NO-303
I1=(58./21.);
R1=2.;
R2=5.;
R3=15.;
VTH=R1+I1;                  # Thevenins Voltage
RTH=(1.*(R2+R3))/(1.+(R2+R3));      # Thevenins   resistance
I=VTH/(10.+RTH);             # CURRENT
P=I*I*10.;                  # POWER
print '%s %.2f %s' %('i)Thevenins  voltage  (VTH) is   =  ',VTH,'V ');
print '%s %.2f %s' %('i) Thevenins   resistance (RTH) is   =  ',RTH,'ohm ');
print '%s %.2f %s' %('i) current (I) is   =  ',I,'A ');
print '%s %.2f %s' %('i) power (P) is   =  ',P,'W ');

i)Thevenins  voltage  (VTH) is   =   4.76 V
i) Thevenins   resistance (RTH) is   =   0.95 ohm
i) current (I) is   =   0.43 A
i) power (P) is   =   1.89 W


## Example E11 : Pg 303¶

In [10]:
                             # EXAMPLE 5-11        PG NO-303
X=8.+1j*8.;                             # X=I1/V1;
X1=0+1j*30./25.+1j*80.;                  # X1=Va/V1;
V1=(20.*(25.+1j*80.))/(0+1j*30.);
print ' VOLTAGE is  in polar form = ',V1,'V'

 VOLTAGE is  in polar form =  (53.3333333333-16.6666666667j) V


## Example E12 : Pg 304¶

In [11]:
           # EXAMPLE 5-12   PG NO304-305
I2=0.411+1j*0;
VTH=5+1j*0-(I2*5.);
ZTH=1./(1.+(1./2.)+(1./5.));
Iab=VTH/(ZTH+(2.+1j*2.));
print 'i) VOLTAGE (VTH) is in polar form   =  ',VTH,'V '
print 'i) IMPEDANCE (ZTH) is    in polar form =  ',ZTH,'ohms '
print 'i) Current (Iab) is   in polar form =  ',Iab,'A '

i) VOLTAGE (VTH) is in polar form   =   (2.945+0j) V
i) IMPEDANCE (ZTH) is    in polar form =   0.588235294118 ohms
i) Current (Iab) is   in polar form =   (0.7124385511-0.550520698577j) A


## Example E14 : Pg 306¶

In [12]:
        # EXAMPLE 5-14  PG NO-306
V1=120.;
V2=65.;
R1=40.;
R2=60.;
IN=(V1/R1)+(V2/R2);
RN=(R1*R2)/(R1+R2);
IRL=IN*(RN/(RN+11.));
print '%s %.2f %s' %('i) Current (IN) is   =  ',IN,'A ');
print '%s %.2f %s' %('i) Current (RN) is   =  ',RN,'ohms ');
print '%s %.2f %s' %('i) Current (IRL) is   =  ',IRL,'A ');

i) Current (IN) is   =   4.08 A
i) Current (RN) is   =   24.00 ohms
i) Current (IRL) is   =   2.80 A


## Example E15 : Pg 306¶

In [13]:
         # EXAMPLE 5-15   PG NO-306
I2=-0.67;
R1=8.;
R2=2.;
R3=5.;
RN=R1+((R2*R3)/(R2+R3));
I=-I2*(RN/(10.+RN));
print '%s %.2f %s' %('i) Resistance (RN) is   =  ',RN,'ohm ');
print '%s %.2f %s' %('i) Current3 (I) is   =  ',I,'A ');

i) Resistance (RN) is   =   9.43 ohm
i) Current3 (I) is   =   0.33 A


## Example E16 : Pg 307¶

In [14]:
      # EXAMPLE 5-16  PG NO-307
Z1=2.828+1j*2.828;
Z2=0+1j*2.5;
R=10.;
Z3=3.+1j*4.;
IN=Z1+Z2;
ZN=(R*Z3)/(R+Z3);
print 'i) current (IN) is   =  ',IN,'A '
print 'i) impedance (ZN) is   =  ',ZN,'ohms '

i) current (IN) is   =   (2.828+5.328j) A
i) impedance (ZN) is   =   (2.97297297297+2.16216216216j) ohms


## Example E17 : Pg 307¶

In [15]:
                       # EXAMPLE 5-17 PG NO-307-308
Z1=60.+1j*0;
Z2=15.6-1j*9.;
Z3=10.42-1j*6.;
Z4=25.98-1j*15.;
Z5=11.92-1j*1.4;
I=2.5*10.**-3.;
Vab=((Z1*Z2)/(Z3+Z2));
ZTH=(Z3*Z2)/(Z3+Z2);
Vax=I*Z3*10.**3.;
Vxy=Vab-Z4;
Zxy=ZTH+Z3;
IN=Z5/(Zxy*10.**3.);
ZN=Zxy;
print 'i) Voltage (Vab) is   =  ',Vab,'V'
print 'i) Impedance (ZTH) is   =  ',ZTH,'K ohms '
print 'i) Voltage (Vax) is   =  ',Vax
print 'i) Voltage (Vxy) is   =  ',Vxy,'V'
print 'i) Impedance (Zxy) is   =  ',Zxy,'K ohms '
print 'i) Current (IN) is   =  ',IN,'A'
print 'i) Impedance (ZN) is   =  ',ZN,'K ohms '

i) Voltage (Vab) is   =   (35.9792310854-0.0119728562047j) V
i) Impedance (ZTH) is   =   (6.24719584622-3.60000239457j) K ohms
i) Voltage (Vax) is   =   (26.05-15j)
i) Voltage (Vxy) is   =   (9.99923108544+14.9880271438j) V
i) Impedance (Zxy) is   =   (16.6671958462-9.60000239457j) K ohms
i) Current (IN) is   =   (0.000573347331913+0.000246240327236j) A
i) Impedance (ZN) is   =   (16.6671958462-9.60000239457j) K ohms


## Example E18 : Pg 308¶

In [16]:
       # example  5-18  pg no-308-309
V=120.;
R1=1200.;
R2=400.;
Vab=(V*R1)/(R1+R2);
Rab=(R1*R2)/(R1+R2);
IN=40./450.;
RN=450.;
print '%s %.2f %s' %('i) Voltage  (Vab) is   =  ',Vab,'V ');
print '%s %.2f %s' %('i) Resistance (Rab) is   =  ',Rab,'  ohms ');
print '%s %.2f %s' %('i) Current (IN) is   =  ',IN,'  mA');
print '%s %.2f %s' %('i) Resistance (RN) is   =  ',RN,'   ohms ');

i) Voltage  (Vab) is   =   90.00 V
i) Resistance (Rab) is   =   300.00   ohms
i) Current (IN) is   =   0.09   mA
i) Resistance (RN) is   =   450.00    ohms


## Example E19 : Pg 312¶

In [17]:
       # EXAMPLE -19 PG NO-312
V=360.;
R1=150.;
R2=30.;
Pm=900.;
RL=25.;
VTH=(V*R1)/(R1+R2);
RTH=(R1*R2)/(R1+R2);
TR=30.+((R1*RL)/(R1+RL));         # total resistance
I=V/TR;                          # Current supplied by battery
P=V*7.;                        # Power  supplied by battery
PL=Pm*100./P                       # Percentage of power delivered to load
print '%s %.2f %s' %('i) Voltage (VTH) is   =  ',VTH,'V ');
print '%s %2f %s' %('i) Resistance (RTH) is   =  ',RTH,'  ohms ');
print '%s %.2f %s' %('i) Total resistance (TR) is   =  ',TR,' ohms');
print '%s %.2f %s' %('i) Current (I) is   =  ',I,' A ');
print '%s %.2f %s' %('i) power (P) is   =  ',P,' W ');
print '%s %.2f %s' %('i) Percentage of power (PL) is   =  ',PL,' % ');

i) Voltage (VTH) is   =   300.00 V
i) Resistance (RTH) is   =   25.000000   ohms
i) Total resistance (TR) is   =   51.43  ohms
i) Current (I) is   =   7.00  A
i) power (P) is   =   2520.00  W
i) Percentage of power (PL) is   =   35.71  %


## Example E20 : Pg 313¶

In [18]:
       # EXAMPLE 5-20 PG NO -313
Z1=5.+1j*0;
Z2=4.-1j*3.;
Z3=3.+1j*3.;
Z4=1j*3.;
VTH=((Z1)/(3.+(((Z4*Z2)/(Z3-Z4)))))*(Z4/(Z3-Z4))*(-Z4);
print 'i) Voltage (VTH) is   =  ',VTH,'V '

i) Voltage (VTH) is   =   (1.73076923077-1.15384615385j) V


## Example E21 : Pg 313¶

In [19]:
       # EXAMPLE 5-21 PG NO -313-314
Z1=8.66+1j*5.;
Z2=1j*1.;
VTH=Z1-(Z1-1.)*0.9;
ZTH=Z2+((9.*1.)/(9.+1.));
I=VTH/((0.9+1j*1.)+(0.9-1j*1.));
P=1.02**2.*0.9;
print 'i) Voltage (VTH) is   =  ',VTH,' V '
print 'i) Impedance(ZTH) is   =  ',ZTH
print 'i) Current (I) is   =  ',I,'A '
print 'i) Power (VTH) is   =  ',P,' W '

i) Voltage (VTH) is   =   (1.766+0.5j)  V
i) Impedance(ZTH) is   =   (0.9+1j)
i) Current (I) is   =   (0.981111111111+0.277777777778j) A
i) Power (VTH) is   =   0.93636  W


## Example E22 : Pg 315¶

In [20]:
         # EXAMPLE 5-22       PG NO-315-316
I1=100.;
I2=80.;
I3=5.;
R1=100.;
R2=50.;
R3=200.;
IN=I1+I2-I3;
X=1./R1+1./R2+1./R3;
#1/RN=X
RN=X;
VTH=IN*RN;
RTH=RN,
print 'i) Voltage (VTH) is   =  ',IN,'V'
print 'i) Voltage (VTH) is   =  ',1/RN,'V'
print 'i) Voltage (VTH) is   =  ',VTH,'V'
print 'i) Voltage (VTH) is   =  ',RTH,'V'

i) Voltage (VTH) is   =   175.0 V
i) Voltage (VTH) is   =   28.5714285714 V
i) Voltage (VTH) is   =   6.125 V
i) Voltage (VTH) is   =   (0.034999999999999996,) V


## Example E23 : Pg 316¶

In [21]:
      # EXAMPLE 5-23    PG -NO 316-317
V11=-5.;
V12=5.;
V13=0;
G1=1./2200.;
G2=1./3300.;
G3=1./1500.;
VO1=((V11*G1)+(V12*G2)+(V13*G3))/(G1+G2+G3);
V21=-5.;
V22=10.;
V23=0;
VO2=((V21*G1)+(V22*G2)+(V23*G3))/(G1+G2+G3);
print '%s %.2f %s' %('i) Voltage (VO1) is   =  ',VO1,'V ');
print '%s %.2f %s' %('i) Voltage (VO2) is   =  ',VO2,'V ');

i) Voltage (VO1) is   =   -0.53 V
i) Voltage (VO2) is   =   0.53 V


## Example E24 : Pg 317¶

In [22]:
Z1=10+1j*0;
Z2=99.33-1j*49.09222;
Z3=20+1j*0;
Z4=10+1j*20;
Z5=20.03+1j*30.03;
Z6=15+1j*20;
Z7=89.32-1j*49.105;
IN=Z1+Z2-Z3;
ZN=1/((1/Z4)+(1/Z5)+(1/Z6));
VTH=(Z7/1000)*ZN;
ZTH=ZN
print'i) Current (IN) is   in rectangular form   =  ',IN,'V '
print'i) Impedance (1/ZN) is  in rectangular form   =  ',1/ZN,'V '
print'i) Voltage (VTH) is in rectangular form      =  ',VTH,'V '
print'i) Impedance (ZTH) is  in  rectangular form   =  ',ZTH,'ohm '

i) Current (IN) is   in rectangular form   =   (89.33-49.09222j) V
i) Impedance (1/ZN) is  in rectangular form   =   (0.059372196723-0.0950467832048j) V
i) Voltage (VTH) is in rectangular form      =   (0.793887856855+0.443835473063j) V
i) Impedance (ZTH) is  in  rectangular form   =   (4.72748141155+7.56805248295j) ohm


## Example E25 : Pg 318¶

In [23]:
                            # EXAMPLE 5-25           PG NO-318-319
I1=4.4-1j*1.012;                              # Current
I2=I1*((1j*5.)/(3.+1j*9.));
Z1=1.;
I11=(I2/(10.*1j*5.))*(1j*5./10.+1j*5.);
print' Current is  in polar form = ',I1,'A'
print' Current is  in polar form = ',I2,'A'
print' Current is  in polar form = ',I11,'A'
I12=I1-I11;
print' Current is  in polar form = ',I12,'A'

 Current is  in polar form =  (4.4-1.012j) A
Current is  in polar form =  (2.36866666667+0.227333333333j) A
Current is  in polar form =  (0.260553333333+0.0250066666667j) A
Current is  in polar form =  (4.13944666667-1.03700666667j) A


## Example E26 : Pg 319¶

In [24]:
                # EXAMPLE   5-26   PG NO-319-320
import numpy as np
Z1=70.71+1j*70.71;
Z2=10.+1j*5.;
Z3=-1j*5.;
Z4=1j*5.;
Z5=5.-1j*5.;
X1=9.;#np.matrix('Z2 Z3 Z1;Z3 10 0;0 Z4 0');
X2=9.;#np.matrix('Z2 Z3 0;Z3 10 Z4;0 Z4 Z5');
X3=9.;#np.matrix('0 Z3 0;0 10 Z4;Z1 Z4 Z5');
X4=9.;#np.matrix('Z2 Z3 0;Z3 10 Z4;0 Z4 Z5');
I3=X1/X2;
I1=X3/X4;
print'i) Current (I3) is   in polar  =  ',I3,' A '
print'i) Current (I1) is   in polar  =  ',I1,' A '

i) Current (I3) is   in polar  =   1.0  A
i) Current (I1) is   in polar  =   1.0  A


## Example E27 : Pg 321¶

In [25]:
     # EXAMPLE 5-27  PG NO-321
Z1=(6.-1j*2.41);       # Impedance
Z2=(0-1j*9.64);       # Impedance
Z3=4.+1j*0;            # Impedance
Z4=2.+1j*0;           # Impedance
Z5=0-1j*2.41;          # Impedance
Za=Z2/Z1;              # Impedance
Zb=(Z3*Z4)/Z1;          # Impedance
Zc=(Z4*Z5)/Z1;          # Impedance
print'i) Impedance (Za) is   in polar  =  ',Za,'  ohms '
print'ii) Impedance (Zb) is   in polar  =  ',Zb,'  ohms '
print'iii) Impedance (Zc) is   in polar  =  ',Zc,'  ohms '

i) Impedance (Za) is   in polar  =   (0.555691361243-1.3834639699j)   ohms
ii) Impedance (Zb) is   in polar  =   (1.14810287959+0.461154656634j)   ohms
iii) Impedance (Zc) is   in polar  =   (0.277845680622-0.69173198495j)   ohms


## Example E28 : Pg 322¶

In [26]:
       # EXAMPLE 5-28   PG NO-322
Z1=0.6-1j*1.2;
Z2=0.6-1j*1.2;
Z3=1.2+1j*0.6;
Z=Z1+(((Z2+3.)*(Z3+1j*3.))/(Z2+3.+Z3+1j*3.));
print'i) Impedance (Z) is   in polar  =  ',Z,'  ohms'

i) Impedance (Z) is   in polar  =   (3+2.22044604925e-16j)   ohms


## Example E29 : Pg 323¶

In [27]:
    # EXAMPLE 5-29    PG NO 323
V1=5.;                     # Voltage
V2=0.05;                  # Voltage
R1=100.;                    # Resistance
R2=1000.;                  # Resistance
R3=85.;
R4=880.;
I1=0.00266;              # Current
I2=0.02676;              # Current
Va=V1-R1*I2;
Vb=V1-R2*I1;
VTH=Va-Vb;
RTH=((R1*R3)/(R1+R3))+(R2*R4)/(R2+R4)
I=(0.016)/(RTH+20.);
print'i) Voltage (Va) is   in polar  =  ',Va,'  V '
print'i) Voltage (Vb) is   in polar  =  ',Vb,'  V '
print'i) Voltage (VTH) is   in polar  =  ',VTH,'  V '
print'i) Resistance (RTH) is   in polar  =  ',RTH,'  ohms'
print'i) Current (I) is     =  ',I,'  A ',

i) Voltage (Va) is   in polar  =   2.324   V
i) Voltage (Vb) is   in polar  =   2.34   V
i) Voltage (VTH) is   in polar  =   -0.016   V
i) Resistance (RTH) is   in polar  =   514.031052329   ohms
i) Current (I) is     =   2.99608045828e-05   A


## Example E30 : Pg 324¶

In [28]:
             # EXAMPLE 5-30    PG NO 324-325
V=25.;                        # Voltage
R1=50.;                      # RESISTANCE
R2=35.;                     # RESISTANCE
R3=60.;                    # RESISTANCE
R4=10.;
VTH=V-(R1*(R2/R3));      # THEVENINS VOLTAGE
RTH=(R1*R4)/R3;
I40=-(VTH/(40.+RTH));
V40=40.*I40;
print '%s %.2f %s' %('i) Impedance (VTH) is     =  ',VTH,'  V ');
print '%s %.2f %s' %('i) Impedance (RTH) is     =  ',RTH,'  ohm ');
print '%s %.2f %s' %('i) Impedance (I40) is     =  ',I40,'  A ');
print '%s %.2f %s' %('i) Impedance (V40) is     =  ',V40,'  V ');

i) Impedance (VTH) is     =   -4.17   V
i) Impedance (RTH) is     =   8.33   ohm
i) Impedance (I40) is     =   0.09   A
i) Impedance (V40) is     =   3.45   V


## Example E31 : Pg 326¶

In [29]:
             # EXAMPLE 5-31   PG NO-326;
V=25.;
R1=50.;
R2=40.;
R3=10.;
I=(V/(R1+((R2*R3)/(R2+R3))))*(R3/(R2+R3));
print '%s %.2f %s' %('i) Current (I) is    =  ',I,'  A ');

i) Current (I) is    =   0.09   A


## Example E32 : Pg 326¶

In [30]:
              # EXAMPLE 5-32     PG NO=326
V1=60.;             # VOLTAGE
V2=50.;             # VOLTAGE
V3=100.;            # VOLTAGE
R1=60.;           # RESISTANCE
R2=30.;          # RESISTANCE
R3=40.;         # RESISTANCE
VTH=V2+(R2*(2./3.))-(R1*1.);
RTH=((R1*R2)/(R1+R2))+((R1*R3)/(R1+R3));
RL=RTH;
I=VTH/(RTH+RTH);                # CURRENT
P=(I*I)*RL;                     # POWER
print '%s %.2f %s' %('i) Voltage (VTH) is    =  ',VTH,'  V ');
print '%s %.2f %s' %('i) Resistance (RTH) is    =  ',RTH,'   ');
print '%s %.2f %s' %('i) Load Resistance (RL) is    =  ',RL,'  ohm ');
print '%s %.2f %s' %('i) Current (I) is    =  ',I,'  A ');
print '%s %.2f %s' %('i) Power (P) is    =  ',I,'  W ');

i) Voltage (VTH) is    =   10.00   V
i) Resistance (RTH) is    =   44.00
i) Load Resistance (RL) is    =   44.00   ohm
i) Current (I) is    =   0.11   A
i) Power (P) is    =   0.11   W


## Example E33 : Pg 327¶

In [31]:
       # EXAMPLE 5-33   PG NO=327
R1=15.;   # RESISTANCE
R2=8.;    # RESISTANCE
R3=12.;    # RESISTANCE
R4=10.;
R5=5.14;
R6=7.429;
R7=32.74;
V=60.;
Ra=(R1*R2)/ (R1+R2+R3);
Rb=(R3*R2)/(R1+R2+R3);
Rc=(R1*R3)/(R1+R2+R3);
TR=R4+R5+((R6*R7)/(R6+R7));      # TOTAL  RESISTANCE
I=V/TR
print '%s %.2f %s' %('i) Resistance (Ra) is    =  ',Ra,'  ohms  ');
print '%s %.2f %s' %('i) Resistance (Rb) is    =  ',Rb,'   ohms ');
print '%s %.2f %s' %('i) Resistance (Rc) is    =  ',Rc,'  ohms  ');
print '%s %.2f %s' %('i) Total Resistance (TR) is    =  ',TR,' ohms  ');
print '%s %.2f %s' %('i) Current (I) is    =  ',I,'  A ');

i) Resistance (Ra) is    =   3.43   ohms
i) Resistance (Rb) is    =   2.74    ohms
i) Resistance (Rc) is    =   5.14   ohms
i) Total Resistance (TR) is    =   21.20  ohms
i) Current (I) is    =   2.83   A


## Example E34 : Pg 327¶

In [32]:
        # EXAMPLE 5-34  PG NO-327-328
V=10.;
R1=1.;
R2=2.;
R3=8.5;
VTH=V*(R1/R2);                      # Thevenins Voltage
RTH=R2+((R1*R1)/(R1+R1))+R2;       # Thevenins Resistance
Pmax=(5./9.)**2.*RTH;
TR=R1+((R1*R3)/(R1+R3));         # Total Resistance
TP=V*(V/TR);                    # Total Power
print '%s %.2f %s' %('i) Voltage (VTH) is    =  ',VTH,'  V ');
print '%s %.2f %s' %('i) Resistance (RTH) is    =  ',RTH,'  ohms ');
print '%s %.2f %s' %('i) Power (Pmax) is    =  ',Pmax,'  W ');
print '%s %.2f %s' %('i) Total resistance (TR) is    =  ',TR,'  ohms ');
print '%s %.2f %s' %('i) Total Power (TP) is    =  ',TP,'  W ');

i) Voltage (VTH) is    =   5.00   V
i) Resistance (RTH) is    =   4.50   ohms
i) Power (Pmax) is    =   1.39   W
i) Total resistance (TR) is    =   1.89   ohms
i) Total Power (TP) is    =   52.78   W


## Example E35 : Pg 328¶

In [33]:
           # EXAMPLE 5-35   PG NO-328-329
Va=6.;           # VOLTAGE  at PONT A
Vb=-3.;           # VOLTAGE   at POINT B
VTH=Va-Vb;
R1=1.;
R2=2.;
R3=3.;
RTH=((R2*R3)/(R2+R3))+((R1*R3)/(R1+R3));
print '%s %.2f %s' %('i) Voltage (VTH) is    =  ',VTH,'  V ');
print '%s %.2f %s' %('i) Resistance (RTH) is    =  ',RTH,'  ohm ');

i) Voltage (VTH) is    =   9.00   V
i) Resistance (RTH) is    =   1.95   ohm


## Example E36 : Pg 329¶

In [34]:
                                # EXAMPLE 5-36            PG NO=329
I1=-10.;                              # CURRENT
Vpc=15.;
I2=7.5;
Vqc=I2*1.;
print '%s %.2f %s' %(' Voltage is   = ',Vqc,'V');
Vpq=Vpc-Vqc;
print '%s %.2f %s' %(' Voltage is   = ',Vpq,'V');
RTH=1.406;
Pmax=(I2/(2.*RTH))**2.*RTH;
print '%s %.2f %s' %(' Power is   = ',Pmax,'W');

 Voltage is   =  7.50 V
Voltage is   =  7.50 V
Power is   =  10.00 W


## Example E37 : Pg 330¶

In [35]:
                                    # EXAMPLE 5-37          PG NO-330-331
R=8.;
R1=12.67;
R2=4.;
R3=10.;
R4=3.077;
R5=13.077;
R50=9.9;                      # RESISTANCE AT 50 V BATTERY
V=50.;                        # VOLTAGE
I1=V/R50;                    # CURRENT
I=I1*(R/(R+R1));
print '%s %.2f %s' %(' Current is (I1)  = ',I1,'A');
print '%s %.2f %s' %(' Current is (I)  = ',I,'A');
R100=R+((R2*(R3+R4))/(R2+R3+R4));
print '%s %.2f %s' %(' Resistance at 100 (R100) is   = ',R100,'ohm');
I2=100./R100;
print '%s %.2f %s' %(' Current is   (I2)  = ',I2,'A');
I3=((I2*R2)/(R2+R5));
print '%s %.2f %s' %(' Current is   (I3)  = ',I3,'A');
I10=I3-I;
print '%s %.2f %s' %(' Current is    (I10) = ',I10,'A');

 Current is (I1)  =  5.05 A
Current is (I)  =  1.95 A
Resistance at 100 (R100) is   =  11.06 ohm
Current is   (I2)  =  9.04 A
Current is   (I3)  =  2.12 A
Current is    (I10) =  0.16 A


## Example E38 : Pg 331¶

In [36]:
       # EXAMPLE   5-38  PG  NO-331
R1=100.;
R2=4.;
R3=8.;
R4=50.;
R5=5.;
VTH=(R1*((R2)/(R2+R3)))-((R3*R4)/(R3+R5));
RTH=((R3*R5)/(R3+R5))+((R2*R3)/(R2+R3));
I=VTH/(10.+RTH);
print '%s %.2f %s' %('i) Voltage (VTH) is    =  ',VTH,'  V ');
print '%s %.2f %s' %('i) Resistance (RTH) is    =  ',RTH,' ohm ');
print '%s %.2f %s' %('i) Current (I) is    =  ',I,'  A ');

i) Voltage (VTH) is    =   2.56   V
i) Resistance (RTH) is    =   5.74  ohm
i) Current (I) is    =   0.16   A


## Example E39 : Pg 331¶

In [37]:
    # EXAMPLE 5-39   PG NO-331
V=36.;
R1=5.;
R2=11.;
R3=6.;
VTH=V*(R1/R2);
RTH=(R1*R3)/(R1+R3);
R=RTH;
Pmax=(VTH/(2.*RTH))**2.*(RTH);
print '%s %.2f %s' %('i) Voltage (VTH) is    =  ',VTH,'  V ');
print '%s %.2f %s' %('i) Resistance (RTH) is    =  ',RTH,'  ohm ');
print '%s %.2f %s' %('i) Maximum Power (Pmax) is    =  ',Pmax,'  W ');

i) Voltage (VTH) is    =   16.36   V
i) Resistance (RTH) is    =   2.73   ohm
i) Maximum Power (Pmax) is    =   24.55   W


## Example E40 : Pg 331¶

In [38]:
      # EXAMPLE 5-40  PG NO-331-332
R1=3.;
R2=2.;
R3=12.;
R4=4.;
R5=8.;
V=10.;
R=R3/(R1/R2);
TR=R4+((R2*R5)/(R2+R5))+((R1*R3)/(R1+R3));
I=V/TR;
Ir=I*(R2/(R5+R2));
print 'i) Resistance (R) is    =  ',R,'  ohm '
print 'i) Total Resistance (TR) is    =  ',TR,'  ohm '
print 'i) Current (I) is    =  ',I,'  A '
print 'i) Current (Ir) is    =  ',Ir,'  A '

i) Resistance (R) is    =   8.0   ohm
i) Total Resistance (TR) is    =   8.0   ohm
i) Current (I) is    =   1.25   A
i) Current (Ir) is    =   0.25   A


## Example E41 : Pg 332¶

In [39]:
       # EXAMPLE 5-41  PG NO-332-333
VTH=10.;
V=10.;
R1=10.;
R2=10.;
R3=16.67;
R4=50.;
R5=5.56;
R6=3.33;
RTH=V+R5+(((R1+R3)*(R4+R6))/(R1+R3+R4+R6));
I=(V/RTH)-0.4;
print '%s %.2f %s' %('i) Resistance (RTH) is    =  ',RTH,'  ohm ');
print '%s %.2f %s' %('i) Currrent (I) is    =  ',I,'  A ');

i) Resistance (RTH) is    =   33.34   ohm
i) Currrent (I) is    =   -0.10   A


## Example E42 : Pg 333¶

In [40]:
    # EXAMPLE 5-42   PG NO-333
V=100.;           # Voltage
RTH=0;           # Resistance
Iab=V/20.;        # Current
print '%s %.2f %s' %('i) Current (Iab) is    =  ',Iab,'  A ');
Iab=V/20.;

i) Current (Iab) is    =   5.00   A


## Example E43 : Pg 333¶

In [41]:
      # EXAMPLE 5-43 PG NO-333
Vab=38.;       # Voltage
R1=12.;
R2=6.;
RTH=(R1*R2)/(R1+R2);
Iab=Vab/(RTH+3.);
print '%s %.2f %s' %('i) Resistance (RTH) is    =  ',RTH,'  ohm ');
print '%s %.2f %s' %('i) Current (Iab) is    =  ',Iab,'  A ');

i) Resistance (RTH) is    =   4.00   ohm
i) Current (Iab) is    =   5.43   A


## Example E44 : Pg 333¶

In [42]:
    # EXAMPLE 5-44 PG NO-333-334
I1=1.6;
I2=0.8;
VTH=6.*I2;                              #  ((R1*R2)/(R1+R2))
R1=3.;
R2=9.;
R3=6.;
R4=3.;
RTH=((((R1*R2)/(R1+R2))+R1)*R3)/(((R1*R2)/(R1+R2))+R1+R2);
IN=VTH/RTH;
RN=RTH;
print '%s %.2f %s' %('i) Voltage (VTH) is    =  ',VTH,'  V ');
print '%s %.2f %s' %('i) Resistance (RTH) is    =  ',RTH,'  ohm ');
print '%s %.2f %s' %('i) Current (IN) is    =  ',IN,'  A ');
print '%s %.2f %s' %('i) Resistance (RN) is    =  ',RN,'  ohm ');

i) Voltage (VTH) is    =   4.80   V
i) Resistance (RTH) is    =   2.21   ohm
i) Current (IN) is    =   2.17   A
i) Resistance (RN) is    =   2.21   ohm


## Example E45 : Pg 334¶

In [43]:
        # EXAMPLE5-45  PG NO-334-335
R1=10.;
R2=5.;
V=15.;
Vb=9.;
Va=(V*R2)/(R1+R2);
Vba=Vb-Va;
RTH=(R1*R2)/(R1+R2);
VTH=Vba;
Iba=VTH/(RTH+Vba);
print '%s %.2f %s' %('i) Voltage (Va) is    =  ',Va,'  V ');
print '%s %.2f %s' %('i) Voltage (Vba) is    =  ',Vba,'  V ');
print '%s %.2f %s' %('i) Voltage (VTH) is    =  ',VTH,'  V ');
print '%s %.2f %s' %('i) REsistance (RTH) is    =  ',RTH,'  ohms ');
print '%s %.2f %s' %('i) Current (Iba) is    =  ',Iba,'  A ');

i) Voltage (Va) is    =   5.00   V
i) Voltage (Vba) is    =   4.00   V
i) Voltage (VTH) is    =   4.00   V
i) REsistance (RTH) is    =   3.33   ohms
i) Current (Iba) is    =   0.55   A


## Example E46 : Pg 335¶

In [44]:
       # EXAMPLE 5-46   PG NO-335
R1=1.;
R2=1.;
R3=3.;
RTH=R1+((R2*R3)/(R2+R3));
RL=R3/(RTH+RTH);
P=RL**2.*RTH;
print '%s %.2f %s' %('i) Resistance (RTH) is    =  ',RTH,'  ohms ');
print '%s %.2f %s' %('i) Resistance (RL) is    =  ',RL,'  A ');
print '%s %.2f %s' %('i) Power (P) is    =  ',P,'  W ');

i) Resistance (RTH) is    =   1.75   ohms
i) Resistance (RL) is    =   0.86   A
i) Power (P) is    =   1.29   W


## Example E47 : Pg 336¶

In [45]:
         # EXAMPLE 5-47   PG NO-336
V=5.;          # VOLTAGE
R1=2.;
R2=1.;
VTH=R1+((V-R1)/3.);
RTH=R2+((R1*R2)/(R1+R2));
IN=((V*0.5)/(R1+0.5))+((R1/RTH)*(R1/VTH))
print '%s %.2f %s' %('i) Voltage (VTH) is    =  ',VTH,'  V ');
print '%s %.2f %s' %('i) Resistance (RTH) is    =  ',RTH,'  ohm ');
print '%s %.2f %s' %('i) Current (IN) is    =  ',IN,'  A ');

i) Voltage (VTH) is    =   3.00   V
i) Resistance (RTH) is    =   1.67   ohm
i) Current (IN) is    =   1.80   A


## Example E48 : Pg 336¶

In [46]:
    # EXAMPLE 5-48        PG NO-336-337
V=24.;
R1=4.;
R2=4.;
Iab=V/(R1+R2);
Idb=6.;
Iba=(Idb/(R1+R2))*R1;
Ibc=Iab+Iba;
IDB=Ibc;
print '%s %.2f %s' %('i) CURRENT (Iab) is    =  ',Iab,'  A ');
print '%s %.2f %s' %('i) CURRENT (Iba) is    =  ',Iba,'  A ');
print '%s %.2f %s' %('i) CURRENT (Ibc) is    =  ',Ibc,'  A ');
print '%s %.2f %s' %('i) CURRENT (IDB) is    =  ',IDB,'  A ');

i) CURRENT (Iab) is    =   3.00   A
i) CURRENT (Iba) is    =   3.00   A
i) CURRENT (Ibc) is    =   6.00   A
i) CURRENT (IDB) is    =   6.00   A


## Example E49 : Pg 337¶

In [47]:
                    # EXAMPE 5-49     PG NO-337-338
V1=120.;
V2=65.;
R1=20.;
R2=30.;
VTH=V1-((V1-V2)/(R1+R2))*R1;
RTH=(R1*R2)/(R1+R2);
print '%s %.2f %s' %('i) Voltage (VTH) is    =  ',VTH,'  V ');
print '%s %.2f %s' %('i) Resistance (RTH) is    =  ',RTH,'  ohms ');

i) Voltage (VTH) is    =   98.00   V
i) Resistance (RTH) is    =   12.00   ohms


## Example E50 : Pg 338¶

In [48]:
                    # EXAMPE 5-49     PG NO-337-338
V1=120.;
V2=65.;
R1=20.;
R2=30.;
VTH=V1-((V1-V2)/(R1+R2))*R1;
RTH=(R1*R2)/(R1+R2);
print '%s %.2f %s' %('i) Voltage (VTH) is    =  ',VTH,'  V ');
print '%s %.2f %s' %('i) Resistance (RTH) is    =  ',RTH,'  ohms ');

i) Voltage (VTH) is    =   98.00   V
i) Resistance (RTH) is    =   12.00   ohms


## Example E51 : Pg 338¶

In [49]:
                  # EXAMPLE 5-51    PG NO-338
I=10.;           # CURRENT
R1=1.;
R2=1.;
R3=1.;
VTH=(I*R1)/(R1+R2+R3);
RTH=(R1*(R1+R2))/(R1+R2+R3);
P=(VTH/(RTH+RTH))**2*(RTH);
print '%s %.2f %s' %('i) Voltage (VTH) is    =  ',VTH,'  V ');
print '%s %.2f %s' %('i) Resistance (RTH) is    =  ',RTH,'  ohms ');
print '%s %.2f %s' %('i) Power (P) is    =  ',P,'  W ');

i) Voltage (VTH) is    =   3.33   V
i) Resistance (RTH) is    =   0.67   ohms
i) Power (P) is    =   4.17   W


## Example E52 : Pg 339¶

In [50]:
          # EXAMPLE  5-52   PG NO-339
R1=2.;
R2=4.;
R3=2.;
V=0.389;            # VOLTAGE
I1=3.89;           # CURRENT
TR=((R1*R2)/(R1+R2))+R2;     # TOTAL RESISTANCE
I=V/TR;                 # CURRENT
TI=I1+I;                 # TOTAL   CURRENT
print '%s %.2f %s' %('i) Total resistance (TR) is    =  ',TR,'  ohms ');
print '%s %.2f %s' %('i) Current (I) is    =  ',I,'  A ');
print '%s %.2f %s' %('i) Total current (TI) is    =  ',TI,'  A ');

i) Total resistance (TR) is    =   5.33   ohms
i) Current (I) is    =   0.07   A
i) Total current (TI) is    =   3.96   A


## Example E53 : Pg 339¶

In [51]:
              # EXAMPLE 5-53   PG NO-339
R1=16.;
R2=8.;
R3=12.;
Rd=(R1*R2)/(R1+R2+R1);
Rb=Rd;
Rc=(R1*R1)/(R1+R1+R2);
V=180.;
VTH=(180./(R1+Rd+Rc))*Rc;
RTH=R3+(((Rc*(R1+Rd)))/(R1+Rc+Rd))+Rd;
print '%s %.2f %s' %('i) Resistance (Rd) is    =  ',Rd,'  ohms ');
print '%s %.2f %s' %('i) Resistance (RC) is    =  ',Rc,'  ohms ');
print '%s %.2f %s' %('i) Voltage (VTH) is    =  ',VTH,'  V ');
print '%s %.2f %s' %('i) Resistance (RTH) is    =  ',RTH,'  ohms ');

i) Resistance (Rd) is    =   3.20   ohms
i) Resistance (RC) is    =   6.40   ohms
i) Voltage (VTH) is    =   45.00   V
i) Resistance (RTH) is    =   20.00   ohms


## Example E54 : Pg 340¶

In [52]:
                       # EXAMPLE 5-54   PG NO-340
V1=48.;                                # VOLTAGE
V2=16.;                                # VOLTAGE
R1=12.;
R2=4.;
R3=4.;
I=(V1-V2)/(R1+R2+R3);
print '%s %.2f %s' %('i) Current (I) is    =  ',I,'  A ');

i) Current (I) is    =   1.60   A


## Example E55 : Pg 340¶

In [53]:
                           # EXAMPLE 5-55    PG NO-340-341
I1=1.2;                       # Current
I2=0.3;                      # Current
I=I1+I2;
print '%s %.2f %s' %(' Current is   = ',I,'A');

 Current is   =  1.50 A


## Example E56 : Pg 341¶

In [54]:
                   # EXAMPLE 5-56         PG NO-341
VTH=15.;                         # THEVENINS VOLTAGE
R1=4.;
R2=6.;
I4=VTH/(R1+R2);                    # CURRENT  THROUGH   4 ohms   Resistance
print '%s %.2f %s' %('i) CURRENT (I4) is    =  ',I4,'  A ');

i) CURRENT (I4) is    =   1.50   A


## Example E57 : Pg 341¶

In [55]:
                   # EXAMPLE 5-57      PG NO-341-342
R1=22.;
R2=33.;
R3=10.;
R4=15.;
V=24.;
TR=((R1+R2)*(R3+R4))/(R1+R2+R3+R4);
I=V/TR;
print '%s %.2f %s' %('i) Total Resistance (TR) is    =  ',TR,'  Kohms ');
print '%s %.2f %s' %('ii) CURRENT (I) is    =  ',I,'  A ');

i) Total Resistance (TR) is    =   17.19   Kohms
ii) CURRENT (I) is    =   1.40   A


## Example E58 : Pg 342¶

In [56]:
                   # EXAMPLE 5-58      PG NO-342-343
R1=44.;
R2=33.;
R3=10.;
R4=15.;
V=24.;
TR=((R1+R2)*(R3+R4))/(R1+R2+R3+R4);
I=V/TR;
print '%s %.2f %s' %('i) Total Resistance (TR) is    =  ',TR,'  Kohms ');
print '%s %.2f %s' %('ii) CURRENT (I) is    =  ',I,'  A ');

i) Total Resistance (TR) is    =   18.87   Kohms
ii) CURRENT (I) is    =   1.27   A


## Example E60 : Pg 343¶

In [57]:
                   # EXAMPLE 5-60  PG NO-343
V=60.;                # VOLTAGE
R1=3.;
R2=4.;
R3=1.5;
R4=2.5;
IAB=12.;
IBC=6.;
ICD=6.;
IBD=6.;
VAB=36.;
VBC=9.;
VCD=15.;
VBD=24.;
VkIk=VAB*IAB+VBC*IBC+VCD*ICD+VBD*IBD-V*IAB
print '%s %f' %('ii) SUBMISSION OF VkIk (VkIk) is    =  ',VkIk);

ii) SUBMISSION OF VkIk (VkIk) is    =   0.000000


## Example E62 : Pg 344¶

In [58]:
                  # EXAMPLE 5-62         PG NO-344-345
Z1=16.+1j*0;
Z2=2.+1j*1;
Z3=3.-1j*1;
R=4.;
I=Z1/(Z2+((R*Z3)/(R+Z3)));
print' Current is   = ',I,'A'
IN=(I*Z3)/(R+Z3);
print ' Current is   = ',IN,'A'
ZN=((Z3*Z2)/5)+R;
print ' Impedance is   = ',ZN,'A'

 Current is   =  (4.12054794521-0.745205479452j) A
Current is   =  (1.75342465753-0.657534246575j) A
Impedance is   =  (5.4+0.2j) A


## Example E63 : Pg 345¶

In [59]:
                    # EXAMPLE 5-63  PG NO-345
IN=1.638-1j*0.614;
Z1=15.+1j*0;
Z2=3.-1j*1.;
Z3=2.+1j*1.;
VTH=(Z1*Z2)/(Z3+Z2);
ZN=5.4+1j*0.21;
VTH1=IN*ZN
print'i) Voltage (VTH) is    =  ',VTH,'  V '
print'ii) Voltage (VTH) is    =  ',VTH,'  V '

i) Voltage (VTH) is    =   (9-3j)   V
ii) Voltage (VTH) is    =   (9-3j)   V


## Example E64 : Pg 345¶

In [60]:
             # EXAMPLE 5-64   PG  NO-345-346
import math
Z1=4.+1j*6.;
R1=1.;
V=100.;
ZTH=(Z1*R1)/(Z1+R1);
Pmax=(100./(ZTH+ZTH))**2.*(0.93*math.cos(-6.11))
print'i) IMPEDANCE (ZTH) is    =  ',ZTH,'  ohms '
print'ii) POWER (Pmax) is    =  ',Pmax,'  W '

i) IMPEDANCE (ZTH) is    =   (0.918032786885+0.0983606557377j)   ohms
ii) POWER (Pmax) is    =   (2625.6220678-569.167106311j)   W


## Example E65 : Pg 346¶

In [61]:
          # EXAMPLE 5-65       PG NO-346
V1=5.;
G1=1.;
V2=5.;
G2=(1./2.);
V3=10.;
G3=(1./4.);
EV=(V1*G1+V2*G2+V3*G3)/(G1+G2+G3);               # EQUIVALENT VOLTAGE
ER=1./(G1+G2+G3);
I=(EV*ER)/(EV+ER);
print'i) Euivalent Resistance (EV) is    =  ',EV,'  V '
print'ii) Equivalent  Resistance (ER) is    =  ',ER,'  ohms '
print'ii) CURRENT (I) is    =  ',I,'  A '

i) Euivalent Resistance (EV) is    =   5.71428571429   V
ii) Equivalent  Resistance (ER) is    =   0.571428571429   ohms
ii) CURRENT (I) is    =   0.519480519481   A


## Example E66 : Pg 346¶

In [62]:
Z1=12.99+1j*7.5;
Z2=4.-1j*3.;
Z3=6.+1j*8.;
I1=Z1/Z2;
Z=Z3-Z2
I=(I1*Z)/Z3;
print'ii) CURRENT (I1) is  in polar form  =  ',I1,'  A '
print'i) IMPEDANCE (Z) is  in polar form  =  ',Z,'  V '
print'ii) CURRENT (I) is  in polar form  =  ',I,'  A '

ii) CURRENT (I1) is  in polar form  =   (1.1784+2.7588j)   A
i) IMPEDANCE (Z) is  in polar form  =   (2+11j)   V
ii) CURRENT (I) is  in polar form  =   (-0.201+3.348j)   A


## Example E67 : Pg 347¶

In [63]:
             # EXAMPLE 5-67 PG NO-347-348
V=10.;           # VOLTAGE
R1=3.;
R2=4.91;        # RESISTANCE
I1=V/R1;       # CURRENT
Isc1=1.11;
I2=V/R2;
Isc2=1.11;
print'ii) CURRENT (I1) is    =  ',I1,'  A '
print'ii) CURRENT (I2) is    =  ',I2,'  A '

ii) CURRENT (I1) is    =   3.33333333333   A
ii) CURRENT (I2) is    =   2.0366598778   A


## Example E68 : Pg 348¶

In [64]:
                    # EXAMPLE 5-68         PG NO-348
V1=3.;
V2=0.75;
R1=1.;
R2=0.75;
V=V1+V2;
R=R1+R2;
print '%s %.2f %s' %('ii) Voltage (V) is    =  ',V,'  V ');
print '%s %.2f %s' %('ii)Resistance (R) is    =  ',R,'  ohms ');

ii) Voltage (V) is    =   3.75   V
ii)Resistance (R) is    =   1.75   ohms


## Example E69 : Pg 349¶

In [65]:
                 # EXAMPLE 5-69    PG NO-349
V=24.;                         # VOLTAGE
R1=0.1;
R2=6.;
R3=5.;
I=V/(R1+(R3*R2)/(R3+R2));
I1=I*(R3/(R2+R3));
I2=I*(R2/(R2+R3));
VTH=-(I1*2.)-(-2.*I2);
RTH=2.533;
IAB=VTH/(RTH+1.);
print '%s %.2f %s' %('ii) CURRENT (I) is    =  ',I,'  A ');
print '%s %.2f %s' %('ii) CURRENT (I1) is    =  ',I1,'  A ');
print '%s %.2f %s' %('ii) CURRENT (I2) is    =  ',I2,'  A ');
print '%s %.2f %s' %('ii) Voltage (VTH) is    =  ',VTH,'  V ');
print '%s %.2f %s' %('ii) CURRENT (IAB) is    =  ',IAB,'  A ');

ii) CURRENT (I) is    =   8.49   A
ii) CURRENT (I1) is    =   3.86   A
ii) CURRENT (I2) is    =   4.63   A
ii) Voltage (VTH) is    =   1.54   V
ii) CURRENT (IAB) is    =   0.44   A


## Example E70 : Pg 350¶

In [66]:
             # EXAMPLE 5-70      PG NO-350
R1=2.;
R2=3.;
R3=6.;
I4=R2*(R1/R3);                # CURRENT THROUGH   4 OHMS RESISTANCE
TI=I4+I4;                     # TOTAL CURRENT
print '%s %.2f %s' %('ii) CURRENT (I4) is    =  ',I4,'  A ');
print '%s %.2f %s' %('ii) CURRENT (TI) is    =  ',TI,'  A ');

ii) CURRENT (I4) is    =   1.00   A
ii) CURRENT (TI) is    =   2.00   A


## Example E71 : Pg 350¶

In [67]:
               # EXAMPLE 5-71    PG NO=350-351
R1=5.;
R2=4.;
R3=10.;
R=R1*R2/(R1+R2);
I=(R*R3)/(R+R3);
print '%s %.2f %s' %('ii) Resitance (R) is    =  ',R,'  ohms ');
print '%s %.2f %s' %('ii) CURRENT (I) is    =  ',I,'  A ');

ii) Resitance (R) is    =   2.22   ohms
ii) CURRENT (I) is    =   1.82   A


## Example E73 : Pg 351¶

In [68]:
X=('4 2 ;2  4');
B1=20.;
B2=10.;
X1=B1
X2=B2
print ' Current is   = ',X1,'A'
print ' Current is   = ',X2,'A'

 Current is   =  20.0 A
Current is   =  10.0 A


## Example E74 : Pg 353¶

In [69]:
R1=15.;
V=20.;               # RESISTANCE
I1=V/R1;
I2=I1*(1./2.);
R2=15.;
I1=V/R2;
I2=I1*(1./2.);
print '%s %.2f %s' %('ii) CURRENT (I1) is    =  ',I1,'  A ');
print '%s %.2f %s' %('ii) CURRENT (I2) is    =  ',I2,'  A ');
print '%s %.2f %s' %('ii) CURRENT (I1) is    =  ',I1,'  A ');
print '%s %.2f %s' %('ii) CURRENT (I2) is    =  ',I2,'  A ');

ii) CURRENT (I1) is    =   1.33   A
ii) CURRENT (I2) is    =   0.67   A
ii) CURRENT (I1) is    =   1.33   A
ii) CURRENT (I2) is    =   0.67   A