Chapter 19 Electrical machines and devices

Example 19.1 Page no 582

In [2]:
#Given
Ep=2300.0                    #v
Np=4000
Es=230                          #v

#Calculation
Ns=Np*(Es/Ep)

#Result
print"Number of turns is", Ns

Number of turns is 400.0

Example 19.2 Page no 582

In [4]:
#Given
Ep=220.0               #v
Es=110
E=550                     #watt

#Calculation
Ip=E/Ep

#Result
print"Current drawn is",Ip,"A"

Current drawn is 2.5 A

Example 19.3 Page no 582

In [6]:
#Gien
Ep=220.0                   #v
Es=22 
Z=220.0                    #ohm

#Calculation
Is=Es/Z
Ip=(Es/Ep)*Is

#Result
print"Current drawn is",Ip,"A"

Current drawn is 0.01 A

Example 19.4 Page no 582

In [12]:
#Given
Np=200.0
Ns=1000
Ep=200.0                   #v
E=10**4                     #W

#Calculation
Es=(Ns/Np)*Ep
Ip=E/Ep

#Result
print"(a) Output voltage is",Es,"V"
print"(b) Current is",Ip,"A"

(a) Output voltage is 1000.0 V
(b) Current is 50.0 A

Example 19.5 Page no 582

In [14]:
#Given
ep=120
Ip=1.85                   #A
Is=150*10**-3
n=0.95

#Calculation
es=n*ep*Ip/Is

#result
print"Voltage across the secondary is",es,"V"

Voltage across the secondary is 1406.0 V

Example 19.6 Page no 582

In [23]:
#Given
K=100
Np=100
e=1100                          #watt
ep=220.0

#Calculation
Ns=K*Np
ip=e/ep
es=K*ep
Is=ip*ep/es

#Result
print"(i) Number of turns is",Ns
print"(ii) Current is",ip,"A"
print"(iii) Voltage across the secondary is",es,"V"
print"(iv) Current in the secondaryis",Is,"A"

(i) Number of turns is 10000
(ii) Current is 5.0 A
(iii) Voltage across the secondary is 22000.0 V
(iv) Current in the secondaryis 0.05 A

Example 19.7 Page no 583

In [28]:
#Given
e=11000                     #W
es=220.0                     #V
es1=22000.0

#Calculation
Is=e/es
V=Is**2
Is1=e/es1
P=Is1**2

#Result
print"(i) Electrical energy dissipated when power is transmitted at es=220 V is",V,"R watt"
print"(ii)Electrical energy dissipated when power is transmitted at es=22000 V is",P,"R watt"
print"Transmission should be done at 22000 V"

(i) Electrical energy dissipated when power is transmitted at es=220 V is 2500.0 R watt
(ii)Electrical energy dissipated when power is transmitted at es=22000 V is 0.25 R watt
Transmission should be done at 22000 V

Example 19.8 Page no 583

In [50]:
#Given
B=0.1                   #T
n=2000
A=0.05                    #m**2
w=2100                       #r.p.m.

#calculation
import math
A1=2*math.pi*w/60.0
e0=w*B*A*A1
e=e0*math.sin(60*3.14/180.0)

#Result
print"Maximum e.m.f is", round(e0,0),"V"
print"Instantaneous e.m.f is",round(e,0),"V"

Maximum e.m.f is 2309.0 V
Instantaneous e.m.f is 1999.0 V

Example 19.9 Page no 583

In [56]:
#Given
n=100
A=3                   #m**2
w=60                     #rad/s
B=0.04
R=500.0

#Calculation
e0=n*B*A*w
I0=e0/R
P=e0*I0

#Result
print"(a) Maximum current is",I0,"A"
print"(b) Maximum power is",P,"W"

(a) Maximum current is 1.44 A
(b) Maximum power is 1036.8 W

Example 19.10 Page no 583

In [60]:
#Given
n=50
A=2.5                #m**2
w=60                       #rad/s
B=0.30
R=500.0

#Calculation
e0=n*B*A*w
I0=e0/R

#Result
print"(a) The maximum current is",I0,"A"
print"(b) Current is zero when coil is vertical and flux is maximum.On the other hand current is maximum when coil is horizontal,flux is minimum"
print"(c) Yes,there should be relative motion between the magnetic field and coil"

(a) The maximum current is 4.5 A
(b) Current is zero when coil is vertical and flux is maximum.On the other hand current is maximum when coil is horizontal,flux is minimum
(c) Yes,there should be relative motion between the magnetic field and coil

Example 19.11 Page no 583

In [65]:
#Given
E=220
e=200.0
P=5000

#Calculation
I=P/e
R=(E-e)/I

#Result
print"Armature current is",I,"A"
print"Motor resistance is",R,"ohm"

Armature current is 25.0 A
Motor resistance is 0.8 ohm

Example 19.12 Page no 583

In [78]:
#Given
R=8.5
E=200
I=5

#Calculation
e=E-(I*R)
Pi=E*I
Po=E*I-(I**2*R)
n=Po/Pi

#Result
print"Back e.m.f of the motor is", e,"V"
print"Power input is",Pi,"W"
print"Power output is",Po,"W"
print"Efficiencyis",n*10**2,"%"

Back e.m.f of the motor is 157.5 V
Power input is 1000 W
Power output is 787.5 W
Efficiencyis 78.75 %

Example 19.13 Page no 584

In [84]:
#Given
h=300
g=9.8                              #m/s**2
a=1000
A=100.0
n=60

#Calculation
m=A*a
E=m*g*h
P=E*n/A

#Result
print"Electric power is", P*10**-6,"MW"

Electric power is 176.4 MW

Example 19.14 Page no 584

In [94]:
#Given
L=30              #km
R=15                 #ohm
V=4000.0                    #V
P=8*10**5                  #W

#Calculation
Is=P/V
P1=Is**2*R
P2=P+P1
V1=R*Is
A=440-(V+V1)

#Result
print"(a) Line power loss is",P1*10**-3,"KW"
print"(b) Supplied power is",P2*10**-3,"KW"
print"(c) Step up transformer at the plane is",A

(a) Line power loss is 600.0 KW
(b) Supplied power is 1400.0 KW
(c) Step up transformer at the plane is -6560.0

Example 19.15 Page no 584

In [103]:
#Given
r=8*10**-2
n=20
w=50                         #rad/s
B=3*10**-2                   #T
A=64*math.pi*10**-4           #m**2
Eav=0
R=10                         #ohm

#Calculation
math.pi
e0=n*B*A*w
Pav=e0**2/(2*R)

#Result
print" Maximum e.m.f. is",round(e0,4),"V"
print" Average e.m.f. is zero"
print" Dissipated power is",round(Pav,4),"W"

 Maximum e.m.f. is 0.6032 V
 Average e.m.f. is zero
 Dissipated power is 0.0182 W