# Chapter13 - Cathode Ray Oscilloscope¶

## PageNumber : 578 example 1¶

In [1]:
from __future__ import division
quanti=3*10**17#
voltag=10*10**3##volt
distan=40*10**-3##metre per minute
w=quanti*1.6*10**-19*voltag
w=w/60##per second

print "power to electrons   =   ",round((w),2),"watts"

power to electrons   =    8.0 watts


## PageNumber : 578 example 2¶

In [2]:
from math import sqrt
sensit=5## per centimetre
q=50*10**-6##second per centimetre
petope=5.4##centimetre
horiax=8.4##centimetre
voltag=petope*sensit#
voltag=voltag/((2)*sqrt(2))#
#one cycle
horiax=(horiax/2)*q#
freque=1/horiax#
print "input voltage   =   ",round((voltag),2),"volt"
print "frequency   =   ",round((freque),2),"hertz"

print "vm1coswt vm2sinwt squaring and adding gives ellipse"

input voltage   =    9.55 volt
frequency   =    4761.9 hertz
vm1coswt vm2sinwt squaring and adding gives ellipse


## PageNumber : 579 example 3¶

In [3]:
from math import sqrt
voltag=1000##volt
#(1) velocity
vx=sqrt(2*1.6*10**-19*(voltag)/(9.11*10**-31))#
print "velocity x   =   %0.3e"%vx,"metre per second"
vox=1*10**5##metre per second intial velocity
vx=sqrt((vox)+((2*1.6*10**-19*voltag)/(2.01*1.66*10**-27)))#

print "velocity x   =   %0.2e"%vx,"metre per second"

velocity x   =   1.874e+07 metre per second
velocity x   =   3.10e+05 metre per second


## PageNumber : 580 example 4¶

In [4]:
from math import sqrt
voltag=2000##volt
d=15##centimetre
d1=3##centimetre
r1=((d**2+d1**2)/(6))*10**-2##centimetre to metre
vox=sqrt(2*1.6*10**-19*(voltag)/(9.11*10**-31))#
b=vox/((1.6*10**-19*r1)/(9.11*10**-31))#

print "transverse magnetic field   =   %0.2e"%b,"weber per metre square"

transverse magnetic field   =   3.87e-04 weber per metre square


## PageNumber : 581 example 5¶

In [5]:
from math import sqrt
voltag=2000##volt
d=2*10**-2##metre
#(1) frequency
vx=sqrt(2*1.6*10**-19*(voltag)/(9.11*10**-31))#
durati=d/vx#
freque=1/(2*durati)#
print "max frequency  = %0.2e"%freque,"hertz"
#(2)
durati=60*durati#
print "duration electron between the plates   =   %0.2e"%durati,"second"#correction in book

max frequency  = 6.63e+08 hertz
duration electron between the plates   =   4.53e-08 second


## PageNumber : 582 example 7¶

In [6]:
from math import sqrt
voltag=800##volt

q=1.6*10**-19##coulomb
m=9.11*10**-31##kilogram
vox=sqrt(2*q*voltag/m)#

print "max velocity =  %0.2e"%vox,"metre per second"

max velocity =  1.68e+07 metre per second


## PageNumber : 582 example 8¶

In [7]:
from math import sqrt
voltag=2000##volt
d=1.5*10**-2##centimetre
d1=5*10**-3##metre
distan=50*10**-2##metre
#(1) velocity
vox=sqrt(2*1.6*10**-19*(voltag)/(9.11*10**-31))#
#(2) sensitivity
defsen=distan*d/(2*d1*voltag)#
#deflection factor
g=1/defsen#
print "velocity   =   %0.2e"%vox,"metre per second"
print "sensitivity   =   %0.2e"%defsen,"metre per volt"

print "deflection factor   =   ",round((g),2),"volt per metre"#correction in the book

velocity   =   2.65e+07 metre per second
sensitivity   =   3.75e-04 metre per volt
deflection factor   =    2666.67 volt per metre


## PageNumber : 582 example 9¶

In [8]:
from math import sqrt
voltag=2000##volt
d=50*10**-3##metre
#(1) velocity
vox=sqrt(2*1.6*10**-19*(voltag)/(9.11*10**-31))#
print "velocity   =   %0.2e"%vox,"metre per second"
#(2) fc
fc=vox/(4*d)#

print "fc   =   %0.2e"%fc,"hertz"

velocity   =   2.65e+07 metre per second
fc   =   1.33e+08 hertz


## PageNumber : 582 example 10¶

In [9]:
from math import asin, degrees
y=2.5##divisions
y1=1.25##divisions
y=y1/y#
w=degrees(asin(y))

print "phase angle   =   ",round((w),2),"degre"

phase angle   =    30.0 degre