Chapter 38 ELECTROMAGNETIC OSCILLATIONS

Example 38.1 Current

In [1]:
from __future__ import division
import math
V_o=50 #in volts
C=1*10**-6 #in farad
L=10*10**-3
i_m=V_o*(math.sqrt(C/L))
print("Max current in amps ",i_m)
Max current in amps  0.5

Example 38.2 Angular frequency

In [2]:
from __future__ import division
import math
L=10*(10**-3) #in henry
C=(10)**-6 #in farad
w=math.sqrt(1/(L*C))
print("Angular frequency in radians/sec=",w)
Angular frequency in radians/sec= 10000.0

Example 38.3 Angular frequency and time

In [3]:
from __future__ import division
L=10*(10**-3) #in henry
C=10**-6 #in farad
R=0.1 #in ohm
w=math.sqrt(1/(L*C))
print("Angular frequency in radians/sec=",w)
t=(2*L*math.log(2))/R
print("Time in sec= %.5f"%t)
Angular frequency in radians/sec= 10000.0
Time in sec= 0.13863

Example 38.5 Magnetic field

In [4]:
import math
m_0=(4*math.pi*10**-7) #in weber
e_0=(8.9*10**-12)
R=5*10**-2 #meters
dEbydT=10**12
B=(0.5*m_0*e_0*R*dEbydT)
print("Magnetic field in weber/m**2= %.7f"%B)
Magnetic field in weber/m**2= 0.0000003

Example 38.6 Calculation of current

In [5]:
import math
m_0=(4*math.pi*10**-7) #in weber
e_0=(8.9*10**-12)
R=5*10**-2 #meters
dEbydT=10**12
i_d=(e_0*math.pi*R*R*dEbydT)
print("Current in amp= %.7f"%i_d)
Current in amp= 0.0699004