Chapter No.4: Frequency Response

example 4.1, Page No. 170

In [4]:
#3dB Frequency
import math

#variable declaration
Omega_Z1=0.0           #in Radian/sec
Omega_Z2=10.0          #in Radian/sec
Omega_P1=100.0         #in Radian/sec
Omega_P2=25.0          #in Radian/sec

#calculations
WL=math.sqrt(Omega_P1**2+Omega_P2**2-2*Omega_Z1**2-2*Omega_Z2**2)      #in radian/sec

#Result
print("Approximate value of lower 3dB Frequency in radian/sec : %.1f"%WL)

Approximate value of lower 3dB Frequency in radian/sec : 102.1

example 4.2, Page No. 171

In [8]:
#Upper 3dB Frequency
import math
#variable declaration
Omega_P1=1.0*10**4                 #in Radian/sec
Omega_P2=2.0*10**4               #in Radian/sec
Omega_Z1=1.0*10**5                 #in Radian/sec

#calculations
omegaH=1/math.sqrt(1/Omega_P1**2+1/Omega_P2**2-2/Omega_Z1**2)     #in radian/sec

#result
print("Approximate value of lower 3dB Frequency in radian/sec :  %.0f "%(math.ceil(omegaH)))

Approximate value of lower 3dB Frequency in radian/sec :  9017