Chapter 13, Elementary theory of filters

Example 1, page 491

In [3]:
from __future__ import division
from math import pi
#  design loss pass constant K-filter
k=600 #ohms
fc=2500 #Hz
l=(k/(pi*fc)) #H
c=((1/(pi*fc*k))) #farad
print "Inductance = %0.1f mH" %(l*10**3)
print "Capacitance = %0.3f micro-F " %(c*10**6)

Inductance = 76.4 mH
Capacitance = 0.212 micro-F

Example 2, page 492

In [13]:
from math import pi
#T-type band pass filter
#given data :
K=500 # in ohm
f1=4 # in kHz
f2=1 # in kHz
L1=K/(pi*(f1-f2)) 
Ls=L1/2 
print "Inductance in each series arm, Ls = %0.2f mH " %Ls
C1=(f1-f2)*10**3/(4*pi*K*f1*f2) 
Cs=2*C1 
print "Capacity in each series arm, Cs = %0.2f micro-F" %Cs
L2=((f1-f2)*K*1e3)/(4*pi*f1*f2*1e6)*1e3 # mH
print "Shunt arm inductance, L2 = %0.1f mH" %L2
Csh=1*10**6/(pi*(f1-f2)*10**3*K) 
print "Capacity in shunt arm, Csh = %0.2f micro-F" % Csh

Inductance in each series arm, Ls = 26.53 mH 
Capacity in each series arm, Cs = 0.24 micro-F
Shunt arm inductance, L2 = 29.8 mH
Capacity in shunt arm, Csh = 0.21 micro-F