Chapter 36 , Basic Op-Amp Applications

Example 36.1 , Page Number 920

In [1]:
import math

#Variables

R1 = 1.0 * 10**3                #Resistance (in ohm)
R2 = 100.0 * 10**3              #Resistance (in ohm)
f1 = 159.0                      #Frequency (in Hertz)

#Calculation

C = 1.0/(2*math.pi*R2*f1)       #Capacitance (in Farad) 

#Result

print "Capacitance required in the circuit is ",round(C * 10**6,2)," micro-Farad."

Capacitance required in the circuit is  0.01  micro-Farad.

Example 36.2 , Page Number 921

In [2]:
import math

#Variables

R1 = 1.0 * 10**3                #Resistance (in ohm)
Rf = 51.0 * 10**3               #Resistance (in ohm)
Cf = 0.01 * 10**-6               #Capacitance (in Farad)

#Calculation

f = 1.0/(2*math.pi*Rf*Cf)       #Frequency (in Hertz)
fmin = 10* f                    #Minimum frequency required (in Hertz)     

#Result

print "The cut-off frequency of an integrator circuit is ",round(f)," Hz."
print "Minimum non-linear operating frequency is ",round(fmin)," Hz."

#Printing mistake about the value of Cf. It should be 0.01 micro-Farad.

The cut-off frequency of an integrator circuit is  312.0  Hz.
Minimum non-linear operating frequency is  3121.0  Hz.

Example 36.3 , Page Number 922

In [3]:
import math

#Variables

R1 = 10.0 * 10**3                     #Resistance (in ohm)
C1 = 0.01 * 10**-6                    #Capacitor (in Farad)

#Calculation

f2 = 1.0/(2*math.pi*R1*C1)            #Frequency (in Hertz)
fmax = f2 / 10.0                      #Maximum linear operating freqeuncy (in Hertz)

#Result

print "Cut-off frequency is ",round(f2,1)," Hz."
print "Maximum linear operating frequency is ",round(fmax)," Hz."

#Printing mistake in book about the value of f2.

Cut-off frequency is  1591.5  Hz.
Maximum linear operating frequency is  159.0  Hz.

Example 36.4 , Page Number 924

In [4]:
import math

#Variables

R1 = R2 = 51.0 * 10**3                    #Resistance (in ohm)
C1 = C2 = C =  0.001 * 10**-6             #Capacitance (in Farad) 

#Calculation

fo = 1.0/(2*math.pi*R1*C1)                #Resonant frequency (in Hertz)

#Result

print "The frequency of oscillations is ",round(fo,1)," Hz."

The frequency of oscillations is  3120.7  Hz.