Chapter 28 , Tuned Amplifiers

Example 28.1 , Page Number 717

In [1]:
import math

#Variables

L = 150.0 * 10**-6          #Inductance (in Henry)
C = 100.0 * 10**-12         #Capacitance (in Farad)

#Calculation

fo = 0.159 / (L * C)**0.5   #Resonant frequency (in Hertz)

#Result

print "The resonant frequency is ",round(fo * 10**-6,1)," MHz."

The resonant frequency is  1.3  MHz.

Example 28.2 , Page Number 718

In [2]:
import math

#Variables

L = 100.0 * 10**-6          #Inductance (in Henry)
C = 100.0 * 10**-12         #Capacitance (in Farad)
R = 5.0                     #Resistance (in ohm)

#Calculation

fo = 0.159 / (L * C)**0.5   #Resonant frequency (in Hertz)
Zp = L / (C*R)              #Circuit impedance at resonance (in ohm)

#Result

print "Resonant frequency is ",fo * 10**-6," MHz.\nCircuit impedance at resonance is ",Zp * 10**-3," kilo-ohm."

Resonant frequency is  1.59  MHz.
Circuit impedance at resonance is  200.0  kilo-ohm.

Example 28.3 , Page Number 720

In [3]:
import math

#Variables

fo = 1.0 * 10**6           #Resonant frequency (in Hertz)
Qo = 100.0                 #Quality factor

#Calculation

BW = fo / Qo               #Bandwidth (in Hertz)

#Result

print "Bandwidth of the circuit is ",BW * 10**-3," kHz."

Bandwidth of the circuit is  10.0  kHz.

Example 28.4 , Page Number 720

In [4]:
import math

#Variables

fo = 1600.0 * 10**3        #Resonant frequency (in Hertz)
BW = 10.0 * 10**3          #Bandwidth (in Hertz)

#Calculation

Qo = fo / BW               #Quality factor

#Result

print "The Q-factor is ",Qo,"."

The Q-factor is  160.0 .

Example 28.5 , Page Number 720

In [5]:
import math

#Variables

fo = 2.0 * 10**6           #Resonant frequency (in Hertz)
BW = 50.0 * 10**3          #Bandwidth (in Hertz)

#Calculation

Qo = fo / BW               #Quality factor

#Result

print "The Q-factor is ",Qo,"."

The Q-factor is  40.0 .

Example 28.6 , Page Number 720

In [6]:
import math

#Variables

fo = 455.0 * 10**3         #Resonant frequency (in Hertz)
BW = 10.0 * 10**3          #Bandwidth (in Hertz)
XL = 1255.0                #Inductive reactance (in ohm)

#Calculation

Qo = fo / BW               #Quality factor
R = XL / Qo                #Resistance (in ohm)
L = XL / (2*math.pi*fo)    #Inductance (in Henry)
C = 1 / (XL*2*math.pi*fo)  #Capacitance (in Farad)
Zp = L / (C*R)             #Circuit impedance (in ohm)

#Result

print "The value of circuit impedance at resonance is ",round(Zp * 10**-3)," kilo-ohm."

The value of circuit impedance at resonance is  57.0  kilo-ohm.