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|
{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"CHAPTER 16 Frequency Effets"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 16-1, Page 567"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Example 16.1.py\n",
"#Amplifier has midband Av of 200, with cutoff frequencies f1=20 Hz, f2=20KHz. \n",
"#Find voltage gain for 5Hz & 200KHz input frequencies.\n",
"\n",
"#Variable declaration\n",
"Avm=200 #mid band voltage gain\n",
"f1=20 #cutoff frequency1 (Hz)\n",
"f2=20*10**3 #cutoff frequency2 (Hz)\n",
"fi1=5 #input frequency1(Hz)\n",
"fi2=200*10**3 #input frequency2(Hz)\n",
"\n",
"#Calculation\n",
"Av=0.707*Avm #voltage gain at either frequency\n",
"Av1=Avm/(1+(f1/fi1)**2)**0.5 #voltage gain for 5Hz\n",
"Av2=Avm/(1+(fi2/f2)**2)**0.5 #voltage gain for 200KHz\n",
"\n",
"#Result\n",
"print 'voltage gain for 200KHz = ',round(Av1,2)\n",
"print 'voltage gain for 5Hz = ',round(Av2,2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"voltage gain for 200KHz = 48.51\n",
"voltage gain for 5Hz = 19.9\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 16-2, Page 568"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Example 16.2.py\n",
"#In figure 16-4a OP-Amp with midband Av of 100,000. \n",
"#if f2=10Hz, then what does frequency response look like? \n",
"\n",
"#Variable declaration\n",
"Avm=100000 #mid band voltage gain\n",
"f2=10 #cutoff frequency (Hz)\n",
"\n",
"#Calculation\n",
"Av=0.707*Avm #voltage gain at cutoff frequency\n",
"\n",
"#Result\n",
"print 'voltage gain for 10Hz = ',Av"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"voltage gain for 10Hz = 70700.0\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 16-3, Page 569"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Example 16.3.py\n",
"#In preceding example , what is Av if input frequencies: 100Hz, 1KHz, 10KHZ, 100 KHz, 1MHz?\n",
"\n",
"import math # This will import math module\n",
"\n",
"#Variable declaration\n",
"Avm=100000 #mid band voltage gain\n",
"fc=10.0 #cutoff frequency (Hz)\n",
"fi1=100.0 #input frequency1(Hz)\n",
"fi2=1*10**3 #input frequency2(Hz)\n",
"fi3=10*10**3 #input frequency3(Hz)\n",
"fi4=100*10**3 #input frequency4(Hz)\n",
"fi5=1*10**6 #input frequency5(Hz)\n",
"\n",
"#Calculation\n",
"Av1=Avm/(1+(fi1/fc)**2)**0.5 #voltage gain for 100Hz\n",
"Av2=Avm/(1+(fi2/fc)**2)**0.5 #voltage gain for 1KHz\n",
"Av3=Avm/(1+(fi3/fc)**2)**0.5 #voltage gain for 10KHz\n",
"Av4=Avm/(1+(fi4/fc)**2)**0.5 #voltage gain for 100KHz\n",
"Av5=Avm/(1+(fi5/fc)**2)**0.5 #voltage gain for 1MHz\n",
"\n",
"#Result\n",
"print 'voltage gain for 100Hz = ',math.ceil(Av1)\n",
"print 'voltage gain for 1KHz = ',math.ceil(Av2)\n",
"print 'voltage gain for 10KHz = ',math.ceil(Av3)\n",
"print 'voltage gain for 100KHz = ',math.ceil(Av4)\n",
"print 'voltage gain for 1MHz = ',math.ceil(Av5)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"voltage gain for 100Hz = 9951.0\n",
"voltage gain for 1KHz = 1000.0\n",
"voltage gain for 10KHz = 100.0\n",
"voltage gain for 100KHz = 10.0\n",
"voltage gain for 1MHz = 1.0\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 16-4, Page 571"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Example 16.4.py\n",
"#Calculate power gain(dB) for following values Ap=1,2,4,8\n",
"\n",
"import math # This will import math module\n",
"\n",
"#Variable declaration\n",
"Ap1=1 #power gain1\n",
"Ap2=2 #power gain2\n",
"Ap3=4 #power gain3\n",
"Ap4=8 #power gain4\n",
"\n",
"#Calculation\n",
"Ap_db1=10*math.log10(Ap1) #decibel power gain(dB)\n",
"Ap_db2=10*math.log10(Ap2) #decibel power gain(dB)\n",
"Ap_db3=10*math.log10(Ap3) #decibel power gain(dB)\n",
"Ap_db4=10*math.log10(Ap4) #decibel power gain(dB)\n",
"\n",
"#Result\n",
"print 'decibel power gain Ap1(dB) = ',Ap_db1,'dB'\n",
"print 'decibel power gain Ap2(dB) = ',round(Ap_db2,2),'dB'\n",
"print 'decibel power gain Ap3(dB) = ',round(Ap_db3,2),'dB'\n",
"print 'decibel power gain Ap4(dB) = ',round(Ap_db4,2),'dB'\n",
"print 'Each time Ap increase by factor 2, decibel power gain increases by 3 dB'"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"decibel power gain Ap1(dB) = 0.0 dB\n",
"decibel power gain Ap2(dB) = 3.01 dB\n",
"decibel power gain Ap3(dB) = 6.02 dB\n",
"decibel power gain Ap4(dB) = 9.03 dB\n",
"Each time Ap increase by factor 2, decibel power gain increases by 3 dB\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 16-5, Page 571"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Example 16.5.py\n",
"#Calculate decibel power gain for following values Ap=1,0.5,0.25,0.125\n",
"\n",
"import math # This will import math module\n",
"\n",
"#Variable declaration\n",
"Ap1=1 #power gain1\n",
"Ap2=0.5 #power gain2\n",
"Ap3=0.25 #power gain3\n",
"Ap4=0.125 #power gain4\n",
"\n",
"#Calculation\n",
"Ap_db1=10*math.log10(Ap1) #decibel power gain(dB)\n",
"Ap_db2=10*math.log10(Ap2) #decibel power gain(dB)\n",
"Ap_db3=10*math.log10(Ap3) #decibel power gain(dB)\n",
"Ap_db4=10*math.log10(Ap4) #decibel power gain(dB)\n",
"\n",
"#Result\n",
"print 'decibel power gain Ap1(dB) = ',Ap_db1,'dB'\n",
"print 'decibel power gain Ap2(dB) = ',round(Ap_db2,2),'dB'\n",
"print 'decibel power gain Ap3(dB) = ',round(Ap_db3,2),'dB'\n",
"print 'decibel power gain Ap4(dB) = ',round(Ap_db4,2),'dB'\n",
"print 'Each time Ap decreases by factor 2, decibel power gain decreases by 3 dB'"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"decibel power gain Ap1(dB) = 0.0 dB\n",
"decibel power gain Ap2(dB) = -3.01 dB\n",
"decibel power gain Ap3(dB) = -6.02 dB\n",
"decibel power gain Ap4(dB) = -9.03 dB\n",
"Each time Ap decreases by factor 2, decibel power gain decreases by 3 dB\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 16-6, Page 572"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Example 16.6.py\n",
"#Calculate decibel power gain for following values Ap=1,10,100,1000\n",
"\n",
"import math # This will import math module\n",
"\n",
"#Variable declaration\n",
"Ap1=1 #power gain1\n",
"Ap2=10 #power gain2\n",
"Ap3=100 #power gain3\n",
"Ap4=1000 #power gain4\n",
"\n",
"#Calculation\n",
"Ap_db1=10*math.log10(Ap1) #decibel power gain(dB)\n",
"Ap_db2=10*math.log10(Ap2) #decibel power gain(dB)\n",
"Ap_db3=10*math.log10(Ap3) #decibel power gain(dB)\n",
"Ap_db4=10*math.log10(Ap4) #decibel power gain(dB)\n",
"\n",
"#Result\n",
"print 'decibel power gain Ap1(dB) = ',Ap_db1,'dB'\n",
"print 'decibel power gain Ap2(dB) = ',Ap_db2,'dB'\n",
"print 'decibel power gain Ap3(dB) = ',Ap_db3,'dB'\n",
"print 'decibel power gain Ap4(dB) = ',Ap_db4,'dB'\n",
"print 'Each time Ap increases by factor 10, decibel power gain increases by 10 dB'"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"decibel power gain Ap1(dB) = 0.0 dB\n",
"decibel power gain Ap2(dB) = 10.0 dB\n",
"decibel power gain Ap3(dB) = 20.0 dB\n",
"decibel power gain Ap4(dB) = 30.0 dB\n",
"Each time Ap increases by factor 10, decibel power gain increases by 10 dB\n"
]
}
],
"prompt_number": 19
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 16-7, Page 572"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Example 16.7.py\n",
"#Calculate decibel power gain for following values Ap=1,0.1,0.01,0.001\n",
"\n",
"import math # This will import math module\n",
"\n",
"#Variable declaration\n",
"Ap1=1 #power gain1\n",
"Ap2=0.1 #power gain2\n",
"Ap3=0.01 #power gain3\n",
"Ap4=0.001 #power gain4\n",
"\n",
"#Calculation\n",
"Ap_db1=10*math.log10(Ap1) #decibel power gain(dB)\n",
"Ap_db2=10*math.log10(Ap2) #decibel power gain(dB)\n",
"Ap_db3=10*math.log10(Ap3) #decibel power gain(dB)\n",
"Ap_db4=10*math.log10(Ap4) #decibel power gain(dB)\n",
"\n",
"#Result\n",
"print 'decibel power gain Ap1(dB) = ',Ap_db1,'dB'\n",
"print 'decibel power gain Ap2(dB) = ',Ap_db2,'dB'\n",
"print 'decibel power gain Ap3(dB) = ',Ap_db3,'dB'\n",
"print 'decibel power gain Ap4(dB) = ',Ap_db4,'dB'\n",
"print 'Each time Ap decreases by factor 10, decibel power gain decreases by 10 dB'"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"decibel power gain Ap1(dB) = 0.0 dB\n",
"decibel power gain Ap2(dB) = -10.0 dB\n",
"decibel power gain Ap3(dB) = -20.0 dB\n",
"decibel power gain Ap4(dB) = -30.0 dB\n",
"Each time Ap decreases by factor 10, decibel power gain decreases by 10 dB\n"
]
}
],
"prompt_number": 20
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 16-8, Page 575"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Example 16.8.py\n",
"#What is total voltage gain in decibels?\n",
"#find decibel voltage gain of each stage and total.\n",
"\n",
"import math # This will import math module\n",
"\n",
"#Variable declaration\n",
"Av1=100 #voltage gain1\n",
"Av2=200 #voltage gain2\n",
"\n",
"#Calculation\n",
"Av=Av1*Av2 #total voltage gain\n",
"Av_db=20*math.log10(Av) #decibel total voltage gain(dB)\n",
"Av_db1=20*math.log10(Av1) #decibel voltage gain(dB)\n",
"Av_db2=20*math.log10(Av2) #decibel voltage gain(dB)\n",
"Avt_db=Av_db1+Av_db2 #decibel total voltage gain(dB)\n",
"\n",
"#Result \n",
"print 'decibel total voltage gain Av(dB) = ',round(Av_db,2),'dB'\n",
"print 'decibel voltage gain Av1(dB) = ',Av_db1,'dB'\n",
"print 'decibel voltage gain Av2(dB) = ',round(Av_db2,2),'dB'\n",
"print 'so, again, decibel total voltage gain by addition of both: Avt(dB) = ',round(Avt_db,2),'dB'"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"decibel total voltage gain Av(dB) = 86.02 dB\n",
"decibel voltage gain Av1(dB) = 40.0 dB\n",
"decibel voltage gain Av2(dB) = 46.02 dB\n",
"so, again, decibel total voltage gain by addition of both: Avt(dB) = 86.02 dB\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 16-9, Page 577"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Example 16.9.py\n",
"#Impedance matched stages with R=50 Ohm. \n",
"#Find total decibel gain, total power gain & total voltage gain.\n",
"\n",
"import math # This will import math module\n",
"\n",
"#Variable declaration\n",
"Av_db1=23 #voltage gain1(dB)\n",
"Av_db2=36 #voltage gain2(dB)\n",
"Av_db3=31 #voltage gain3(dB)\n",
"\n",
"#Calculation\n",
"Avt_db=Av_db1+Av_db2+Av_db3 #decibel total voltage gain(dB)\n",
"Ap=10**(Avt_db/10) #power gain by taking antilog\n",
"Avt=10**(Avt_db/20.0) #total voltage gain by taking antilog\n",
"\n",
"#Result \n",
"print 'decibel total voltage gain Avt(dB) = ',Avt_db,'dB'\n",
"print 'power gain Ap = ',Ap\n",
"print 'total voltage gain Avt = ',math.ceil(Avt)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"decibel total voltage gain Avt(dB) = 90 dB\n",
"power gain Ap = 1000000000\n",
"total voltage gain Avt = 31623.0\n"
]
}
],
"prompt_number": 27
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 16-10, Page 577"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Example 16.10.py\n",
"#In preceding example, What is ordinary Av of each stage?\n",
"\n",
"#Variable declaration\n",
"Av_db1=23 #voltage gain1(dB)\n",
"Av_db2=36 #voltage gain2(dB)\n",
"Av_db3=31 #voltage gain3(dB)\n",
"\n",
"#Calculation\n",
"Av1=10**(Av_db1/20.0) #voltage gain of stage 1 by taking antilog\n",
"Av2=10**(Av_db2/20.0) #voltage gain of stage 2 by taking antilog\n",
"Av3=10**(Av_db3/20.0) #voltage gain of stage 3 by taking antilog\n",
"\n",
"#Result \n",
"print 'voltage gain of stage 1 : Av1 = ',round(Av1,2)\n",
"print 'voltage gain of stage 1 : Av2 = ',round(Av2,2)\n",
"print 'voltage gain of stage 1 : Av3 = ',round(Av3,2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"voltage gain of stage 1 : Av1 = 14.13\n",
"voltage gain of stage 1 : Av2 = 63.1\n",
"voltage gain of stage 1 : Av3 = 35.48\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 16-11, Page 579"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Example 16.11.py\n",
"#Output of an amplifier is 24 dBm. What is output power?\n",
"\n",
"#Variable declaration\n",
"Ap_dbm=24 #power gain(dBm)\n",
"\n",
"#Calculation\n",
"P=10**(Ap_dbm/10.0) #Output power(mW)\n",
"\n",
"#Result \n",
"print 'Output power P = ',round(P,2),'mW'"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Output power P = 251.19 mW\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 16-12, Page 580"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Example 16.12.py\n",
"#Output of an amplifier is -34 dBV. What is output voltage?\n",
"\n",
"import math # This will import math module\n",
"\n",
"#Variable declaration\n",
"Av_dbV=-34 #voltage gain(dBV)\n",
"\n",
"#Calculation\n",
"V=10**(Av_dbV/20.0) #Output voltage(V)\n",
"\n",
"#Result \n",
"print 'Output voltage V = ',math.ceil(V*1000),'mV'"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Output voltage V = 20.0 mV\n"
]
}
],
"prompt_number": 39
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 16-13, Page 583"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Example 16.13.py\n",
"#OP-Amp gives midband Av of 100,000. \n",
"#a cutoff f=10Hz, and roll off rate of 20 dB per decade. find ordinary voltage gain at 1MHz.\n",
"\n",
"#Variable declaration\n",
"Avm=100000 #mid band voltage gain\n",
"f2=10 #cutoff frequency (Hz)\n",
"\n",
"#Calculation\n",
"Av_db=20*math.log10(Avm) #decibel total voltage gain(dB)\n",
"\n",
"#Result\n",
"print 'voltage gain for 10Hz = ',Av_db1,'dB'\n",
"print 'At 1MHz, due to roll off factor of 20 dB, voltage gain reduce to 0 dB'"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"voltage gain for 10Hz = 20.0 dB\n",
"At 1MHz, due to roll off factor of 20 dB, voltage gain reduce to 0 dB\n"
]
}
],
"prompt_number": 48
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 16-14, Page 588"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Example 16.14.py\n",
"#Draw ideal bode plot for lag circuit of figure 16-18a.\n",
"import math\n",
"\n",
"#Variable declaration\n",
"R=5*10**3 #resistance(Ohm)\n",
"C=100*10**-12 #Capacitance (F)\n",
"\n",
"#Calculation\n",
"f2=(2*math.pi*R*C)**-1 #cutoff frequency (Hz)\n",
"\n",
"#Result\n",
"print 'cutoff frequency f2 = ',round((f2/1000),2),'KHz'\n",
"print 'After f2, response rolls off at rate of 20 dB/decade'"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"cutoff frequency f2 = 318.31 KHz\n",
"After f2, response rolls off at rate of 20 dB/decade\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 16-15, Page 589"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Example 16.15.py\n",
"#dc amplifier stage has a midband Av of 100. \n",
"#If RTH facing bypass capacitor is 2KOhm. What is the ideal bode plot?\n",
"import math\n",
"\n",
"#Variable declaration\n",
"R=2*10**3 #resistance(Ohm)\n",
"C=500*10**-12 #Capacitance (F)\n",
"\n",
"#Calculation\n",
"f2=(2*math.pi*R*C)**-1 #cutoff frequency (Hz)\n",
"\n",
"#Result\n",
"print 'cutoff frequency f2 = ',round((f2/1000),2),'KHz'\n",
"print 'After f2, response rolls off at rate of 20 dB/decade up to funity of 15.9 MHz'"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"cutoff frequency f2 = 159.15 KHz\n",
"After f2, response rolls off at rate of 20 dB/decade up to funity of 15.9 MHz\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 16-17, Page 592"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Example 16.17.py\n",
"#The amplifier of figure 16-22a has a Av of 100,000.\n",
"import math\n",
"\n",
"#Variable declaration\n",
"R=5.3*10**3 #resistance(Ohm)\n",
"C=30*10**-12 #Capacitance (F)\n",
"Av=100000 #voltage gain\n",
"\n",
"#Calculation\n",
"Cout_M=C #input Miller Capacitance (F)\n",
"Cin_M=Av*C #input Miller Capacitance (F)\n",
"f2=(2*math.pi*R*Cin_M)**-1 #cutoff frequency (Hz)\n",
"\n",
"#Result\n",
"print 'cutoff frequency f2 = ',round(f2,3),'Hz'"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"cutoff frequency f2 = 10.01 Hz\n"
]
}
],
"prompt_number": 15
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 16-18, Page 595"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Example 16.18.py\n",
"#What is upper cutoff frequency for circuit shown in figure 16-24a?\n",
"\n",
"#Variable declaration\n",
"TR=1*10**-6 #rise time(s)\n",
"\n",
"#Calculation\n",
"f2=0.35/TR #cutoff frequency (Hz)\n",
"\n",
"#Result\n",
"print 'cutoff frequency f2 = ',f2/1000,'KHz'"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"cutoff frequency f2 = 350.0 KHz\n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 16-19, Page 597"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Example 16.19.py\n",
"#calculate low-cutoff frequency for each coupling and by-pass capacitor. \n",
"import math\n",
"\n",
"#Variable declaration\n",
"re=22.7 #from past dc calculation (example:9-5)(Ohm)\n",
"VCC=10 #collector voltage(V)\n",
"RC=3.6 #Collector resistance (KOhm)\n",
"RE=1 #Emitter resistance (KOhm)\n",
"R1=10 #Base resistance1 (KOhm)\n",
"R2=2.2 #Base resistance2 (KOhm)\n",
"VBE=0.7 #Base-emitter voltage drop(V)\n",
"RL=10 #Load resistance2 (KOhm)\n",
"B=150 #current gain\n",
"RG=0.6 #source resistance(KOhm)\n",
"C1=0.47*10**-6 #input capacitance(F)\n",
"C3=2.2*10**-6 #output capacitance(F)\n",
"C2=10*10**-6 #emitter capacitance(F)\n",
"\n",
"#Calculation\n",
"Rinb=B*re/1000 #Rin(base) (KOhm)\n",
"Ri=RG+((R1**-1)+(Rinb**-1)+(R2**-1))**-1 #thevenin resistance facing i/p capacitor\n",
"f1i=((2*math.pi*Ri*C1)**-1)/1000 #input cutoff frequency (Hz)\n",
"Ro=RC+RL #thevenin resistance facing o/p capacitor\n",
"f1o=((2*math.pi*Ro*C3)**-1)/1000 #output cutoff frequency (Hz)\n",
"Zout=(((RE**-1)+((re/1000)**-1))**-1)+((((R1**-1)+(R2**-1)+(RG**-1))**-1)/B) #thevenin resistance facing emitter-bypass capacitor\n",
"f1z=((2*math.pi*Zout*C2)**-1)/1000 #cutoff frequency for bypass circuit (Hz)\n",
"\n",
"\n",
"#Result\n",
"print 'input cutoff frequency f1 = ',round(f1i,2),'Hz'\n",
"print 'output cutoff frequency f1 = ',round(f1o,2),'Hz'\n",
"print 'cutoff frequency for bypass circuit f1 = ',round(f1z,2),'Hz'"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"input cutoff frequency f1 = 190.36 Hz\n",
"output cutoff frequency f1 = 5.32 Hz\n",
"cutoff frequency for bypass circuit f1 = 631.63 Hz\n"
]
}
],
"prompt_number": 14
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 16-20, Page 602"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Example 16.20.py\n",
"#calculate high cutoff frequency for base bypass and collector bypass circuit. \n",
"#B=150 & Cstray=10pF.\n",
"\n",
"import math # This will import math module\n",
"\n",
"#Variable declaration\n",
"re=22.7 #from past dc calculation (example:9-5)(Ohm)\n",
"VCC=10 #collector voltage(V)\n",
"RC=3.6 #Collector resistance (KOhm)\n",
"RE=1 #Emitter resistance (KOhm)\n",
"R11=10 #Base resistance1 (KOhm)\n",
"R12=2.2 #Base resistance2 (KOhm)\n",
"RL=10 #Load resistance2 (KOhm)\n",
"B=150 #current gain\n",
"RG=0.6 #source resistance(KOhm)\n",
"fT=300*10**6 #current gain bandwidth product(Hz)\n",
"CC1=2.1*10**-12 #Cc' capacitance(F)\n",
"Cs=10*10**-12 #stray capacitance(F)\n",
"\n",
"\n",
"#Calculation\n",
"Rinb=B*re/1000 #Rin(base) (KOhm)\n",
"Ce1=((2*math.pi*re*fT)**-1) #capacitance Ce'(F)\n",
"rc=RC*RL/(RC+RL) #collector resistance(KOhm) \n",
"rg=((R11**-1)+(RG**-1)+(R12**-1))**-1 #source resistance (Ohm)\n",
"Av=math.ceil(1000*rc/re) #voltage gain\n",
"Cin_M=CC1*(Av+1) #input Miller capacitance(F)\n",
"C1=Ce1+Cin_M #base bypass capacitance(F)\n",
"R1=int(1000*rg*Rinb/(rg+Rinb)) #resistance facing this capacitance(Ohm) \n",
"f2=((2*math.pi*R1*C1)**-1) #base bypass circuit cutoff frequency (Hz)\n",
"Cout_M=CC1*((Av+1)/Av) #output Miller capacitance(F)\n",
"C2=Cout_M+Cs #output bypass capacitance(F)\n",
"R2=1000*RC*RL/(RC+RL) #resistance facing this capacitance(Ohm)\n",
"f21=((2*math.pi*R2*C2)**-1) #collector bypass circuit cutoff frequency (Hz)\n",
"\n",
"#Result\n",
"print 'base bypass circuit cutoff frequency f2 = ',round((f2/10**6),2),'MHz'\n",
"print 'collector bypass circuit cutoff frequency f21 = ',round((f21/10**6),2),'MHz'"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"base bypass circuit cutoff frequency f2 = 1.48 MHz\n",
"collector bypass circuit cutoff frequency f21 = 4.96 MHz\n"
]
}
],
"prompt_number": 12
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 16-21, Page 605"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Example 16.21.py\n",
"#Determine input-coupling & output coupling circuit low-frequency cutoff points.\n",
"import math\n",
"\n",
"#Variable declaration\n",
"re=22.7 #from past dc calculation (example:9-5)(Ohm)\n",
"RC=3.6 #Collector resistance (KOhm)\n",
"R1=2*10**6 #Base resistance1 (Ohm)\n",
"R2=1*10**6 #Base resistance2 (Ohm)\n",
"RD=150 #drain resistance(Ohm) \n",
"RL=1*10**3 #Load resistance2 (Ohm)\n",
"RG=0.6*10**3 #source resistance(Ohm)\n",
"Cin=0.1*10**-6 #Cin capacitance(F)\n",
"Cout=10*10**-6 #Cout capacitance(F)\n",
"\n",
"\n",
"#Calculation\n",
"Rthi=RG+((R1**-1)+(R2**-1))**-1 #Thevenin resistance facing input coupling capacitor resistance (Ohm)\n",
"f1=((2*math.pi*Rthi*Cin)**-1) #base bypass circuit cutoff frequency (Hz)\n",
"Rtho=RD+RL #Thevenin resistance facing output coupling capacitor resistance (Ohm)\n",
"f2=((2*math.pi*Rtho*Cout)**-1) #base bypass circuit cutoff frequency (Hz)\n",
"\n",
"#Result\n",
"print 'base bypass circuit cutoff frequency f1 = ',round(f1,2),'Hz'\n",
"print 'collector bypass circuit cutoff frequency f2 = ',round(f2,2),'Hz'"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"base bypass circuit cutoff frequency f1 = 2.39 Hz\n",
"collector bypass circuit cutoff frequency f2 = 13.84 Hz\n"
]
}
],
"prompt_number": 13
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 16-22, Page 606"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Example 16.22.py\n",
"#In figure 16-32, capacitances are: Ciss=60 pF, Coss=25 pF, Crss=5 pF.\n",
"#gm=97mS then find high frequency cut off values for gate & drain circuits.\n",
"import math\n",
"\n",
"#Variable declaration\n",
"Ciss=60 #Capacitance Ciss (pF)\n",
"Coss=25 #Capacitance Coss (pF)\n",
"Crss=5 #Capacitance Crss (pF)\n",
"gm=93*10**-3 #gm (S)\n",
"R1=2*10**6 #resiatance 1(Ohm)\n",
"R2=1*10**6 #resiatance 2(Ohm)\n",
"RG=600 #resiatance(Ohm)\n",
"RD=150 #resiatance(Ohm)\n",
"RL=1*10**3 #load resiatance(Ohm)\n",
"\n",
"#Calculation\n",
"Cgd=Crss #Internal Capacitance Cgd (pF)\n",
"Cgs=Ciss-Crss #Internal Capacitance Cgs (pF)\n",
"Cds=Coss-Crss #Internal Capacitance Cds (pF)\n",
"rd=((RD**-1)+(RL**-1))**-1 #rd (Ohm)\n",
"Av=gm*rd #voltage gain\n",
"Cin_M=Cgd*(Av+1) #Cin(M) (pF)\n",
"C=Cgs+Cin_M #gate bypass capacitance (pF)\n",
"R=((R1**-1)+(R2**-1)+(RG**-1))**-1 #resistance (Ohm)\n",
"f2=((2*math.pi*R*C*10**-12)**-1) #gate bypass cutoff frequency (Hz)\n",
"Cout_M=Cgd*((Av+1)/Av) #Cout(M) (pF)\n",
"C1=Cds+Cout_M #drain bypass capacitance(pF)\n",
"f21=((2*math.pi*rd*C1*10**-12)**-1) #drain bypass cutoff frequency (Hz)\n",
"\n",
"#Result\n",
"print 'Gate bypass cutoff frequency = ',round(f2*10**-6,2),'MHz'\n",
"print 'Drain bypass cutoff frequency = ',round(f21*10**-6,2),'MHz'"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Gate bypass cutoff frequency = 2.2 MHz\n",
"Drain bypass cutoff frequency = 48.02 MHz\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
|