{
"metadata": {
"name": "",
"signature": "sha256:f9ba841d51e943eb842cd7b286030046166ba358e1dbe882cc0bc48bab2a1a28"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter3: Linear Application of IC Op-Amps"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.1:pg-95"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"R1=2.2#kohm\n",
"G=-100 #Voltage gain\n",
"Rf=-G*R1#kohm\n",
"print \"Value of Rf: \",Rf ,\"kohm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Value of Rf: 220.0 kohm\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.2:pg-95"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"Vin=2.5 #mV\n",
"R1=2 #kohm\n",
"Rf=200 #kohm\n",
"G=-Rf/R1 #Gain\n",
"Vo=G*Vin/1000.0 #V\n",
"print \"Output Voltage Vo=\",Vo \n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Output Voltage Vo= -0.25\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.3:pg-96"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"G=-10 #Gain\n",
"Ri=100 #kohm input resistance \n",
"R1=Ri #kohm\n",
"R2=-G*R1 #kohm\n",
"print R1,\"is the Value of R1 in kohm \" \n",
"print int(R2/1000),\"the Value of R2 in Mohm \" \n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"100 is the Value of R1 in kohm \n",
"1 the Value of R2 in Mohm \n"
]
}
],
"prompt_number": 9
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.4:pg-119"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"#Given\n",
"FT1=1 #Filter Transmission\n",
"FT2=0.99 #Filter Transmission\n",
"FT3=0.9 #Filter Transmission\n",
"FT4=0.1 #Filter Transmission\n",
"A1= int(-20*math.log10(FT1)) #dB\n",
"A2= round(-20*math.log10(FT2),3) #dB\n",
"A3= round(-20*math.log10(FT3),3) #dB\n",
"A4= -20*math.log10(FT4) #dB\n",
"print \"For filter transmission=1, Attenuation(dB)=\", A1 \n",
"print \"For filter transmission=0.99, Attenuation(dB)=\",A2 \n",
"print \"For filter transmission=0.9, Attenuation(dB)=\",A3\n",
"print \"For filter transmission=0.1, Attenuation(dB)=\",A4 \n",
" #Answer in the book is wrong for 0.99 filter transmission.\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"For filter transmission=1, Attenuation(dB)= 0\n",
"For filter transmission=0.99, Attenuation(dB)= 0.087\n",
"For filter transmission=0.9, Attenuation(dB)= 0.915\n",
"For filter transmission=0.1, Attenuation(dB)= 20.0\n"
]
}
],
"prompt_number": 24
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.5:pg-119"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"import math\n",
"fo=2 #kHz\n",
"Ap=10.0 #Band pass gain\n",
"C=0.1 #micro F(have to choose C, 0.01<C<1)\n",
"R2=round(1/(2*math.pi*fo*math.pow(10,3)*C*math.pow(10,-6)),1) #ohm\n",
"R1=R2/Ap #ohm\n",
"print \"Design values are :\"\n",
"print C,\"is the Capacitance(micro F)\"\n",
"print int(round(R1)),\"is the Resistance R1(ohm)\"\n",
"print round(R2/1000.0,1),\"is the Resistance R2(kohm)\"\n",
" #Answer in the book is wrong R2 should be .8kohm instead of 8kohm.\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Design values are :\n",
"0.1 is the Capacitance(micro F)\n",
"80 is the Resistance R1(ohm)\n",
"0.8 is the Resistance R2(kohm)\n"
]
}
],
"prompt_number": 100
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.6:pg-129"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"#Given\n",
"fo=1 #kHz\n",
"Ap=1.586 #Band pass gain\n",
"C=0.005 #micro F C1=C2=0.005(Assumed)\n",
"R=round(1/(2*math.pi*fo*math.pow(10,3)*C*math.pow(10,-6)),2) #ohm\n",
"Rf=10 #kohm(Assumed)\n",
"Ri=Rf/(Ap-1) #kohm\n",
"print \"Design values are :\" \n",
"print round(R/1000,2),\" is the Resistance in kohm, R1=R2=R\"\n",
"print round(Ri,2),\"is the Resistance Ri(kohm)\" \n",
"print Rf,\"is the Resistance Rf(kohm)\" \n",
"print C,\"is the Capacitance(micro F), C1=C2=C\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Design values are :\n",
"31.83 is the Resistance in kohm, R1=R2=R\n",
"17.06 is the Resistance Ri(kohm)\n",
"10 is the Resistance Rf(kohm)\n",
"0.005 is the Capacitance(micro F), C1=C2=C\n"
]
}
],
"prompt_number": 101
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.7:pg-134"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"#Given\n",
"fo=3 #kHz\n",
"Ap=4 #Band pass gain\n",
"alfa=1.414 #for butterworth filter\n",
"C1=0.01 #micro F(Assumed)\n",
"C2=round(math.pow(alfa,2)*C1/4.0,3) #micro F\n",
"R=round(1/(2*math.pi*fo*math.pow(10,3)*math.sqrt(C1*math.pow(10,-6)*C2*math.pow(10,-6))*1000.0),3) #kohm\n",
"Rf=2*R #kohm(Assumed)\n",
"print \"Design values are :\" \n",
"print C1,\"is the Capacitance C1(micro F)\" \n",
"print C2,\"is the Capacitance C2(micro F)\" \n",
"print R,\"is the Resistance R(kohm)\" \n",
"print \"For offset minimization, Resistance Rf(kohm)=\",Rf\n",
" #/For additional pass band gain\n",
"Ri=10.0 #kohm(Assumed)\n",
"Rf=(Ap-1)*Ri #kohm\n",
"print \"For additional band pass gain:\" \n",
"print Ri,\"is the Resistance Ri(kohm)\" \n",
"print Rf,\"is the Resistance Rf(kohm)\" \n",
" #Answer in the book is incorrect for C2.\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Design values are :\n",
"0.01 is the Capacitance C1(micro F)\n",
"0.005 is the Capacitance C2(micro F)\n",
"7.503 is the Resistance R(kohm)\n",
"For offset minimization, Resistance Rf(kohm)= 15.006\n",
"For additional band pass gain:\n",
"10.0 is the Resistance Ri(kohm)\n",
"30.0 is the Resistance Rf(kohm)\n"
]
}
],
"prompt_number": 49
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.8:pg-136"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"#Given \n",
"fo=2 #kHz\n",
"alfa=1.414 #for butterworth filter\n",
"Ap=3-alfa #band pass gain\n",
"RfBYRi=(Ap-1) #op-amp gain\n",
"C=0.05 #micro F(Assumed)\n",
"R=round(1/(2*math.pi*fo*10**3*C*10**-6)/1000,1) #kohm\n",
"#For offset minimization 2*R=Rf||Ri\n",
"Rf=round(2*R*RfBYRi+2*R,2) #kohm\n",
"Ri=round(Rf/RfBYRi,3) #kohm\n",
"print \"Design values are :\"\n",
"print C,\"is the Capacitance C(micro F)\" \n",
"print R,\"is the Resistance R(kohm)\" \n",
"print Rf,\"is the Resistance Rf(kohm)\"\n",
"print Ri,\"is the Resistance Ri(kohm)\" \n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Design values are :\n",
"0.05 is the Capacitance C(micro F)\n",
"1.6 is the Resistance R(kohm)\n",
"5.08 is the Resistance Rf(kohm)\n",
"8.669 is the Resistance Ri(kohm)\n"
]
}
],
"prompt_number": 102
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.9:pg-139"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 3.9 \n",
"import math\n",
"fo=1.2 #kHz\n",
"alfa=1.414 #for butterworth filter\n",
"Ap=3-alfa #band pass gain\n",
"RfBYRi=(Ap-1) #op-amp gain\n",
"C=0.03 #micro F(have to choose C, 0.01<C<1)\n",
"R=round(1/(2*math.pi*fo*10**3*C*10**-6)/1000,1) #kohm\n",
"#For offset minimization 2*R=Rf||Ri\n",
"Rf=round(2*R*RfBYRi+2*R,2) #kohm\n",
"Ri=round(Rf/RfBYRi,1) #kohm\n",
"print \"Design values are :\" \n",
"print C,\"is the Capacitance(micro F)\" \n",
"print R,\"is the Resistance R(kohm)\" \n",
"print Rf,\"is the Resistance Rf(kohm)\" \n",
"print Ri,\"is the Resistance Ri(kohm)\" \n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Design values are :\n",
"0.03 is the Capacitance(micro F)\n",
"4.4 is the Resistance R(kohm)\n",
"13.96 is the Resistance Rf(kohm)\n",
"23.8 is the Resistance Ri(kohm)\n"
]
}
],
"prompt_number": 64
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.10:pg-141"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
" #Ex 3.10\n",
"import math \n",
"fL=200 #Hz\n",
"fH=1*1000 #Hz\n",
"Ap=4 #band pass gain\n",
"BW=fH-fL #Hz\n",
"f0=math.sqrt(fH*fL) #Hz\n",
"fc=math.sqrt(fH*fL) #Hz\n",
"Q=fc/BW #Quality factor\n",
"print round(Q,2),\"is the Quality factor \" \n",
"print \"As Q<12 it is wide band filter \" \n",
"print fL,\"is the Design values for high pass section with Ap1=2 & fL(Hz) : \" \n",
"Ap1=2 #band pass gain for high pass section\n",
"C=0.033 #micro F(have to choose C, 0.01<C<1)\n",
"R=int(1/(2*math.pi*fL*C*10 **-6)/1000.0) #kohm\n",
"RfBYRi=(Ap-1) #op-amp gain\n",
"Rf=2*R #kohm\n",
"Ri=2*R #kohm\n",
"print C,\"is the Capacitance(micro F) \" \n",
"print R,\"is the Resistance R(kohm) \" \n",
"print Rf,\"=Resistance Rf(kohm) \" \n",
"print Ri,\"=Resistance Ri(kohm) \" \n",
"print fH,\"=Design values for low pass section with Ap2=2 & fH(Hz) : \" \n",
"Ap2=2 #band pass gain for low pass section\n",
"C=0.033 #micro F(have to choose C, 0.01<C<1)\n",
"k=fL/fH #scaling factor\n",
"Rdash=0.2*R #kohm\n",
"Ri=2*Rdash #kohm\n",
"Rf=Ri #kohm(for Ap2=2)\n",
"print C,\"=Capacitance(micro F) \" \n",
"print Rdash,\"=Resistance Rdash(kohm) \" \n",
"print Rf,\"=Resistance Rf(kohm) \" \n",
"print Ri,\"=Resistance Ri(kohm) \" \n",
"print \"For design purpose use rounded value 10 kohm for Rf & Ri \" \n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.56 is the Quality factor \n",
"As Q<12 it is wide band filter \n",
"200 is the Design values for high pass section with Ap1=2 & fL(Hz) : \n",
"0.033 is the Capacitance(micro F) \n",
"24 is the Resistance R(kohm) \n",
"48 =Resistance Rf(kohm) \n",
"48 =Resistance Ri(kohm) \n",
"1000 =Design values for low pass section with Ap2=2 & fH(Hz) : \n",
"0.033 =Capacitance(micro F) \n",
"4.8 =Resistance Rdash(kohm) \n",
"9.6 =Resistance Rf(kohm) \n",
"9.6 =Resistance Ri(kohm) \n",
"For design purpose use rounded value 10 kohm for Rf & Ri \n"
]
}
],
"prompt_number": 103
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.11:pg-144"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 3.11\n",
"import math \n",
"fL=200 #Hz\n",
"fH=1*1000 #Hz\n",
"Ap=4 #band pass gain\n",
"BW=fH-fL #Hz\n",
"f0=math.sqrt(fH*fL) #Hz\n",
"fc=math.sqrt(fH*fL) #Hz\n",
"Q=int(fc/BW) #Quality factor\n",
"print Q, \"=Quality factor\" \n",
"print \"As Q<10 it is wide band filter\" \n",
"print fH, \"=Design values for low pass section with Ap2=2 & fH(Hz) :\" \n",
"Ap2=2 #band pass gain for low pass section\n",
"C=0.03 #micro F(have to choose C, 0.01<C<1)\n",
"Rdash=round(1/(2*math.pi*fH*C*10**-6)/1000,1) #kohm\n",
"print C, \"=Capacitance(micro F)\" \n",
"print Rdash, \"=Resistance Rdash(kohm)\" \n",
"print \"Value of Resistance Rf & Ri can be choosen as 10 kohm for filter design.\" \n",
"print fL, \"=Design values for high pass section with Ap1=2 & fL(Hz) :\" \n",
"Ap1=2 #band pass gain for high pass section\n",
"C=0.05 #micro F(have to choose C, 0.01<C<1)\n",
"R=round(1/(2*math.pi*fL*C*10**-6)/1000,1) #kohm\n",
"RfBYRi=(Ap-1) #op-amp gain\n",
"print C, \"=Capacitance(micro F)\" \n",
"print R, \"=Resistance R(kohm)\" \n",
"print \"Value of Resistance Rf & Ri can be choosen as 10 kohm for filter design.\" \n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0 =Quality factor\n",
"As Q<10 it is wide band filter\n",
"1000 =Design values for low pass section with Ap2=2 & fH(Hz) :\n",
"0.03 =Capacitance(micro F)\n",
"5.3 =Resistance Rdash(kohm)\n",
"Value of Resistance Rf & Ri can be choosen as 10 kohm for filter design.\n",
"200 =Design values for high pass section with Ap1=2 & fL(Hz) :\n",
"0.05 =Capacitance(micro F)\n",
"15.9 =Resistance R(kohm)\n",
"Value of Resistance Rf & Ri can be choosen as 10 kohm for filter design.\n"
]
}
],
"prompt_number": 104
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.12:pg-150"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 3.12\n",
"import math\n",
"fo=1.2*1000 #Hz\n",
"Q=4 #Quality factor\n",
"Ap=10 #band pass gain\n",
"C=0.05 #micro F(have to choose C, 0.01<C<1)\n",
"R2=round(2*Q/(2*math.pi*fo*C*10** -6)/1000,2) #kohm\n",
"R1=round(R2/2/Ap,2) #kohm\n",
"R3=round(R1/(4*math.pi**2*R1*1000*R2*1000*(C*10** -6)** 2*fo** 2-1),2) #kohm\n",
"print \"Design values are :\" \n",
"print C,\"= Capacitance(micro F)\" \n",
"print R1,\"= Resistance R1(kohm)\" \n",
"print R2,\"= Resistance R2(kohm)\" \n",
"print R3*1000,\"= Resistance R3(ohm)\" \n",
"#Answer in the book is wrong for R3.\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Design values are :\n",
"0.05 = Capacitance(micro F)\n",
"1.06 = Resistance R1(kohm)\n",
"21.22 = Resistance R2(kohm)\n",
"480.0 = Resistance R3(ohm)\n"
]
}
],
"prompt_number": 105
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.13:pg-153"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 3.13\n",
"import math\n",
"fH=100 #Hz\n",
"fL=1*1000 #Hz\n",
"print \"This filter is a combination of -:\" \n",
"print \"High pass filter having fH=100 Hz\" \n",
"print \"Low pass filter having fL=1 kHz\" \n",
"print \"And a summing amplifier\" \n",
"#High pass filter\n",
"print \"Design values for high pass section :\" \n",
"C=0.05 #micro F(have to choose C, 0.01<C<1)\n",
"R=round(1/(2*math.pi *fL*C*10 **-6)/1000,2) #kohm\n",
"Ap=2 #assumed\n",
"#Rf=Ri #for gain=2\n",
"Rf=10 #kohm(assumed)\n",
"Ri=10 #kohm(assumed)\n",
"print C,\"= Capacitance(micro F)\" \n",
"print R,\"= Resistance R(kohm)\" \n",
"print \"Value of Resistance Rf & Ri can be choosen as 10 kohm for filter design.\" \n",
"#Low pass filter\n",
"print \"Design values for low pass section :\" \n",
"C=0.1 #micro F(have to choose C, 0.01<C<1)\n",
"Rdash=round(1/(2*math.pi *fH*C*10 **-6)/1000,2) #kohm\n",
"Ap=2 #assumed\n",
"#Rfdash=Ridash #for gain=2\n",
"Rf_dash=10 #kohm(assumed)\n",
"Ri_dash=10 #kohm(assumed)\n",
"print C,\"= Capacitance(micro F)\" \n",
"print Rdash,\"= Resistance Rdash(kohm)\" \n",
"print \"Value of Resistance Rf_dash & Ri_dash can be choosen as 10 kohm for filter design.\" \n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"This filter is a combination of -:\n",
"High pass filter having fH=100 Hz\n",
"Low pass filter having fL=1 kHz\n",
"And a summing amplifier\n",
"Design values for high pass section :\n",
"0.05 = Capacitance(micro F)\n",
"3.18 = Resistance R(kohm)\n",
"Value of Resistance Rf & Ri can be choosen as 10 kohm for filter design.\n",
"Design values for low pass section :\n",
"0.1 = Capacitance(micro F)\n",
"15.92 = Resistance Rdash(kohm)\n",
"Value of Resistance Rf_dash & Ri_dash can be choosen as 10 kohm for filter design.\n"
]
}
],
"prompt_number": 106
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.14:pg-156"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 3.14\n",
"import math\n",
"fN=50 #Hz\n",
"C=0.5 #micro F(have to choose C, 0.01<C<1)\n",
"R=round(1/(2*math.pi*fN*C*10 **-6)/1000,2) #kohm\n",
"print \"Design values are : \" \n",
"print C ,\"= Capacitance(micro F) \" \n",
"print R ,\"= Resistance R(kohm) \" \n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Design values are : \n",
"0.5 = Capacitance(micro F) \n",
"6.37 = Resistance R(kohm) \n"
]
}
],
"prompt_number": 107
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.15:pg-157"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 3.15\n",
"import math\n",
"fo=1*1000#Hz\n",
"fo_dash=1.5*1000#Hz\n",
"C=0.01#micro F(have to choose C, 0.01<C<1)\n",
"R=round(1/(2*math.pi*fo*C*10**-6)/1000,3)#kohm\n",
"K=1.2*1000/fo_dash#scaling factor\n",
"Rdash=round(K*R,3)#/kohm\n",
"print \"Design values are :\"\n",
"print C,\"= Capacitance(micro F)\"\n",
"print R,\"= Resistance R(kohm)\"\n",
"print Rdash,\"= Resistance Rdash(kohm)\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Design values are :\n",
"0.01 = Capacitance(micro F)\n",
"15.915 = Resistance R(kohm)\n",
"12.732 = Resistance Rdash(kohm)\n"
]
}
],
"prompt_number": 108
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.16:pg-179"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 3.16\n",
"Vf=0.0125 #V\n",
"Vo=0.5 #V\n",
"Beta=Vf/Vo #unitless\n",
"#A*Beta=1 for oscillation\n",
"A=1/Beta #gain\n",
"print A,\"= Minimum Gain\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"40.0 = Minimum Gain\n"
]
}
],
"prompt_number": 110
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.17:pg-179"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 3.17\n",
"import math\n",
"R=50#kohm(R1=R2=R3=R)\n",
"C=60#pF(C1=C2=C3=C)\n",
"f=round(1/(2*math.pi*R*1000*C*10**-12*math.sqrt(6)),2)#Hz\n",
"print round(f/1000,3),\"= Frequency of oscillation(kHz)\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"21.658 = Frequency of oscillation(kHz)\n"
]
}
],
"prompt_number": 112
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.18:pg-185"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 3.18\n",
"import math\n",
"f=2*1000#Hz\n",
"R=10#kohm(Assumed)(R1=R2=R)\n",
"C=1/(2*math.pi*R*1000*f)#F\n",
"print \"Value of resistance R1=R2 can be choosen as 10 kohm\"\n",
"print round(C*10**9,2),\"= Cpacitance(nF)\"\n",
"print \"Value of resistance R4 can be choosen as 10 kohm & R3=2*R4=20 kohm for Beta to be 1/3\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Value of resistance R1=R2 can be choosen as 10 kohm\n",
"7.96 = Cpacitance(nF)\n",
"Value of resistance R4 can be choosen as 10 kohm & R3=2*R4=20 kohm for Beta to be 1/3\n"
]
}
],
"prompt_number": 113
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.19:pg-185"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 3.19\n",
"import math \n",
"R=200#kohm(R1=R2=R)\n",
"C=200#pF(C1=C2=C)\n",
"f=1/(2*math.pi*R*1000*C*10**-12)#Hz\n",
"print round(f*10**-3,3),\"= Frequency of oscillation(kHz)\"\n",
"#Answer in the book is wrong"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"3.979 = Frequency of oscillation(kHz)\n"
]
}
],
"prompt_number": 116
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.20:pg-187"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
" #Ex 3.20\n",
"import math\n",
"import numpy\n",
"omegaBYomega0=[0, 0.5, 1, 5, 10, 100] \n",
"T=numpy.zeros(6);\n",
"G=numpy.zeros(6);\n",
"A=numpy.zeros(6);\n",
"f=numpy.zeros(6);\n",
" #T=omega0/sqrt(omega0**2+omega**2) #Gain\n",
"for i in range(0,6):\n",
" T[i]=round(1/sqrt(1**2+omegaBYomega0[i]**2),3) #Gain \n",
" G[i]=round(20*math.log10(T[i]),2) #dB\n",
" A[i]=round(-20*math.log10(T[i]),2) #dB\n",
" f[i]=round(-math.atan(omegaBYomega0[i])*180/math.pi,2) #degree\n",
"\n",
"print \"omega/omega0 T(j*omega) (G(dB)) A(dB) f\"\n",
"for i in range(0,6):\n",
" print omegaBYomega0[i],\"\\t\\t\\t\\t\",T[i],\"\\t\\t\\t\\t\",G[i],\"\\t\\t\\t\\t\",A[i],\"\\t\\t\\t\\t\",f[i] \n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"omega/omega0 T(j*omega) (G(dB)) A(dB) f\n",
"0 \t\t\t\t1.0 \t\t\t\t0.0 \t\t\t\t-0.0 \t\t\t\t-0.0\n",
"0.5 \t\t\t\t0.894 \t\t\t\t-0.97 \t\t\t\t0.97 \t\t\t\t-26.57\n",
"1 \t\t\t\t0.707 \t\t\t\t-3.01 \t\t\t\t3.01 \t\t\t\t-45.0\n",
"5 \t\t\t\t0.196 \t\t\t\t-14.15 \t\t\t\t14.15 \t\t\t\t-78.69\n",
"10 \t\t\t\t0.1 \t\t\t\t-20.0 \t\t\t\t20.0 \t\t\t\t-84.29\n",
"100 \t\t\t\t0.01 \t\t\t\t-40.0 \t\t\t\t40.0 \t\t\t\t-89.43\n"
]
}
],
"prompt_number": 135
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.21:pg-188"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 3.21\n",
"import math\n",
"omega1=0.1#rad/s\n",
"omega2=1.0#rad/s\n",
"omega3=10.0#rad/s\n",
"T1=round(1/math.sqrt(1+omega1**6))#Transfer function\n",
"T2=round(1/math.sqrt(1+omega2**6),3)#Transfer function\n",
"T3=round(1/math.sqrt(1+omega3**6),3)#Transfer function\n",
"f1=-math.atan((2*omega1-omega1**3)/real(1-2*omega1**2))*180/math.pi#degree\n",
"f2=-math.atan((2*omega2-omega2**3)/real(1-2*omega2**2))*180/math.pi#degree\n",
"f3=-math.atan((2*omega3-omega3**3)/real(1-2*omega3**2))*180/math.pi#degree\n",
"print \"Value of T= \",T1,\"& f1 for 0.1 rad/s:\",round(f1,1),\"degree\"\n",
"print \"Value of T= \",T2,\"& f2 for 1 rad/s: \",f2-180,\"degree\"\n",
"print \"Value of T= \",T3,\"& f3 for 10 rad/s: \",round(f3,2),\"degree\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Value of T= 1.0 & f1 for 0.1 rad/s: -11.5 degree\n",
"Value of T= 0.707 & f2 for 1 rad/s: -135.0 degree\n",
"Value of T= 0.001 & f3 for 10 rad/s: -78.52 degree\n"
]
}
],
"prompt_number": 145
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.22:pg-189"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
" #Ex 3.22\n",
"import math\n",
"f0=10*1000 #Hz(3-dB frequency)\n",
"DCgain=10 #dc gain\n",
"R1=10 #kohm\n",
"R2=DCgain*R1 #kohm\n",
"C=round(1/(2*math.pi*f0*R2*1000)*10**9,3) #nF\n",
"print \"Design values are :\"\n",
"print R2,\"= Resistance R2(kohm) \"\n",
"print C,\"= Capacitance C(nF)\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Design values are :\n",
"100 = Resistance R2(kohm) \n",
"0.159 = Capacitance C(nF)\n"
]
}
],
"prompt_number": 147
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.23:pg-190"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
" # Ex 3.23\n",
"import math\n",
"f0=100 # Hz(3-dB frequency)\n",
"Ri_inf=100 # kohm(High frequency input resistance)\n",
"Tinf=1 # high frequency gain\n",
"R1=Ri_inf # kohm\n",
"R2=Tinf*R1 # kohm\n",
"C=round(1/(2*math.pi*f0*R2*1000)*10**9,1) #nF\n",
"print \"Design values are :\"\n",
"print R2,\"= Resistance R1=R2(kohm) \"\n",
"print C,\"= Capacitance C(nF)\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Design values are :\n",
"100 = Resistance R1=R2(kohm) \n",
"15.9 = Capacitance C(nF)\n"
]
}
],
"prompt_number": 194
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.24:pg-190"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Ex 3.24 \n",
"import math\n",
"Ap=12 # dB(Pass band gain)\n",
"G=round(10**(Ap/20)) # gain(unitless)\n",
"Ri=100 # kohm(as high input impedence required)\n",
"R1=Ri # kohm\n",
"# Low pass filter design\n",
"ALP=-1\n",
"AHP=-4 # (to satisfy R2<=100 # kohm)\n",
"R2=-ALP*R1 # kohm\n",
"f0=10*1000 # Hz(3-dB frequency)\n",
"C=round(1/(2*math.pi*f0*R2*1000)*10**9,3) # nF\n",
"print \"Design values for low pass filter \" \n",
"print R2,\"= Resistance R1=R2 in kohm \" \n",
"print C,\"= Capacitance C(nF)\" \n",
"# High pass filter design\n",
"R3=25 # kohm(Assumed)\n",
"R4=-AHP*R3 # kohm\n",
"f0=100 # Hz(3-dB frequency)\n",
"C=round(1/(2*math.pi*f0*R3*1000)*10**9,1) # nF\n",
"print \"Design values for high pass filter \" \n",
"print R4,\",\",R3,\"= Resistance R3 & R4 in kohm respectively \" \n",
"print C,\"= Capacitance C(nF)\" \n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Design values for low pass filter \n",
"100 = Resistance R1=R2 in kohm \n",
"0.159 = Capacitance C(nF)\n",
"Design values for high pass filter \n",
"100 , 25 = Resistance R3 & R4 in kohm respectively \n",
"63.7 = Capacitance C(nF)\n"
]
}
],
"prompt_number": 193
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.25:pg-192"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
" #Ex 3.25 \n",
"import math \n",
"omega=10**4 #rad/s\n",
"C=10.0 #nF\n",
"fi1=math.radians(-30.0) #degree\n",
"fi2=math.radians(-90.0) #degree\n",
"fi3=math.radians(-120.0) #degree\n",
"fi4=math.radians(-150.0) #degree\n",
"R1=(math.tan(-fi1/2)/(C*10**-9*omega)/1000) #kohm\n",
"R2=math.tan(-fi2/2)/(C*10**-9*omega)/1000 #kohm\n",
"R3=math.tan(-fi3/2)/(C*10**-9*omega)/1000 #kohm\n",
"R4=math.tan(-fi4/2)/(C*10**-9*omega)/1000 #kohm\n",
"print \"For phase shift=-30 degree, Resistance(kohm=\",round(R1,2) \n",
"print \"For phase shift=-90 degree, Resistance(kohm)=\",round(R2,2)\n",
"print \"For phase shift=-120 degree, Resistance(kohm)=\",round(R3,2)\n",
"print \"For phase shift=-150 degree, Resistance(kohm)=\",round(R4,2)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"For phase shift=-30 degree, Resistance(kohm= 2.68\n",
"For phase shift=-90 degree, Resistance(kohm)= 10.0\n",
"For phase shift=-120 degree, Resistance(kohm)= 17.32\n",
"For phase shift=-150 degree, Resistance(kohm)= 37.32\n"
]
}
],
"prompt_number": 178
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.26:pg-194"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
" # Ex 3.26 \n",
"import math \n",
"omega1=0 # rad/s\n",
"omega2=inf # rad/s\n",
"omega0=math.degrees(10**4) # rad/s(Assumed)\n",
"fi1=math.atan(omega2/omega0)-math.atan(omega2/-omega0) # degree\n",
"fi2=math.atan(omega1/omega0)-math.atan(omega1/-omega0) # degree\n",
"print \"For omega=0 phase shift(degree)=\",int(fi1*180/math.pi)\n",
"print \"For omega=infinity phase shift(degree)=\",int(fi2*180/math.pi)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"For omega=0 phase shift(degree)= 180\n",
"For omega=infinity phase shift(degree)= 0\n"
]
}
],
"prompt_number": 187
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3.28:pg-197"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 3.28\n",
"import math\n",
"f0=1*1000 #Hz\n",
"BW=2*math.pi*50 #Hz\n",
"C=10 #nF\n",
"Q=2*math.pi*f0/BW #quality factor\n",
"R=1/(2*math.pi*f0*C*10**-9)/1000 #kohm\n",
"R1=10 #kohm(Assumed)\n",
"RF=10 #kohm(Assumed)\n",
"R3BYR2=2*Q-1\n",
"R2=10 #kohm(Assumed)\n",
"R3=R3BYR2*R2 #kohm\n",
"print \"Design values for KHN circuit:\"\n",
"print RF,\",\",R1,\"= Use Resistance R1 & RF in kohm\"\n",
"print R2,\"= Use Resistance R2 in kohm\"\n",
"print R3,\"= Resistance R3 in kohm\"\n",
"K=2-1/Q #scaling factor\n",
"CenterFrequency=K*Q\n",
"print CenterFrequency,\"= CenterFrequency \""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Design values for KHN circuit:\n",
"10 , 10 = Use Resistance R1 & RF in kohm\n",
"10 = Use Resistance R2 in kohm\n",
"390.0 = Resistance R3 in kohm\n",
"39.0 = CenterFrequency \n"
]
}
],
"prompt_number": 2
}
],
"metadata": {}
}
]
}