{
"metadata": {
"name": "",
"signature": "sha256:862d4d2200cef4afafe4b0610190ff2ff686b747269183b5312528ef1b293d1a"
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"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter01:Analog Integrated Circuit Design"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1.1:Pg-10"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 1.1\n",
"import math\n",
"VDD=1.8;#V\n",
"IREF=50;#micro A\n",
"IO=IREF;#micro A\n",
"L=0.5;#micro m\n",
"W=5;#micro m\n",
"Vt=0.5;#V\n",
"Kn_dash=250;#micro A/V**2\n",
"VGS=math.sqrt(IO/(1/2.0*Kn_dash*(W/L)))+Vt;#V\n",
"print VGS,\" is the Value of VGS(V) \"\n",
"R=(VDD-VGS)/(IREF*10**-6);#ohm\n",
"print R/1000,\" is the Value of R(kohm) \"\n",
"VDS2=VGS-Vt;#V\n",
"VO=VDS2;#V\n",
"print VO,\" is the Lowest value of VO(V) \"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.7 is the Value of VGS(V) \n",
"22.0 is the Value of R(kohm) \n",
"0.2 is the Lowest value of VO(V) \n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1.3:Pg-12"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 1.3\n",
"\n",
"VDD=1.8;#V\n",
"Vt=0.6;#V\n",
"mpCox=100;#a A/V**2\n",
"IREF=80;#micro A\n",
"VOmax=1.6;#V\n",
"VSG=VDD-VOmax+Vt;#V\n",
"VGS=-VSG;#V\n",
"VS=VDD;#V\n",
"VG=VGS+VS;#V\n",
"R=VG/(IREF*10**-6);#ohm\n",
"ID=IREF;#micro A\n",
"WbyL=2*ID*10**-6/(mpCox*10**-6)/(VGS+Vt)**2;#unitless\n",
"print VGS,\"= Value of VGS(V) \"\n",
"print VG,\"= Value of VG(V) \"\n",
"print R/1000,\"= Value of R(kohm) \"\n",
"print WbyL,\"= W/L ratio \"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"-0.8 = Value of VGS(V) \n",
"1.0 = Value of VG(V) \n",
"12.5 = Value of R(kohm) \n",
"40.0 = W/L ratio \n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1.4:Pg-19"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 1.4\n",
"\n",
"Beta=80;#unitless\n",
"print \"IREF=IC1+IC1/Beta+IO/Beta)\"\n",
"print \"IO/IREF=m implies IC1=IO/m as IC1=IREF\"\n",
"print \"IREF=IO*(1/m+1/m/Beta+1/Beta)\"\n",
"print \"IO/IREF=m/(1+1/Beta+m/Beta)\"\n",
"print \"IO/IREF=m*(1-5/100)\"#for large Beta\n",
"m=(1/(1-5.0/100)-1)*Beta-1;#Current transfer ratio\n",
"print round(m,2),\" is Largest current transfer ratio \"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"IREF=IC1+IC1/Beta+IO/Beta)\n",
"IO/IREF=m implies IC1=IO/m as IC1=IREF\n",
"IREF=IO*(1/m+1/m/Beta+1/Beta)\n",
"IO/IREF=m/(1+1/Beta+m/Beta)\n",
"IO/IREF=m*(1-5/100)\n",
"3.21 is Largest current transfer ratio \n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1.7:pg-37"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 1.7\n",
"\n",
"Beta=80;#untless\n",
"print \"g8=IC1+IC1/Beta+IO/Beta\"\n",
"print \"IO/IREF=m implies IC1=IO/m as IC1=IREF\"\n",
"print \"IREF=IO*(1/m+1/m/Beta+1/Beta\"\n",
"print \"IO/IREF=m/(1+1/Beta+m/Beta\"\n",
"print \"IO/IREF=m*(1-5/100)\"#for large Beta\n",
"m=(1/(1-5.0/100)-1)*Beta-1;#Current transfer ratio\n",
"print round(m,2),\"Largest current transfer ratio \"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"g8=IC1+IC1/Beta+IO/Beta\n",
"IO/IREF=m implies IC1=IO/m as IC1=IREF\n",
"IREF=IO*(1/m+1/m/Beta+1/Beta\n",
"IO/IREF=m/(1+1/Beta+m/Beta\n",
"IO/IREF=m*(1-5/100)\n",
"3.21 Largest current transfer ratio \n"
]
}
],
"prompt_number": 63
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1.9:Pg-39"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 1.9\n",
"\n",
"\n",
"Beta=20.0;#unitless\n",
"IObyIREF=1/(1+2/Beta);#Current gain\n",
"print round(IObyIREF,2),\" is Current gain \"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.91 is Current gain \n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1.10:Pg-39"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 1.10\n",
"\n",
"IREF=2;#mA\n",
"IO=IREF;#mA\n",
"VA2=90.0;#V\n",
"Vo1=1.0;#V\n",
"Vo2=10.0;#V\n",
"ro2=VA2/IO;#kohm\n",
"delVO=Vo2-Vo1;#V\n",
"delIO=delVO/ro2;#mA\n",
"Change=delIO/IO*100;#%\n",
"print Change,\" % is Change in Io \"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"10.0 % is Change in Io \n"
]
}
],
"prompt_number": 13
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1.11:Pg-40"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 1.11\n",
"\n",
"import math\n",
"VBE3=0.7;#V\n",
"VBE1=0.7;#V\n",
"IREF1=100.0;#micro A\n",
"IC1=IREF1;#micro A\n",
"IREF2=1.0;#mA\n",
"IC2=IREF2;#mA\n",
"Beta=200.0;#unitless\n",
"#IC2/IC1=(IS*exp(VBE2/VT))/(IS*exp(VBE1/VT))\n",
"VT=26.0;#mV\n",
"deltaVBE=VT*10**-3*math.log(IC2/IC1);#V(deltaVBE=VBE2-VBE1)\n",
"deltaVx=2*deltaVBE;#V\n",
"IO=IREF1/(1+2.0/(Beta**2+Beta));#micro A\n",
"delIO=IC1-IO;#micro A\n",
"Change=delIO/IO*100;#%\n",
"print round(Change,4),\" % is Change in Io\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.005 % is Change in Io\n"
]
}
],
"prompt_number": 18
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1.12:Pg-41"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 1.12\n",
"\n",
"Iout=8;#micro A\n",
"VBE=0.7;#V\n",
"VCC=20.0;#V\n",
"Beta=80.0;#unitless\n",
"IREF=Iout*(1+2/Beta);#micro A\n",
"print IREF,\" is Reference current in micro A : \"\n",
"R=(VCC-VBE)/(IREF);#Mohm\n",
"print round(R,2),\" is Resistance in Mohm \"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"8.2 is Reference current in micro A : \n",
"2.35 is Resistance in Mohm \n"
]
}
],
"prompt_number": 22
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1.13:Pg-42"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 1.13\n",
"\n",
"Iout=1;#mA\n",
"VBE=0.7;#V\n",
"VCC=30.0;#V\n",
"Beta=100.0;#unitless\n",
"IREF=Iout*(1+2/Beta);#mA\n",
"print IREF,\" is Reference current in (mA) \"\n",
"R=(VCC-VBE)/(IREF);#kohm\n",
"print round(R,1),\"is Resistance in (kohm) \"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"1.02 is Reference current in (mA) \n",
"28.7 is Resistance in (kohm) \n"
]
}
],
"prompt_number": 25
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1.14:Pg-42"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 1.14\n",
"\n",
"Iout=0.5;#mA\n",
"VBE=0.7;#V\n",
"VCC=5.0;#V\n",
"Beta=50.0;#unitless\n",
"IREF=Iout*(1+2/Beta);#mA\n",
"print IREF,\" is Reference current in (mA) \"\n",
"R=(VCC-VBE)/(IREF);#kohm\n",
"print round(R,3),\" is Resistance in (kohm) \"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.52 is Reference current in (mA) \n",
"8.269 is Resistance in (kohm) \n"
]
}
],
"prompt_number": 28
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1.15:Pg-43"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 1.15\n",
"\n",
"Iout=8;#micro A\n",
"VBE=0.7;#V\n",
"VCC=20.0;#V\n",
"Beta=100.0;#unitless\n",
"IREF=Iout*(1+2/Beta/(Beta+1));#micro A\n",
"print round(IREF,2),\" is Reference current in (micro A) \"\n",
"R=(VCC-2*VBE)/(IREF);#Mohm\n",
"print round(R,2),\" is Resistance in (Mohm) \"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"8.0 is Reference current in (micro A) \n",
"2.32 is Resistance in (Mohm) \n"
]
}
],
"prompt_number": 31
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1.16:Pg-45"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 1.16\n",
"\n",
"Beta=120;#unitless\n",
"VBE=0.7;#V\n",
"VCC=10.0;#V\n",
"R=5.6;#kohm\n",
"#IREF=IC1+I1;as Beta>>1\n",
"#I1=IC2+IB3;as Beta>>1\n",
"IREF=(VCC-VBE)/R;#mA\n",
"#IREF=IC*(2+1/Beta) or IREF=2*IC;as Beta>>1\n",
"IC=IREF/2;#mA\n",
"Iout=IC;#mA\n",
"print round(Iout,2),\"is Iout for the circuit in (mA) \"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.83 is Iout for the circuit in (mA) \n"
]
}
],
"prompt_number": 33
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1.17:Pg-45"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 1.17\n",
"import math\n",
"Iout=6;#micro A\n",
"IREF=1.2;#mA\n",
"VBE2=0.7;#V\n",
"VT=26.0;#mV\n",
"VCC=20.0;#V\n",
"Beta=120;#unitless\n",
"R=(VCC-VBE2)/IREF;#kohm\n",
"IC2=(IREF-Iout/Beta)/(1+1/Beta);#mA\n",
"RS=VT/Iout*math.log(IC2*1000/Iout);#kohm\n",
"print int(R),\"Kohm and \",round(RS,2),\"kohm are the Values of resistance R & Rs for widlar current source design\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"16 Kohm and 22.96 kohm are the Values of resistance R & Rs for widlar current source design\n"
]
}
],
"prompt_number": 40
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1.18:Pg-47"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 1.18\n",
"\n",
"import math\n",
"IREF=1;#mA\n",
"IO2=20.0;#micro A\n",
"IO3=40.0;#micro A\n",
"VBE1=0.7;#V\n",
"VT=26;#mV\n",
"VCC=10;#V\n",
"VEE=-VCC;#V\n",
"R=(VCC-VBE1-VEE)/IREF;#kohm\n",
"RE2=VT*10**-3/(IO2*10**-6)*math.log((IREF*10**-3)/(IO2*10**-6));#ohm\n",
"RE2=RE2/1000;#kohm\n",
"RE3=VT*10**-3/(IO3*10**-6)*math.log((IREF*10**-3)/(IO3*10**-6));#ohm\n",
"RE3=RE3/1000;#kohm\n",
"print R,\", \",round(RE2,3),\"and \", round(RE3,2),\" are Values of resistance R, RE2 & RE3 for widlar current source design in kohm \"\n",
"VBE2=VBE1-RE2*IO2*10**-3;#V\n",
"VBE3=VBE1-RE3*IO3*10**-3;#V\n",
"\n",
"print round(VBE2,3),\"and\",round(VBE3,3),\" are Values of VBE2 & VBE3 in V \"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"19.3 , 5.086 and 2.09 are Values of resistance R, RE2 & RE3 for widlar current source design in kohm \n",
"0.598 and 0.616 are Values of VBE2 & VBE3 in V \n"
]
}
],
"prompt_number": 49
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1.19:Pg-48"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 1.19\n",
"\n",
"Beta=100.0;#unitless\n",
"VBE=0.715;#V\n",
"VEE=10.0;#V\n",
"R=5.6;#kohm\n",
"IREF=(VEE-VBE)/R;#mA\n",
"IC1=IREF/(1+2/Beta);#mA\n",
"print round(IC1,2),\" is Collector current in each transistor is equal as all are identical. It in (mA) \"\n",
"IRC=3*IC1;#mA\n",
"print round(IRC,2),\"is Current through resistance Rc in (mA) \"\n",
" # the answer is slightly different in textbook due to approximation"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"1.63 is Collector current in each transistor is equal as all are identical. It in (mA) \n",
"4.88 is Current through resistance Rc in (mA) \n"
]
}
],
"prompt_number": 52
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1.20:Pg-49"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 1.20\n",
"\n",
"Vout=5.0;#V\n",
"Beta=180.0;#unitless\n",
"VBE=0.7;#V\n",
"VEE=10.0;#V\n",
"Vout=5;#V\n",
"R1=22.0;#kohm\n",
"R2=2.2;#kohm\n",
"IREF=(VEE-VBE)/R1;#mA\n",
"IC=(IREF-VBE/R2)/(1+2/Beta);#mA\n",
"IC1=IC*1000;#micro A(as VBE1=VBE2 IC1=IC2)\n",
"IC2=IC*1000;#micro A\n",
"print round(IC2,2),\",\",round(IC1,2),\" are Current IC1 & IC2 in micro A \"\n",
"RC=(VEE-Vout)/(IC1*10**-3);#kohm\n",
"print round(RC,2),\"is Value of Rc in (kohm) \"\n",
"\n",
"#Answer is different in the textbook due to approximation\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"103.4 , 103.4 are Current IC1 & IC2 in micro A \n",
"48.36 is Value of Rc in (kohm) \n"
]
}
],
"prompt_number": 56
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1.21:Pg-51"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Ex 1.21\n",
"\n",
"AQ2byA1=0.5;\n",
"AQ3byA1=0.25;\n",
"AQ4byA1=0.125;\n",
"VBE=0.7;#V\n",
"VCC=15.0;#V\n",
"R=20.0;#kohm\n",
"IC1=(VCC-VBE)/R;#mA\n",
"IC2=IC1*AQ2byA1;#mA\n",
"IC3=IC1*AQ3byA1;#mA\n",
"IC4=IC1*AQ4byA1;#mA\n",
"print round(IC2,4),\",\",round(IC3,3),\"and\",round(IC4,3),\"are the Values of current IC2, IC3 & IC4 in (mA) \"\n",
"#Value of IC4 is displayed wrong in the textbook.\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.3575 , 0.179 and 0.089 are the Values of current IC2, IC3 & IC4 in (mA) \n"
]
}
],
"prompt_number": 62
}
],
"metadata": {}
}
]
}