{
"cells": [
 {
		   "cell_type": "markdown",
	   "metadata": {},
	   "source": [
       "# Chapter 1: Analog Integrated Circuit Design"
	   ]
	},
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 1.10: Change_in_IO.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 1.10\n",
"clc;clear;close;\n",
"IREF=2;//mA\n",
"IO=IREF;//mA\n",
"VA2=90;//V\n",
"Vo1=1;//V\n",
"Vo2=10;//V\n",
"ro2=VA2/IO;//kohm\n",
"delVO=Vo2-Vo1;//V\n",
"delIO=delVO/ro2;//mA\n",
"Change=delIO/IO*100;//%\n",
"disp(Change,'Change in Io(%) : ');"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 1.11: Lowest_output_voltage.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 1.11\n",
"clc;clear;close;\n",
"VBE3=0.7;//V\n",
"VBE1=0.7;//V\n",
"IREF1=100;//micro A\n",
"IC1=IREF1;//micro A\n",
"IREF2=1;//mA\n",
"IC2=IREF2;//mA\n",
"Beta=200;//unitless\n",
"//IC2/IC1=(IS*exp(VBE2/VT))/(IS*exp(VBE1/VT))\n",
"VT=26;//mV\n",
"deltaVBE=VT*10^-3*log(IC2/IC1);//V(deltaVBE=VBE2-VBE1)\n",
"deltaVx=2*deltaVBE;//V\n",
"IO=IREF1/(1+2/(Beta^2+Beta));//micro A\n",
"delIO=IC1-IO;//micro A\n",
"Change=delIO/IO*100;//%\n",
"disp(Change,'Change in Io(%) : ');"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 1.12: Design_a_current_mirror_circuit.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 1.12\n",
"clc;clear;close;\n",
"format('v',5);\n",
"Iout=8;//micro A\n",
"VBE=0.7;//V\n",
"VCC=20;//V\n",
"Beta=80;//unitless\n",
"IREF=Iout*(1+2/Beta);//micro A\n",
"disp(IREF,'Reference current is(micro A) : ');\n",
"R=(VCC-VBE)/(IREF);//Mohm\n",
"disp(R,'Resistance is(Mohm) : ');"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 1.13: Design_a_current_mirror_circuit.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 1.13\n",
"clc;clear;close;\n",
"format('v',5);\n",
"Iout=1;//mA\n",
"VBE=0.7;//V\n",
"VCC=30;//V\n",
"Beta=100;//unitless\n",
"IREF=Iout*(1+2/Beta);//mA\n",
"disp(IREF,'Reference current is(mA) : ');\n",
"R=(VCC-VBE)/(IREF);//kohm\n",
"disp(R,'Resistance is(kohm) : ');"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 1.14: CIrcuit_of_current_source.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 1.14\n",
"clc;clear;close;\n",
"format('v',5);\n",
"Iout=0.5;//mA\n",
"VBE=0.7;//V\n",
"VCC=5;//V\n",
"Beta=50;//unitless\n",
"IREF=Iout*(1+2/Beta);//mA\n",
"disp(IREF,'Reference current is(mA) : ');\n",
"R=(VCC-VBE)/(IREF);//kohm\n",
"disp(R,'Resistance is(kohm) : ');"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 1.15: Modified_current_mirror_circuit.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 1.15\n",
"clc;clear;close;\n",
"format('v',5);\n",
"Iout=8;//micro A\n",
"VBE=0.7;//V\n",
"VCC=20;//V\n",
"Beta=100;//unitless\n",
"IREF=Iout*(1+2/Beta/(Beta+1));//micro A\n",
"disp(IREF,'Reference current is(micro A) : ');\n",
"R=(VCC-2*VBE)/(IREF);//Mohm\n",
"disp(R,'Resistance is(Mohm) : ');"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 1.16: Find_Iout.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 1.16\n",
"clc;clear;close;\n",
"format('v',5);\n",
"Beta=120;//unitless\n",
"VBE=0.7;//V\n",
"VCC=10;//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",
"disp(Iout,'Iout for the circuit is(mA) : ');"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 1.17: Design_a_widlar_current_source.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 1.17\n",
"clc;clear;close;\n",
"format('v',5);\n",
"Iout=6;//micro A\n",
"IREF=1.2;//mA\n",
"VBE2=0.7;//V\n",
"VT=26;//mV\n",
"VCC=20;//V\n",
"Beta=120;//unitless\n",
"R=(VCC-VBE2)/IREF;//kohm\n",
"IC2=(IREF-Iout/Beta)/(1+1/Beta);//mA\n",
"RS=VT/Iout*log(IC2*1000/Iout);//kohm\n",
"disp(RS,R,'Value of resistance R & Rs for widlar current source design is(kohm) : ');"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 1.18: Design_a_widlar_current_source.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 1.18\n",
"clc;clear;close;\n",
"format('v',5);\n",
"IREF=1;//mA\n",
"IO2=20;//micro A\n",
"IO3=40;//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)*log((IREF*10^-3)/(IO2*10^-6));//ohm\n",
"RE2=RE2/1000;//kohm\n",
"RE3=VT*10^-3/(IO3*10^-6)*log((IREF*10^-3)/(IO3*10^-6));//ohm\n",
"RE3=RE3/1000;//kohm\n",
"disp(RE3,RE2,R,'Value of resistance R, RE2 & RE3 for widlar current source design is(kohm) : ');\n",
"VBE2=VBE1-RE2*IO2*10^-3;//V\n",
"VBE3=VBE1-RE3*IO3*10^-3;//V\n",
"format('v',7);\n",
"disp(VBE3,VBE2,'Values of VBE2 & VBE3(V) : ');"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 1.19: Calculate_current.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 1.19\n",
"clc;clear;close;\n",
"format('v',5);\n",
"Beta=100;//unitless\n",
"VBE=0.715;//V\n",
"VEE=10;//V\n",
"R=5.6;//kohm\n",
"IREF=(VEE-VBE)/R;//mA\n",
"IC1=IREF/(1+2/Beta);//mA\n",
"disp(IC1,'Collector current in each transistor is equal as all are identical. It is(mA) : ');\n",
"IRC=3*IC1;//mA\n",
"disp(IRC,'Current through resistance Rc is (mA) : ');"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 1.1: Lowest_value_of_VO.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 1.1\n",
"clc;clear;close;\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=sqrt(IO/(1/2*Kn_dash*(W/L)))+Vt;//V\n",
"disp(VGS,'Value of VGS(V) : ');\n",
"R=(VDD-VGS)/(IREF*10^-6);//ohm\n",
"disp(R/1000,'Value of R(kohm) : ');\n",
"VDS2=VGS-Vt;//V\n",
"VO=VDS2;//V\n",
"disp(VO,'Lowest value of VO(V) : ');"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 1.20: IC1_IC2_and_RC.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 1.20\n",
"clc;clear;close;\n",
"format('v',6);\n",
"Vout=5;//V\n",
"Beta=180;//unitless\n",
"VBE=0.7;//V\n",
"VEE=10;//V\n",
"Vout=5;//V\n",
"R1=22;//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",
"disp(IC2,IC1,'Current IC1 & IC2 (micro A) : ');\n",
"RC=(VEE-Vout)/(IC1*10^-3);//kohm\n",
"disp(RC,'Value of Rc is (kohm) : ');\n",
"//Answer is wrong in the textbook."
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 1.21: IC2_IC3_IC4.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 1.21\n",
"clc;clear;close;\n",
"format('v',6);\n",
"AQ2byA1=0.5;\n",
"AQ3byA1=0.25;\n",
"AQ4byA1=0.125;\n",
"VBE=0.7;//V\n",
"VCC=15;//V\n",
"R=20;//kohm\n",
"IC1=(VCC-VBE)/R;//mA\n",
"IC2=IC1*AQ2byA1;//mA\n",
"IC3=IC1*AQ3byA1;//mA\n",
"IC4=IC1*AQ4byA1;//mA\n",
"disp(IC4,IC3,IC2,'Value of current IC2, IC3 & IC4 is (mA) : ');\n",
"//Value of IC4 is displayed wrong in the textbook."
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 1.3_1: Current_gain.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 1.3 at page no. 20\n",
"clc;\n",
"clear;\n",
"format('v',5);\n",
"close;\n",
"Beta=20;//unitless\n",
"IObyIREF=1/(1+2/Beta);//Current gain\n",
"disp(IObyIREF,'Current gain : ');"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 1.3: Design_a_current_source.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 1.3\n",
"clc;clear;close;\n",
"VDD=1.8;//V\n",
"Vt=0.6;//V\n",
"mpCox=100;//micro 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",
"disp(VGS,'Value of VGS(V) : ');\n",
"disp(VG,'Value of VG(V) : ');\n",
"disp(R/1000,'Value of R(kohm) : ');\n",
"disp(WbyL,'W/L ratio : ');"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 1.4: Current_transfer_ratio.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 1.4\n",
"clc;clear;close;\n",
"format('v',5);\n",
"Beta=80;//unitless\n",
"disp('IREF=IC1+IC1/Beta+IO/Beta');\n",
"disp('IO/IREF=m implies IC1=IO/m as IC1=IREF');\n",
"disp('IREF=IO*(1/m+1/m/Beta+1/Beta');\n",
"disp('IO/IREF=m/(1+1/Beta+m/Beta');\n",
"disp('IO/IREF=m*(1-5/100);//for large Beta');\n",
"m=(1/(1-5/100)-1)*Beta-1;//Current transfer ratio\n",
"disp(m,'Largest current transfer ratio : ');"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 1.7: Transistor_ratio.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 1.7\n",
"clc;clear;close;\n",
"format('v',5);\n",
"Beta=80;//untless\n",
"disp('IREF=IC1+IC1/Beta+IO/Beta');\n",
"disp('IO/IREF=m implies IC1=IO/m as IC1=IREF');\n",
"disp('IREF=IO*(1/m+1/m/Beta+1/Beta');\n",
"disp('IO/IREF=m/(1+1/Beta+m/Beta');\n",
"disp('IO/IREF=m*(1-5/100);//for large Beta');\n",
"m=(1/(1-5/100)-1)*Beta-1;//Current transfer ratio\n",
"disp(m,'Largest current transfer ratio : ');"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 1.9: Current_gain.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 1.9\n",
"clc;\n",
"clear;\n",
"close;\n",
"format('v',5);\n",
"Beta=20;//unitless\n",
"IObyIREF=1/(1+2/Beta);//Current gain\n",
"disp(IObyIREF,'Current gain : ');"
   ]
   }
],
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		   "file_extension": ".sce",
		   "help_links": [
			{
			 "text": "MetaKernel Magics",
			 "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
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