{
"cells": [
 {
		   "cell_type": "markdown",
	   "metadata": {},
	   "source": [
       "# Chapter 7: Frequency Response"
	   ]
	},
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.10: Calculate_bandwidth_and_capacitance.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clear;\n",
"clc;\n",
"//Example 7.10\n",
"fT=500;\n",
"Ic=1;\n",
"b=100;\n",
"Vt=0.026;\n",
"C2=0.3*10^-12;\n",
"fB=fT/b;\n",
"printf('\nbandwidth=%.3f MHz\n',fB)\n",
"gm=Ic/Vt;\n",
"printf('\ntransconductance=%.3f mA/V\n',gm)\n",
"fT=500000000;\n",
"gm=38.5*0.001;\n",
"C1=gm/(fT*2*%pi)-C2;\n",
"printf('\ncapacitance =%3.2eF\n',C1)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.12: Determine_the_unity_gain_bandwidth.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clear;\n",
"clc;\n",
"//Example 7.12\n",
"Kn=0.25;\n",
"Vtn=1;\n",
"Cgd=0.04*10^-3;\n",
"Cgs=0.2*10^-3;\n",
"Vgs=3;\n",
"gm=2*Kn*(Vgs-Vtn);\n",
"printf('\ntransconductance =%.3fmA/V\n',gm)\n",
"fT=gm/(2*%pi*(Cgd+Cgs));\n",
"printf('\nunity gain bandwidth=%.f MHz\n',fT)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.13: Determine_the_Miller_capacitance_and_cutoff_frequency.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clear;\n",
"clc;\n",
"//Example 7.13\n",
"gm=1;\n",
"Cgd=0.04;\n",
"Rl=10;\n",
"Cgs=0.2;\n",
"Cm=Cgd*(1+gm*Rl);\n",
"printf('\nMiller capacitance=%.3f pF\n',Cm)\n",
"Cm=0.44*0.001;//nF\n",
"Cgs=0.2*0.001;//nF\n",
"fT=gm/(2*%pi*(Cgs+Cm));\n",
"printf('\ncutoff frequency=%.3f MHz\n',fT)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.14: Determine_the_upper_corner_frequency_and_midband_gain.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clear;\n",
"clc;\n",
"//Example 7.14\n",
"V1=5;\n",
"V=-5;\n",
"Rs=0.1;\n",
"Rb=40;\n",
"R2=5.72;\n",
"Re=0.5;\n",
"Rc=5;\n",
"Rl=10;\n",
"b=150;\n",
"Vbe=0.7;\n",
"C1=35*10^-3;\n",
"C2=4;\n",
"Vt=0.026;\n",
"Icq=1.02;\n",
"r=b*Vt/Icq;\n",
"printf('\nsmall signal parameter=%.2f KOhm\n',r)\n",
"gm=Icq/Vt;\n",
"printf('\ntransconductance=%.3f mA/V\n',gm)\n",
"Cm=C2*(1+gm*Rc*Rl/(Rc+Rl));\n",
"printf('\nMiller capacitance=%.3f pF\n',Cm)\n",
"Cm=527*10^-3;\n",
"x=Rb*Rs/(Rb+Rs);\n",
"y=r*x/(r+x);\n",
"fH=1/(2*%pi*y*(C1+Cm));\n",
"printf('\nupper corner frequency =%.2fMHz\n',fH)\n",
"t=Rb*r/(Rb+r);\n",
"p=Rc*Rl/(Rc+Rl);\n",
"Av=gm*p*t/(t+Rs);\n",
"printf('\nmidband gain=%.2f\n',Av)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.15: Determine_the_upper_corner_frequency_and_midband_gain.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clear;\n",
"clc;\n",
"//Example 7.15\n",
"V1=5;\n",
"V=-5;\n",
"Rs=0.1;\n",
"R1=40;\n",
"R2=5.72;\n",
"Re=0.5;\n",
"Rc=5;\n",
"Rl=10;\n",
"b=150;\n",
"Vbe=0.7;\n",
"C1=35;\n",
"C2=4;\n",
"Vt=0.026;\n",
"Icq=1.02;\n",
"gm=39.2;\n",
"r=3.82;\n",
"x=Re*Rs/(Re+Rs);\n",
"t=r/(1+b);\n",
"y=t*x/(t+x);\n",
"Tp=y*C1;\n",
"printf('\ntime constant=%.3f ns\n',Tp)\n",
"Tp=0.679*10^-3;//micro sec\n",
"f=1/(2*%pi*Tp);\n",
"printf('\nupper frequency =%.3fMHz\n',f)\n",
"T=C2*Rc*Rl/(Rc+Rl);\n",
"printf('\ntime constant=%.3f ns\n',T)\n",
"T=13.3*10^-3;//micro sec\n",
"f=1/(2*%pi*T);\n",
"printf('\nupper frequency=%.2f MHz\n',f)\n",
"x=Rc*Rl/(Rc+Rl);\n",
"y=Re*t/(Re+t);\n",
"Av=gm*x*(y/(y+Rs));\n",
"printf('\nmidband voltage gain=%.2f \n',Av)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.16: Determine_the_upper_corner_frequency_and_midband_gain.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clear;\n",
"clc;\n",
"//Example 7.16\n",
"V1=5;\n",
"V=-5;\n",
"Rs=0.1;\n",
"R1=42.5;\n",
"R2=20.5;\n",
"R3=28.3;\n",
"Re=5.4;\n",
"Rc=5;\n",
"Rl=10;\n",
"b=150;\n",
"Vbe=0.7;\n",
"C1=35;\n",
"C2=4;\n",
"Vt=0.026;\n",
"Icq=1.02;\n",
"gm=39.2;\n",
"r=3.820;\n",
"Rb=R2*R3/(R2+R3);\n",
"x=Rb*r/(Rb+r);\n",
"y=Rs*x/(x+Rs);\n",
"Tp=y*(C1+2*C2);\n",
"printf('\ntime constant=%.3f ns\n',Tp)\n",
"Tp=Tp*10^-3;//micro sec\n",
"f=1/(2*%pi*Tp);\n",
"printf('\n3dB frequency =%0.3fMHz\n',f)\n",
"T=C2*Rc*Rl/(Rc+Rl);\n",
"printf('\ntime constant=%.2f ns\n',T)\n",
"T=T*0.001;//micro sec\n",
"f=1/(2*%pi*T);\n",
"printf('\nupper frequency=%.3f MHz\n',f)\n",
"x=Rc*Rl/(Rc+Rl);\n",
"y=Rb*r/(Rb+r);\n",
"Av=gm*x*(y/(y+Rs));\n",
"printf('\nmidband voltage gain=%.f \n',Av)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.17: Determine_the_frequency_of_a_zero_and_a_pole.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clear;\n",
"clc;\n",
"//Example 7.17\n",
"V1=5;\n",
"V=-5;\n",
"Rs=0.1;\n",
"R1=40;\n",
"R2=5.720;\n",
"Re=0.5;\n",
"Rc=5;\n",
"Rl=10;\n",
"b=150;\n",
"Vbe=0.7;\n",
"C1=35;\n",
"C2=4;\n",
"Vt=0.026;\n",
"Icq=1.02;\n",
"gm=39.2;\n",
"r=3.820;\n",
"t=r/(1+b);\n",
"t=t*0.001;\n",
"f=1/(2*%pi*C1*t);\n",
"printf('\nthe zero occurs at this frequency=%.2f MHz\n',f)\n",
"x=1+gm*Re*Rl/(Re+Rl);\n",
"Rb=R1*R2/(R1+R2)\n",
"d=x*r;\n",
"y=d*Rb/(d+Rb);\n",
"t=y*Rs/(y+Rs);\n",
"Tp=t*(C2+C1/x);\n",
"printf('\ntime constant=%.2f ns\n',Tp)\n",
"Tp=Tp*10^-3;//micro sec\n",
"f=1/(2*%pi*Tp);\n",
"printf('\n3dB frequency=%.f MHz\n',f)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.1: Determine_the_corner_frequencies_and_maximum_magnitude_asymptotes.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clear;\n",
"clc;\n",
"//Example 7.1\n",
"Rs=1000;\n",
"Rp=10000;\n",
"Cs=1*10^-6;\n",
"Cp=3*10^-12;\n",
"Ts=(Rs+Rp)*Cs;\n",
"printf('\ntime constant=%.3f s\n',Ts)\n",
"f=1/(2*%pi*Ts);\n",
"printf('\ncorner frequency=%.2f Hz\n',f)\n",
"x=20*log10(Rp/(Rp+Rs));\n",
"printf('\nmaximum magnitude =%.3fdB\n',x)\n",
"Rp=10;//KOhm\n",
"Rs=1;//Kohm\n",
"Cp=3;//pF\n",
"Tp=Cp*Rs*Rp/(Rs+Rp);\n",
"printf('\ntime constant=%.3f ns\n',Tp)\n",
"Tp=2.73*10^-3;//micro sec\n",
"f=1/(2*%pi*Tp);\n",
"printf('\ncorner frequency =%.2fMHz\n',f)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.2: Determine_the_corner_frequencies_and_bandwidth.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clear;\n",
"clc;\n",
"//Example 7.2\n",
"Rs=1000;\n",
"Rp=10000;\n",
"Cs=1*10^-6;\n",
"Cp=3*10^-12;\n",
"Ts=(Rs+Rp)*Cs;\n",
"printf('\nopen circuit time constant=%.3f s\n',Ts)\n",
"Rs=1;//KOhm\n",
"Rp=10;//KOhm\n",
"Cp=3;//pF\n",
"Tp=Cp*Rs*Rp/(Rs+Rp);\n",
"printf('\nshort circuit time constant=%.3f ns\n',Tp)\n",
"fL=1/(2*%pi*Ts);\n",
"printf('\ncorner frequency fL=%.2f Hz\n',fL)\n",
"Tp=2.73*10^-3;//microsec\n",
"fH=1/(2*%pi*Tp);\n",
"printf('\ncorner frequency fH=%.3f MHz\n',fH)\n",
"fL=14.5*10^-6;//MHz\n",
"fbw=fH-fL;\n",
"printf('\nbandwidth =%.3fMHz\n',fbw)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.3: Determine_the_corner_frequencies_and_maximum_gain.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clear;\n",
"clc;\n",
"//Example 7.3\n",
"R1=51.2;\n",
"R2=9.6;\n",
"Rc=2;\n",
"Re=.4;\n",
"Rsi=.1;\n",
"Vt=0.026;\n",
"Cc=1;\n",
"Vcc=10;\n",
"Vbe=0.7;\n",
"b=100;\n",
"Rb=8.08;\n",
"Icq=1.81;\n",
"gm=Icq/Vt;\n",
"printf('\ntransconductance=%.3f mA/V\n',gm)\n",
"r=b*Vt/Icq;\n",
"printf('\ndiffusion resistance=%.2f KOhm\n',r)\n",
"x=r+(1+b)*Re;\n",
"y=x*R2/(x+R2);\n",
"Ri=y*R1/(R1+y);\n",
"printf('\ninput resistance=%.3f KOhm\n',Ri)\n",
"Ts=(Rsi+Ri)*Cc;\n",
"printf('\ntime constant=%.3f ms\',Ts)\n",
"Ts=6.87*10^-3;//Sec\n",
"fL=1/(2*%pi*Ts);\n",
"printf('\ncorner frequency fL=%.3f Hz\n',fL)\n",
"Rib=r+(1+b)*Re;\n",
"printf('\nRib=%.3f KOhm\n',Rib)\n",
"Av=(gm*r*Rc/(Rsi+Ri))*Rb/(Rb+Rib);\n",
"printf('\nsmall signal voltage gain=%.2f\n',Av)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.4: Design_the_circuit.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clear;\n",
"clc;\n",
"//Example 7.4\n",
"fL=20*10^-3;//KHz\n",
"Rd=6.7;\n",
"Rl=10;\n",
"Ts=1/(2*%pi*fL);\n",
"printf('\ntime constant=%.3f ms\n',Ts)\n",
"Cc=Ts/(Rd+Rl);\n",
"printf('\ncoupling capacitance=%.3f microF\n',Cc)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.5: Determine_3dB_frequency.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clear;\n",
"clc;\n",
"//Example 7.5\n",
"b=100;\n",
"Vbe=0.7;\n",
"Rs=500;\n",
"Rb=100000;\n",
"Re=10000;\n",
"Rl=10000;\n",
"Va=120;\n",
"Ccc2=1*10^-6;\n",
"Icq=0.838*0.001;\n",
"r=3100;//small signal parameter\n",
"gm=32.2*0.001;\n",
"ro=143000;\n",
"x=(r+Rs*Rb/(Rs+Rb))/(1+b);\n",
"y=ro*x/(ro+x);\n",
"Ro=Re*y/(Re+y);\n",
"printf('\noutput resistance of emitter=%.2f Ohm\n',Ro)\n",
"Ts=(Ro+Rl)*Ccc2;\n",
"printf('\ntime constant=%.2f s\n',Ts)\n",
"fL=1/(2*%pi*Ts);\n",
"printf('\n3dB frequency=%.2f Hz\n',fL)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.6: Determine_the_corner_frequencies_and_maximum_gain.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clear;\n",
"clc;\n",
"//Example 7.6\n",
"Rs=3.2;\n",
"Rd=10;\n",
"Rl=20;\n",
"Cl=10;\n",
"Vtp=-2;\n",
"Kp=0.25;\n",
"Idq=0.5;\n",
"Vsgq=3.41;\n",
"Vsdq=3.41;\n",
"gm=2*Kp*(Vsgq+Vtp);\n",
"printf('\ntransconductance =%.3fmA/V\n',gm)\n",
"Tp=Cl*Rd*Rl/(Rd+Rl);\n",
"printf('\ntime constant=%.3f ns\n',Tp)\n",
"Tp=66.7*10^-3;//micro sec\n",
"fH=1/(2*%pi*Tp);\n",
"printf('\ncorner frequency=%.2f MHz\n',fH)\n",
"Av=(gm*Rd*Rl/(Rd+Rl))/(1+gm*Rs);\n",
"printf('\nmaximum small signal voltage gain=%.2f\n',Av)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.7: Determine_the_mid_gain_corner_frequencies_and_bandwidth_of_a_circuit.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clear;\n",
"clc;\n",
"//Example 7.7\n",
"Vbe=0.7;\n",
"b=100;\n",
"Re=.5;\n",
"Rc=5;\n",
"Rl=10;\n",
"R1=40;\n",
"Cc=10;\n",
"R2=5.7;\n",
"Rs=.1;\n",
"Vt=0.026;\n",
"Icq=0.99;\n",
"gm=Icq/Vt;\n",
"printf('\ntransconductance=%.3f mA/V\n',gm)\n",
"r=b*Vt/Icq;\n",
"printf('\ndiffusion resistance=%.2f KOhm\n',r)\n",
"Ri=r+(1+b)*Re;\n",
"printf('\ninput resistance=%.2f KOhm\n',Ri)\n",
"x=Rc*Rl/(Rc+Rl);\n",
"y=R1*R2/(R1+R2);\n",
"t=y*Ri/(y+Ri);\n",
"Av=gm*r*x*(y/(y+Ri))*(1/(Rs+t));\n",
"printf('\nmaximum small signal voltage gain=%.2f\n',Av)\n",
"Ts=(Rs+t)*Cc;\n",
"printf('\ntime constant=%.3f ms\n',Ts)\n",
"Ts=46.6*0.001;//sec\n",
"Cl=15;\n",
"Tp=x*Cl;\n",
"printf('\ntime constant=%.3f ns\n',Tp)\n",
"fL=1/(2*%pi*Ts);\n",
"printf('\nlower corner frequency=%.2f Hz\n',fL)\n",
"Tp=50*10^-3;//micro sec\n",
"fH=1/(2*%pi*Tp);\n",
"printf('\nupper corner frequency=%.2f MHz\n',fH)\n",
"fL=3.4*10^-6;//MHz\n",
"fbw=fH-fL;\n",
"printf('\nbandwidth =%.2fMHz\n',fbw)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.8: Determine_the_corner_frequencies_and_limiting_horizontal_asymptotes.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clear;\n",
"clc;\n",
"//Example 7.8\n",
"Re=4;\n",
"Rc=2;\n",
"Rs=0.5;\n",
"Vt=0.026;\n",
"Ce=1*10^-3;\n",
"V1=5;\n",
"Icq=1.06;\n",
"V2=-5;\n",
"b=100;\n",
"Vbe=0.7;\n",
"gm=Icq/Vt;\n",
"printf('\ntransconductance =%.2fmA/V\n',gm)\n",
"r=b*Vt/Icq;\n",
"printf('\ndiffusion resistance=%.2f KOhm\n',r)\n",
"Ta=Re*Ce;\n",
"printf('\ntime constant Ta=%ef s\n',Ta)\n",
"Tb=(Re*Ce*(Rs+r))/(Rs+r+(1+b)*Re);\n",
"printf('\ntime constant Tb=%e s\n',Tb)\n",
"fA=1/(2*%pi*Ta);\n",
"printf('\ncorner frequency =%.2fHz\n',fA)\n",
"Tb=2.9*0.01;//msec\n",
"fB=1/(2*%pi*Tb);\n",
"printf('\ncorner frequency =%.2fkHz\n',fB)\n",
"Av=(gm*r*Rc)/(Rs+r+(1+b)*Re);\n",
"printf('\nlimiting low frequency horizontal asymptote=%.2f\n',Av)\n",
"Av=gm*r*Rc/(Rs+r);\n",
"printf('\nnlimiting high frequency horizontal asymptote=%.2f\n',Av)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.9: Determine_3dB_frequency.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clear;\n",
"clc;\n",
"//Example 7.9\n",
"r=2600;\n",
"C1=2*10^-6;\n",
"C2=0.1*10^-6;\n",
"fB=1/(2*%pi*r*(C1+C2));\n",
"printf('\n3dB frequency=%.2f MHz\n',fB)"
   ]
   }
],
"metadata": {
		  "kernelspec": {
		   "display_name": "Scilab",
		   "language": "scilab",
		   "name": "scilab"
		  },
		  "language_info": {
		   "file_extension": ".sce",
		   "help_links": [
			{
			 "text": "MetaKernel Magics",
			 "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
			}
		   ],
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