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diff --git a/Electronic_Devices_and_Circuits/Chapter17_1.ipynb b/Electronic_Devices_and_Circuits/Chapter17_1.ipynb new file mode 100755 index 00000000..0bf01537 --- /dev/null +++ b/Electronic_Devices_and_Circuits/Chapter17_1.ipynb @@ -0,0 +1,560 @@ +{
+ "metadata": {
+ "name": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 17 : Active filters"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.1, Page No 716"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#initialisation of variables\n",
+ "\n",
+ "rs=600.0\n",
+ "R1=12.0*10**3\n",
+ "Rl=100.0*10**3\n",
+ "C1=0.013*10**-6\n",
+ "\n",
+ "#Calculations\n",
+ "print(\"when Rl is not connected\")\n",
+ "fc=1.0/(2*3.14*R1*C1)\n",
+ "print(\" when Rl is connected\")\n",
+ "fc=1.0/(2*3.14*((R1*Rl)/(R1+Rl))*C1)\n",
+ "Attn=3#at fc attenuation is =3dB\n",
+ "falloffrate=6\n",
+ "print(\"attenuation at 2fc\")\n",
+ "Attn=3+6\n",
+ "print(\"attenuation at 2fc is %ddB \" %Attn)\n",
+ "Attn=3+6+6\n",
+ "\n",
+ "#Results\n",
+ "print(\" attenuation at 4fc is %ddB \" %Attn)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "when Rl is not connected\n",
+ " when Rl is connected\n",
+ "attenuation at 2fc\n",
+ "attenuation at 2fc is 9dB \n",
+ " attenuation at 4fc is 15dB \n"
+ ]
+ }
+ ],
+ "prompt_number": 16
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.2, Page No 718"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#initialisation of variables\n",
+ "Ib=500.0*10**-9\n",
+ "f=1.0*10**3\n",
+ "\n",
+ "#Calculations\n",
+ "R1=(70.0*10**-3)/Ib\n",
+ "R1=140*10**3#use standard value\n",
+ "R2=R1\n",
+ "C1=(1/(2*3.14*R1*f))*10**12\n",
+ "\n",
+ "#Results\n",
+ "print(\" capacitor used is of %.2f pF \" %C1)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " capacitor used is of 1137.40 pF \n"
+ ]
+ }
+ ],
+ "prompt_number": 17
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.3 Page No 719"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#initialisation of variables\n",
+ "\n",
+ "print(\"first order high pass active filter\")\n",
+ "f=5.0*10**3\n",
+ "C1=1000.0*10**-12\n",
+ "fu=1.0*10**6\n",
+ "\n",
+ "#Calculations\n",
+ "R1=1.0/(2*3.14*f*C1)\n",
+ "BW=fu-f\n",
+ "print(\" bandwidth is %.2f kHz \" %(BW/1000))"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "first order high pass active filter\n",
+ " bandwidth is 995.00 kHz \n"
+ ]
+ }
+ ],
+ "prompt_number": 18
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.4, Page No 724"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#initialisation of variables\n",
+ "\n",
+ "f=1.0*10**3\n",
+ "Ib=500.0*10**-9\n",
+ "print(\"butterworth second order filter\")\n",
+ "\n",
+ "#Calculations\n",
+ "R=(70.0*10**-3)/Ib\n",
+ "R1=R/2.0\n",
+ "R1=68.1*10**3#use standard value\n",
+ "R2=R1 \n",
+ "R3=2.0*R1\n",
+ "Xc1=math.sqrt(2)*R2\n",
+ "C1=1/(2*3.14*f*math.sqrt(2)*R2)\n",
+ "C2=2*C1\n",
+ "fc=1/(2*3.14*(math.sqrt(R1*R2*C1*C2)))\n",
+ "\n",
+ "#Results\n",
+ "print(\"actual cutoff frequency is %d kHz \" %(fc/1000))"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "butterworth second order filter\n",
+ "actual cutoff frequency is 1 kHz \n"
+ ]
+ }
+ ],
+ "prompt_number": 19
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.5 Page No 725"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#initialisation of variables\n",
+ "\n",
+ "f=12.0*10**3\n",
+ "C1=1000.0*10**-12\n",
+ "print(\"butterworth second order filter\")\n",
+ "C2=C1\n",
+ "\n",
+ "#Calculations\n",
+ "R2=(math.sqrt(2))/(2*3.14*f*C1)\n",
+ "R1=.5*R2\n",
+ "R3=R2\n",
+ "fc=1.0/(2*3.14*(math.sqrt(R1*R2*C1*C2)))\n",
+ "\n",
+ "#Results\n",
+ "print(\"actual cutoff frequency is %d KHz \" %(fc/1000))"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "butterworth second order filter\n",
+ "actual cutoff frequency is 11 KHz \n"
+ ]
+ }
+ ],
+ "prompt_number": 20
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.6 Page No 729"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#initialisation of variables\n",
+ "f=30.0*10**3\n",
+ "C1=1000.0*10**-12\n",
+ "print(\" third order low pass filter\")\n",
+ "print(\"-20 dB per decade stage\")\n",
+ "\n",
+ "#Calculations\n",
+ "fc1=f/.65\n",
+ "R1=1.0/(2*3.14*fc1*C1)\n",
+ "R2=R1\n",
+ "print(\"-40dB per decade stage\")\n",
+ "C3=1000*10**-12\n",
+ "C2=2*C3\n",
+ "fc2=f/.8\n",
+ "R4=1/(2*3.14*fc2*C3*(math.sqrt(2)))\n",
+ "R3=R4\n",
+ "R5=R3+R4\n",
+ "\n",
+ "#Results\n",
+ "print(\"The value of R5 is %.2f kohm\" %(R5/1000))"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " third order low pass filter\n",
+ "-20 dB per decade stage\n",
+ "-40dB per decade stage\n",
+ "The value of R5 is 6.01 kohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 21
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.7, Page No 730"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#initialisation of variables\n",
+ "\n",
+ "f=20.0*10**3\n",
+ "print(\"3rd order high pass filter\")\n",
+ "print(\"-20dB per decade stage\")\n",
+ "R1=121.0*10**3\n",
+ "\n",
+ "#Calculations\n",
+ "fc1=.65*f\n",
+ "C1=1/(2*3.14*fc1*R1)\n",
+ "#this is so small it might be effected by stray capacitor.redesign %first choosing a suitable capacitance C1\n",
+ "C1=100*10**-12\n",
+ "R1=1/(2*3.14*f*C1)\n",
+ "R2=R1\n",
+ "print(\"-40dB per decade stage\")\n",
+ "C3=1000*10**-12\n",
+ "R4=(math.sqrt(2))/(2*3.14*.8*f*C3)\n",
+ "C2=C3\n",
+ "R3=.5*R4\n",
+ "R5=R4\n",
+ "\n",
+ "#Results\n",
+ "print(\"The value of R5 is %.2f kohm\" %(R5/1000))"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "3rd order high pass filter\n",
+ "-20dB per decade stage\n",
+ "-40dB per decade stage\n",
+ "The value of R5 is 14.07 kohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 22
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.8 Page No 734"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math \n",
+ "\n",
+ "#initialisation of variables\n",
+ "f1=300.0\n",
+ "f2=30.0*10**3\n",
+ "print(\" single stage band pass filter\")\n",
+ "\n",
+ "#Calculations\n",
+ "C2=1000*10**-12\n",
+ "R2=1/(2*3.14*f2*C2)\n",
+ "R1=R2\n",
+ "Xc1=R1#at voltage gain Av=1\n",
+ "C1=1/(2*3.14*f1*R1)\n",
+ "R3=R2\n",
+ "\n",
+ "#Results\n",
+ "print(\"The value of R3 is %.2f kohm\" %(R3/1000))"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " single stage band pass filter\n",
+ "The value of R3 is 5.31 kohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 23
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.9 Page No 736"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#initialisation of variables\n",
+ "\n",
+ "f1=300.0\n",
+ "f2=30.0*10**3\n",
+ "\n",
+ "#Calculations\n",
+ "fo=math.sqrt(f1*f2)\n",
+ "BW=f2-f1\n",
+ "Q=fo/BW\n",
+ "\n",
+ "#Results\n",
+ "print(\"The value of Q is %.2f \" %(Q))"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The value of Q is 0.10 \n"
+ ]
+ }
+ ],
+ "prompt_number": 24
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.10 Page No 737"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#initialisation of variables\n",
+ "\n",
+ "R1=60.4*10**3\n",
+ "R4=1.21*10**3\n",
+ "C=.012*10**-6\n",
+ "R2=121.0*10**3\n",
+ "\n",
+ "#Calculations\n",
+ "Q=math.sqrt((R1+R4)/(2*R4))\n",
+ "fo=Q/(3.14*C*R2)\n",
+ "print(\" center frequency is %3.2fHz \" %fo)\n",
+ "BW=fo/Q\n",
+ "\n",
+ "#Results\n",
+ "print(\" bandwidth is %3.1fHz \" %BW)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " center frequency is 1106.68Hz \n",
+ " bandwidth is 219.3Hz \n"
+ ]
+ }
+ ],
+ "prompt_number": 25
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.12, Page No 744"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#initialisation of variables\n",
+ "f1=10.3*10**3\n",
+ "f2=10.9*10**3\n",
+ "C1=1000.0*10**-12\n",
+ "\n",
+ "#Calculations\n",
+ "C2=C1\n",
+ "fo=math.sqrt(f1*f2)\n",
+ "R5=1.0/(2*3.14*fo*C1)\n",
+ "R1=R5\n",
+ "Q=fo/(f2-f1)\n",
+ "R2=R1*(2*Q-1)\n",
+ "\n",
+ "#Results\n",
+ "print(\"The value of R2 is %.2f kohm\" %(R2/1000))"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The value of R2 is 515.76 kohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 26
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.13, Page No 750"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#initialisation of variables\n",
+ "f1=10.3*10**3\n",
+ "f2=10.9*10**3\n",
+ "Hobp=34\n",
+ "\n",
+ "#Calculations\n",
+ "math.sqrt(f1*f2)\n",
+ "Q=fo/(f2-f1)\n",
+ "R3=120.0*10**3\n",
+ "R2=R3/Q\n",
+ "R1=R3/Hobp\n",
+ "k=50*fo\n",
+ "\n",
+ "#Results\n",
+ "print(\"The value of k is %.2f \" %(k/1000))"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The value of k is 529.79 \n"
+ ]
+ }
+ ],
+ "prompt_number": 27
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
\ No newline at end of file |