{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter - 3 : Special-Purpose Diode" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 3.1\n", ": Page No 179" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import division\n", "# Given data\n", "V1 = 18 # in V\n", "V2 = 10 # in V\n", "R = 270 # in ohm\n", "I_S = (V1-V2)/R # in A\n", "V_L = 10 # in V\n", "R_L = 1 # in K ohm\n", "R_L = R_L*1000 # in ohm\n", "I_L = V_L/R_L # in A\n", "I_Z = I_S-I_L # in A\n", "print \"The zener current = %0.1f mA\" %(I_Z*10**3)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The zener current = 19.6 mA\n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 3.5\n", ": Page No 186" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Given data\n", "I_Z = 2*10**-3 # in A\n", "R_Z = 8.5 # in V\n", "del_VL = I_Z*R_Z # in V\n", "V1 = 10 # in V\n", "print \"Change in load voltage = %0.2f V\" %del_VL\n", "V_L = V1 + del_VL # in V\n", "print \"The load voltage = %0.2f V\" %V_L\n", "\n", "# Note: There is calculation error to evaluate the value of del_VL. So the answer in the book is wrong." ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Change in load voltage = 0.02 V\n", "The load voltage = 10.02 V\n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 3.6\n", ": Page No 194" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Given data\n", "R_L = 1.2 # in K ohm\n", "R_L = R_L * 10**3 # in ohm\n", "V_i = 16 # in V\n", "R_i = 1 # in K ohm\n", "R_i = R_i * 10**3 # in ohm\n", "V = (R_L * V_i)/(R_L + R_i) # in V\n", "V_L = V # in V\n", "print \"The load voltage = %0.2f V\" %V_L\n", "V_R = V_i - V_L # in V\n", "print \"The voltage = %0.2f V\" %V_R\n", "I_Z = 0 # A\n", "print \"The zener diode current = %0.f A\" %I_Z\n", "V_Z = 10 # in V\n", "P_Z = V_Z*I_Z # in W\n", "print \"Power dissipation = %0.f watt\" %P_Z" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The load voltage = 8.73 V\n", "The voltage = 7.27 V\n", "The zener diode current = 0 A\n", "Power dissipation = 0 watt\n" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 3.7\n", ": Page No 195" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Given data\n", "I_Z1 = 20 # in mA\n", "I_Z1= I_Z1*10**-3 # in A\n", "I_Z2 = 30 # in mA\n", "I_Z2= I_Z2*10**-3 # in A\n", "V_Z1 = 5.6 # in V\n", "V_Z2 = 5.75 # in V\n", "del_IZ = I_Z2-I_Z1 # in A\n", "del_VZ = V_Z2-V_Z1 # in V\n", "r_Z = del_VZ/del_IZ # in ohm\n", "print \"Resistance of zener diode = %0.f ohm\" %r_Z" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Resistance of zener diode = 15 ohm\n" ] } ], "prompt_number": 5 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 3.8\n", ": Page No 195" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Given data\n", "R = 1 # in K ohm\n", "R = R * 10**3 # in ohm\n", "V_Z = 10 # in V\n", "V_i = 50 # in V\n", "I_ZM = 32 # in mA\n", "I_ZM= I_ZM*10**-3 # in A\n", "R_Lmin = (R*V_Z)/(V_i-V_Z) # in ohm\n", "print \"The minimum value of R_L = %0.f ohm\" %R_Lmin\n", "V_R = V_i-V_Z # in V\n", "I_R = V_R/R # in A\n", "I_Lmin = I_R-I_ZM # in A\n", "print \"The minimum value of I_L = %0.f mA\" %(I_Lmin*10**3)\n", "R_Lmax = V_Z/I_Lmin # in ohm\n", "print \"The maximum value of R_L = %0.2f kohm\" %(R_Lmax*10**-3)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The minimum value of R_L = 250 ohm\n", "The minimum value of I_L = 8 mA\n", "The maximum value of R_L = 1.25 kohm\n" ] } ], "prompt_number": 7 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 3.9\n", ": Page No 196" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Given data\n", "V_Z = 20 # in V\n", "R_L = 1.2 # in K ohm\n", "R_L = R_L * 10**3 # in ohm\n", "R = 220 # in ohm\n", "I_ZM = 60 # in mA\n", "I_ZM= I_ZM*10**-3 # in A\n", "Vi_min = (R_L + R)/R_L*V_Z # in V\n", "print \"The minimum value of Vi = %0.2f V\" %Vi_min\n", "V_L= V_Z # in V\n", "I_L= V_L/R_L # in A\n", "Vi_max= (I_ZM+I_L)*R+V_Z # in V\n", "print \"The maximum value of Vi = %0.2f V\" %Vi_max" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The minimum value of Vi = 23.67 V\n", "The maximum value of Vi = 36.87 V\n" ] } ], "prompt_number": 8 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 3.10\n", ": Page No 197" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Given data\n", "V1 = 18 # in V\n", "V2 = 270 # in V\n", "R = 1 # in K ohm\n", "R = R*1000 # in ohm\n", "V = (V1*R)/(V2+R) # in V\n", "print \"The open circuit voltage = %0.1f volts\" %V\n", "if V>=10 :\n", " print \"The zener diode is operating in the breakdown region.\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The open circuit voltage = 14.2 volts\n", "The zener diode is operating in the breakdown region.\n" ] } ], "prompt_number": 11 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 3.11\n", ": Page No 198" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Given data\n", "R_L = 300 # in ohm\n", "R = 200 # in ohm\n", "V_i = 20 # in V\n", "V = (R_L/(R_L+R))*V_i # in V\n", "print \"The value of V_L = %0.f Volts\" %V\n", "V_L = 10 # in V\n", "V_Z= V_L # in V\n", "I_L = V_L/R_L # A\n", "print \"The value of I_L = %0.2f mA\" %(I_L*10**3)\n", "I_R = (V_i-V_L)/R # in A\n", "print \"The value of I_R = %0.f mA\" %(I_R*10**3)\n", "I_Z = I_R-I_L # in A\n", "print \"The value of I_Z = %0.2f mA\" %(I_Z*10**3)\n", "# Formula V_Z= R_L*V_i/(R_L+R)\n", "R_L= R*V_Z/(V_i-V_Z) # in ohm\n", "print \"The value of R_L = %0.f ohm\" %R_L" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The value of V_L = 12 Volts\n", "The value of I_L = 33.33 mA\n", "The value of I_R = 50 mA\n", "The value of I_Z = 16.67 mA\n", "The value of R_L = 200 ohm\n" ] } ], "prompt_number": 13 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 3.12\n", ": Page No 199" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Given data\n", "V_Z = 5 # in V\n", "I_Zmin = 2 # in mA\n", "I_Zmin= I_Zmin*10**-3 # in A\n", "I_Zmax = 20 # in mA\n", "I_Zmax=I_Zmax*10**-3 # in A\n", "R_L = 1 # in kohm\n", "R_L = R_L * 10**3 # in ohm\n", "I_L = V_Z/R_L # in A\n", "I = I_L + I_Zmin # in A\n", "Vin_min = V_Z + (I*R_L) # in V\n", "print \"The minimum input voltage = %0.f V\" %Vin_min\n", "I = I_L + I_Zmax # in A\n", "Vin_max = V_Z + I* R_L # in V\n", "print \"The maximum input voltage = %0.f V\" %Vin_max" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The minimum input voltage = 12 V\n", "The maximum input voltage = 30 V\n" ] } ], "prompt_number": 14 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 3.13\n", ": Page No 200" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Given data\n", "V_in1 = 18 # in V\n", "V_in2 = 22 # in V\n", "V_o = 6 # in V\n", "I_L = 50 # in mA\n", "I_L= I_L*10**-3 # in A\n", "I_Zmin = 5 # in mA\n", "I_Zmin= I_Zmin*10**-3 # in A\n", "P_Z = 0.5 # in Watt\n", "V_Z= 6 # in V\n", "I_Zmax = P_Z/V_Z # in A\n", "print \"Zener diode current = %0.2f mA\" %(I_Zmax*10**3)\n", "R_S1 = (V_in2 - V_Z)/(I_L+I_Zmax) # in ohm\n", "print \"The minimum value of Rs = %0.f ohm\" %R_S1\n", "R_S2 = (V_in1-V_Z)/(I_L+I_Zmin) # in ohm\n", "print \"The maximum value of Rs = %0.1f ohm\" %R_S2" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Zener diode current = 83.33 mA\n", "The minimum value of Rs = 120 ohm\n", "The maximum value of Rs = 218.2 ohm\n" ] } ], "prompt_number": 16 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 3.14\n", ": Page No 201" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Given data\n", "R_S = 91 # in ohm\n", "V_Z = 8 # in V\n", "P_Z = 400 # in mW\n", "P_Z= P_Z*10**-3 # in W\n", "R_L = 0.22 # in K ohm\n", "R_L = R_L * 10**3 # in ohm\n", "I_L = V_Z/R_L # in A\n", "I_Z = P_Z/V_Z # in A\n", "print \"The value of I_Zmax = %0.f mA\" %(I_Z*10**3)\n", "Vin_min = (V_Z*(R_S+R_L))/R_L # in V\n", "print \"The minimum input voltage = %0.2f V\" %Vin_min\n", "I_R = I_L + I_Z # in A\n", "Vin_max = V_Z + (I_R*R_S) # in V\n", "print \"The maximum input voltage =%0.2f V\" %Vin_max" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The value of I_Zmax = 50 mA\n", "The minimum input voltage = 11.31 V\n", "The maximum input voltage =15.86 V\n" ] } ], "prompt_number": 19 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 3.15\n", ": Page No 202" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Given data\n", "V_L = 12 # in V\n", "I_Lmin = 0 # in mA\n", "I_Lmin =I_Lmin *10**-3 # in A\n", "I_Lmax = 200 # in mA\n", "I_Lmax =I_Lmax *10**-3 # in A\n", "I_Zmin = 5 # in mA\n", "I_Zmin= I_Zmin*10**-3 # in A\n", "I_Zmax = 200 # in mA\n", "I_Zmax= I_Zmax*10**-3 # in A\n", "V_i = 16 # in V\n", "V_Z = V_L # in V\n", "print \"The value of V_Z = %0.f V\" %V_Z\n", "R_Lmin = V_L/I_Lmax # in ohm\n", "print \"The minimum value of R_L = %0.f ohm\" %R_Lmin\n", "# R_L2 = V_L/I_Lmin # in ohm\n", "print \"The maximum value of R_L = infinite\" \n", "I_Z = I_Zmin+I_Zmax # in A\n", "print \"The zener current = %0.f mA\" %(I_Z*10**3)\n", "P_Zmax = V_Z*I_Z # in Watt\n", "print \"The maximum value of Pz = %0.2f Watt\" %P_Zmax\n", "R_S = (V_i-V_L)/(I_Zmin+I_Lmax) # in ohm\n", "print \"The value of R_S = %0.2f ohm\" %R_S" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The value of V_Z = 12 V\n", "The minimum value of R_L = 60 ohm\n", "The maximum value of R_L = infinite\n", "The zener current = 205 mA\n", "The maximum value of Pz = 2.46 Watt\n", "The value of R_S = 19.51 ohm\n" ] } ], "prompt_number": 23 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 3.16\n", ": Page No 203" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Given data\n", "V_in = 20 # in V\n", "R_S = 220 # in ohm\n", "V_Z = 10 # in V\n", "P_Z = 400 # in mW\n", "# Part (I)\n", "R_L = 200 # in ohm\n", "print \"Part (I) For R_L= 200 \u03a9\"\n", "V_L = V_Z # in V\n", "print \"Load voltage = %0.f V\" %V_L\n", "I_L = V_L/R_L # in A\n", "print \"Load current = %0.2f A\" %I_L\n", "I_R = (V_in-V_Z)/R_S # in A\n", "print \"The current through resistor = %0.3f A\" %I_R\n", "I_Z = I_R-I_L # in A\n", "print \"The value of I_Z = %0.2e A\" %I_Z\n", "# Part (II)\n", "R_L = 50 # in ohm\n", "print \"Part (II) For R_L= 50 \u03a9\"\n", "V_L = V_Z #\n", "print \"Load voltage = %0.f V\" %V_L\n", "I_L = V_L/R_L # in A\n", "print \"Load current = %0.1f A\" %I_L\n", "I_R = (V_in-V_Z)/R_S # in A\n", "print \"The current through resistor = %0.3f A\" %I_R\n", "I_Z = I_R-I_L # in A\n", "print \"Zener current = %0.3f A\" %I_Z\n", "print \"For both values of R_L, the current I_R is less than I_L and I_Z is negative.\"\n", "print \"It shows that given circuit can not work successfully as a voltage regulator\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Part (I) For R_L= 200 \u03a9\n", "Load voltage = 10 V\n", "Load current = 0.05 A\n", "The current through resistor = 0.045 A\n", "The value of I_Z = -4.55e-03 A\n", "Part (II) For R_L= 50 \u03a9\n", "Load voltage = 10 V\n", "Load current = 0.2 A\n", "The current through resistor = 0.045 A\n", "Zener current = -0.155 A\n", "For both values of R_L, the current I_R is less than I_L and I_Z is negative.\n", "It shows that given circuit can not work successfully as a voltage regulator\n" ] } ], "prompt_number": 25 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 3.17\n", ": Page No 204" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Given data\n", "I_Zmin = 1 # in mA\n", "I_Zmin=I_Zmin*10**-3 # in A\n", "I_Zmax = 5 # in mA\n", "I_Zmax=I_Zmax*10**-3 # in A\n", "I_Lmin = 0 # in mA\n", "I_Lmin=I_Lmin*10**-3 # in A\n", "I_Lmax = 4 # in mA\n", "I_Lmax=I_Lmax*10**-3 # in A\n", "R = 5 # in kohm\n", "R = R * 10**3 # in ohm\n", "V_Z = 50 # in V\n", "print \"Part (A)\"\n", "V_max = (I_Zmax+ I_Lmin)*R+V_Z # in V\n", "print \"The maximum Voltage = %0.f V\" %V_max\n", "V_min = (I_Zmin+I_Lmax)*R + V_Z # in V\n", "print \"The minimum Voltage = %0.f V\" %V_min\n", "print \"Part (B)\"\n", "V_L = 50 # in V\n", "V_in = 75 # in V\n", "R_L = 15 # in kohm\n", "R_L= R_L*10**3 # in ohm\n", "I_L = V_L/R_L # in A\n", "V_max = (I_Zmax+I_L)*R+V_Z # in V\n", "print \"The maximum Voltage = %0.f V\" %round(V_max)\n", "V_min = (I_Zmin+I_L)*R+V_Z # in V\n", "print \"The minimum Voltage = %0.f V\" %round(V_min)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Part (A)\n", "The maximum Voltage = 75 V\n", "The minimum Voltage = 75 V\n", "Part (B)\n", "The maximum Voltage = 92 V\n", "The minimum Voltage = 72 V\n" ] } ], "prompt_number": 27 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 3.18\n", ": Page No 205" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Given data\n", "V_S = 7.5 # in V\n", "V_Z = 5 # in V\n", "R_S = 4.75 # in ohm\n", "I_Zmin= 0.05 # in A\n", "I_Zmax=1.0 # in A\n", "I_S = (V_S-V_Z)/R_S # in A\n", "I_Lmax= I_S-I_Zmin # in A\n", "print \"The maximum value of load current = %0.3f A\" %I_Lmax\n", "# when\n", "V_S= 10 # in V\n", "I_S = (V_S-V_Z)/R_S # in A\n", "I_Lmin= I_S-I_Zmax # in A\n", "print \"The minimum value of load current = %0.2f A\" %I_Lmin\n", "print \"Thus, the range of load current for regulation =\",round(I_Lmin,2),\"<= I_L <=\",round(I_Lmax,3),\"A\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The maximum value of load current = 0.476 A\n", "The minimum value of load current = 0.05 A\n", "Thus, the range of load current for regulation = 0.05 <= I_L <= 0.476 A\n" ] } ], "prompt_number": 32 } ], "metadata": {} } ] }