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diff --git a/Microwave_Engineering_by_G._S._Raghuvanshi/Ch5.ipynb b/Microwave_Engineering_by_G._S._Raghuvanshi/Ch5.ipynb new file mode 100644 index 00000000..b1441f3d --- /dev/null +++ b/Microwave_Engineering_by_G._S._Raghuvanshi/Ch5.ipynb @@ -0,0 +1,1034 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:a5e82465bfb623eb9318715f7f52014da580babc1cb20ec72de42ac065345041" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Ch-5 : Microwave tubes Klystrons" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Pages Number: 288 Example 5.1" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from __future__ import division \n", + "from math import sqrt, pi\n", + "#Given\n", + "f=10e9 #Hz\n", + "v=9e3 #V\n", + "i=40e-3 #A\n", + "l=3 #cm\n", + "l1=l/100 #m\n", + "G=2e-6 #mho\n", + "bet=0.92 \n", + "j1x=0.582 \n", + "x=1.841 \n", + "ebym=1.7e11 #J\n", + "\n", + "#Maximum voltage\n", + "w=2*pi*f \n", + "v0x=sqrt(2*ebym) \n", + "thet=(w*l1)/(v0x*sqrt(v)) \n", + "\n", + "av=(bet**2*thet*i*j1x)/(x*v*G) \n", + "print 'Maximum voltage:%0.3f'%av,'V'\n", + "\n", + "#Power Gain\n", + "ic=2*i*j1x \n", + "v2=(bet*ic)/G \n", + "pout=bet*ic*v2 \n", + "pin=2*i*v \n", + "\n", + "#Efficiency\n", + "eet=pout/pin \n", + "print 'Power gain: %0.3f'%(eet*100), '%'\n", + "\n", + "#Answer for effciency comes out to be wrong, it is calculted wrongly in book" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Maximum voltage:20.262 V\n", + "Power gain: 127.420 %\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Page Number: 288 Example 5.2" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "#Given\n", + "l=2 #cm\n", + "l1=l/100 #m\n", + "f=5e9 #Hz\n", + "i=25e-3 #A\n", + "n=21/4 \n", + "e=1.6e-19 \n", + "m=9.1e-31 \n", + "thetag=0 \n", + "bet=1 \n", + "j1x=0.582 \n", + "x=1.841 \n", + "\n", + "#(i) Beam Voltage\n", + "v0=(m*l1*l1*f*f)/(2*e*n*n) \n", + "print 'Beam voltage: %0.3f'%v0, 'V'\n", + "\n", + "#(ii) Input voltage\n", + "v1=x*v0/(pi*bet*n) \n", + "print 'Input voltage: %0.3f'%v1,'V'\n", + "\n", + "#(iii) Output voltage\n", + "v2=0.25*v0 \n", + "print 'Output voltage %0.3f'%v2,'V'\n", + "\n", + "#(iv) Power output\n", + "pmax=i*v0*j1x \n", + "print 'Maximum power output: %0.3f'%pmax, 'W'\n", + "\n", + "#(v) Efficiency\n", + "eet=j1x*bet*v2/v0 \n", + "print 'Efficiency:' ,eet*100,'%'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Beam voltage: 1031.746 V\n", + "Input voltage: 115.164 V\n", + "Output voltage 257.937 V\n", + "Maximum power output: 15.012 W\n", + "Efficiency: 14.55 %\n" + ] + } + ], + "prompt_number": 20 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Page Number: 289 Example 5.3" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import sin\n", + "#Given\n", + "r0=45e3 #W\n", + "j0=25e-3 #A\n", + "V=1500 #V\n", + "f=5e9 #hz\n", + "d=1 #mm\n", + "d1=d/1000 #m\n", + "l=3.5 #cm\n", + "l1=l/100 #m\n", + "rsh=32e3 #ohms\n", + "j1x=0.582 \n", + "x=1.841 \n", + "\n", + "#(i) Input gap voltage\n", + "w=2*pi*f \n", + "v0=(5.93e5*sqrt(V)) \n", + "thetag=(w*d1)/v0 \n", + "bet=sin(thetag/2)/(thetag/2) \n", + "theta0=(w*l1)/v0 \n", + "v1=(2*V*x)/(bet*theta0) \n", + "print 'Input gap voltage: %0.3f'%v1\n", + "\n", + "#(ii) Voltage gain\n", + "av=(bet**2*theta0*j1x*rsh)/(r0*x) \n", + "print 'Voltage gain %0.3f'% av" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Input gap voltage: 124.871\n", + "Voltage gain 9.186\n" + ] + } + ], + "prompt_number": 22 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Page Number: 290 Example 5.4" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import cos\n", + "#Given\n", + "V=1000 #V\n", + "r0=40e3 #ohm\n", + "i0=25e-3 #A\n", + "f=3e9 #Hz\n", + "d=1 #mm\n", + "d1=d/1000 #m\n", + "l=4 #cm \n", + "l1=4/100 #m\n", + "j1x=0.582 \n", + "x=1.841 \n", + "rsh=30e3 #ohm\n", + "\n", + "#(i) Input gap voltage\n", + "w=2*pi*f \n", + "v0=(5.93e5*sqrt(V)) \n", + "thetag=(w*d1)/v0 \n", + "bet=sin(thetag/2)/(thetag/2) \n", + "theta0=(w*l1)/v0 \n", + "vmax=(2*V*x)/(bet*theta0) \n", + "print 'Input gap voltage: %0.3f'%vmax, 'V'\n", + "\n", + "#(ii) Voltage gain\n", + "av=(bet*bet*theta0*j1x*rsh)/(r0*x) \n", + "print 'Voltage gain: %0.3f'%av\n", + "\n", + "#(iii) Efficiency\n", + "v2=bet*2*i0*j1x*rsh \n", + "eet=(bet*2*i0*j1x*v2)/(2*i0*V) \n", + "print 'Efficiency: %0.3f'%(eet*100),'%'\n", + "\n", + "#(iv) Beam loading conductance\n", + "gbl=(i0/(2*V))*((bet*bet)-(bet*cos(thetag/2))) \n", + "print 'Beam loading conductance:%0.3e'%gbl\n", + "\n", + "#Answer for beam loading conductance is calculated wrong in book" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Input gap voltage: 95.547 V\n", + "Voltage gain: 8.757\n", + "Efficiency: 46.672 %\n", + "Beam loading conductance:9.835e-07\n" + ] + } + ], + "prompt_number": 27 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Page Number: 291 Example 5.5" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "#Given\n", + "f=3e9 #hz\n", + "v=900 #V\n", + "i=30e-3 #A\n", + "d=4 #cm\n", + "d1=d/100 #m\n", + "gap=1 #mm\n", + "gap1=1/1000 #m\n", + "rsh=40e3 #ohm\n", + "x=1.841 \n", + "j1x=0.582 \n", + "r=40e3 #ohm\n", + "ebym=1.758e11 #J\n", + "\n", + "#(i) Electron velocity\n", + "v0=sqrt(2*ebym*v) \n", + "print 'Electron velocity: %0.3f'%v0,'m/s'\n", + "\n", + "#(ii) Electron transit time\n", + "t=d1/v0 \n", + "print 'Electron transit time: %0.3f'%t,'s'\n", + "\n", + "#(iii) Input voltage gap\n", + "w=2*pi*f \n", + "theta0=(w*d1)/v0 \n", + "thetag=(w*gap1)/v0 \n", + "bet=sin(thetag/2)/(thetag/2) \n", + "v2=(2*v*x)/(bet*theta0) \n", + "print 'Input voltage gap: %0.3f'%v2, 'V'\n", + "\n", + "#(iv) Voltage gain\n", + "av=(bet**2*theta0*j1x*rsh)/(x*r) \n", + "print 'Voltage gain: %0.3f'%av\n", + "\n", + "#Values of v and f are changed in question and answer, hence vaules used in answer are taken.\n", + "#Also second part has not been done in book" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Electron velocity: 17788760.496 m/s\n", + "Electron transit time: 0.000 s\n", + "Input voltage gap: 81.964 V\n", + "Voltage gain: 12.192\n" + ] + } + ], + "prompt_number": 28 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Page Number: 292 Example 5.6" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import sqrt, log10 \n", + "#Given\n", + "f=8e9 #hz\n", + "i=2.5 #A\n", + "v=20e3 #V\n", + "bet=1 \n", + "amp=10*sqrt(2) #V\n", + "rsh=10e3 #ohm\n", + "rsho=30e3 #ohm\n", + "dc=1e-6 #c/m**3\n", + "rf=0.5 \n", + "e=1.6e-19 \n", + "ee=8.854e-12 \n", + "m=9.1e-31 #kg\n", + "\n", + "#(i) Induced current\n", + "w=2*pi*f \n", + "wq=rf*sqrt((e*dc)/(m*ee)) \n", + "\n", + "#Amplitude of induced current\n", + "ic=(i*w*(bet**2)*amp)/(2*v*wq) \n", + "print 'Induced current: %0.3f'%ic,'A'\n", + "\n", + "#Induced voltage\n", + "icrms=ic/sqrt(2) \n", + "v2rms=icrms*rsho \n", + "print 'Induced voltage: %0.3f'%v2rms,'V'\n", + "\n", + "#(ii) Power gain\n", + "pg=(((i*w)**2)*(bet**4)*rsh*rsho)/(4*((v*wq)**2)) \n", + "pgdb=10*log10(pg) \n", + "print 'Power gain: %0.3f'%pgdb,'dB'\n", + "\n", + "#(iii) Electronic efficiency\n", + "eeta=((icrms**2)*rsho)/(i*v) \n", + "print 'Electronic efficiency: %0.3f'%(eeta*100),'%'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Induced current: 0.631 A\n", + "Induced voltage: 13376.164 V\n", + "Power gain: 57.755 dB\n", + "Electronic efficiency: 11.928 %\n" + ] + } + ], + "prompt_number": 29 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Page Number: 294 Example 5.7" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "#Given\n", + "f=3e9 #hz\n", + "l=4 #cm\n", + "l1=4/100 #m\n", + "d=0.1 #cm\n", + "d1=d/100 #m\n", + "V=900 #V\n", + "i0=30e-3 #A\n", + "rsh=25e3 #ohm\n", + "x=1.841 \n", + "j1x=0.582 \n", + "\n", + "#(i) Input voltage for maximum output\n", + "v0=0.593e6*sqrt(V) \n", + "w=2*pi*f \n", + "theta0=w*l1/v0 #rad\n", + "thetag=w*d1/v0 #rad\n", + "bet=sin(thetag/2)/(thetag/2) \n", + "v1max=2*V*x/(bet*theta0) #v\n", + "print 'Input voltage for maximum output: %0.3f'%v1max,'V'\n", + "\n", + "#(ii) Voltage gain\n", + "r0=V/i0 #ohm\n", + "av=((bet**2)*theta0*j1x*rsh)/(x*r0) #V\n", + "print 'Voltage gain: %0.3f'%av, 'V'\n", + "\n", + "#(iii) Efficiency\n", + "ic=2*i0*j1x #A\n", + "v2=bet*ic*rsh #V\n", + "eet=bet*ic*v2/(2*i0*V) \n", + "print 'Efficiency: %0.3f'%(eet*100), '%'\n", + "\n", + "#(iv) Beam loading conductance\n", + "gb=(i0/(V*2))*(bet**2-(bet*cos(thetag/2))) #ohm\n", + "print 'Beam loading conductance: %0.3e'%gb,'ohm'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Input voltage for maximum output: 81.969 V\n", + "Voltage gain: 10.159 V\n", + "Efficiency: 51.366 %\n", + "Beam loading conductance: 1.446e-06 ohm\n" + ] + } + ], + "prompt_number": 30 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Page Number: 295 Example 5.8" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "#Given\n", + "f=5e9 #hz\n", + "v0=10e3 #V\n", + "d=1 #mm\n", + "d1=d/1000 #m\n", + "v1=100 #V\n", + "\n", + "#(i) Gap transit time\n", + "vv0=0.593e6*sqrt(v0) #m/sec\n", + "tau=d1/vv0 #sec\n", + "print 'Gap transit time: %0.3e'%tau,'sec'\n", + "\n", + "#Gap transit angle\n", + "w=2*pi*f \n", + "thetag=w*tau #rad\n", + "print 'Gap transit angle: %0.3f'%thetag, 'rad'\n", + "\n", + "#(ii) Beam coupling coefficient\n", + "betin=sin(thetag/2)/(thetag/2) \n", + "print 'Beam coupling coefficient: %0.3f'%betin\n", + "\n", + "#(iii) Velocity of electron leaving buncher gap\n", + "vig=vv0*(1+((betin*v1)/(2*v0))) #m/sec\n", + "print 'Velocity of electron leaving buncher gap: %0.3f'%vig, 'm/sec'\n", + "\n", + "#(iv) Depth of modulation\n", + "m=betin*v1/v0 \n", + "print 'Depth of modulation: %0.3f'%m" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Gap transit time: 1.686e-11 sec\n", + "Gap transit angle: 0.530 rad\n", + "Beam coupling coefficient: 0.988\n", + "Velocity of electron leaving buncher gap: 59593044.746 m/sec\n", + "Depth of modulation: 0.010\n" + ] + } + ], + "prompt_number": 33 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Page Number: 296 Example 5.9" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "#Given\n", + "f=10e9 #hz\n", + "v0=15e3 #V\n", + "i0=2.5e-3 #A\n", + "d=1 #cm\n", + "d1=d/100 #m\n", + "vrms=10 #V\n", + "bet=1 \n", + "p=1e-8 #C/m**3\n", + "rf=0.6 \n", + "e=1.6e-19 \n", + "m=9.1e-31 \n", + "ee=8.854e-12 \n", + "\n", + "#(i) DC electron beam phase cobstant\n", + "vv0=(0.593e6*sqrt(v0)) \n", + "w=2*pi*f \n", + "bete=w/vv0 #rad/m\n", + "print 'DC electron beam phase constant: %0.3f'%bete,'rad/m'\n", + "\n", + "#(ii) Reduced plasma frequency and reduced plasma phase constant\n", + "wq=rf*sqrt(e*p/(m*ee)) #rad/m\n", + "print 'Reduced plasma frequency: %0.3f'%wq,'rad/m'\n", + "betq=wq/vv0 #rad/sec\n", + "print 'Reduced plasma phase constant: %0.3f'%betq,'rad/sec'\n", + "\n", + "#(iii) Gap transit time\n", + "tau=d1/vv0 #sec\n", + "vtg=vv0*(1+(bet*vrms*sin(w*tau)/(2*v0))) #m/sec\n", + "print 'Gap transit time: %0.3f'%vtg, 'm/sec'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "DC electron beam phase constant: 865.126 rad/m\n", + "Reduced plasma frequency: 8455139.683 rad/m\n", + "Reduced plasma phase constant: 0.116 rad/sec\n", + "Gap transit time: 72644284.673 m/sec\n" + ] + } + ], + "prompt_number": 37 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Page Number: 296 Example 5.10" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "#Given\n", + "f=4e9 #hz\n", + "v0=10e3 #V\n", + "i0=0.75 #A\n", + "v1=2 #V\n", + "bet=1 \n", + "rsh=10e3 #ohm\n", + "p=5e-5 #C/m**3\n", + "r=0.6 \n", + "rsht=4e3 #ohm\n", + "e=1.6e-19 \n", + "m=9.1e-31 \n", + "ee=8.854e-12 \n", + "\n", + "#(i) Induced current and voltage in output cavity\n", + "w1=sqrt(e*p/(m*ee)) #rad/sec\n", + "w=2*pi*f \n", + "wq=0.5*w1 #rad/sec\n", + "rr=w/wq \n", + "\n", + "i4=((i0**3)*(rr**3)*(bet**6)*v1*(rsh**2))/(8*(v0**3)) #A\n", + "print 'Induced current: %0.3f'%i4,'A'\n", + "v4=i4*rsht #V\n", + "print 'Induced voltage: %0.3f'%(v4/1000), 'kV'\n", + "\n", + "#(ii) Power output\n", + "pout=(i4**4)*rsht #W\n", + "print 'Power output: %0.3f'%pout, 'W'\n", + "\n", + "#Answer for Pout should be 13.43 kW but it is given as 10.89kW as value of I4 is calculated as 1.289 but it comes out to be 1.35" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Induced current: 1.354 A\n", + "Induced voltage: 5.415 kV\n", + "Power output: 13438.135 W\n" + ] + } + ], + "prompt_number": 40 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Page Number: 297 Example 5.9" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "#Given\n", + "f=8e9 #hz\n", + "v0=500 #V\n", + "l=1.2 #mm\n", + "l1=l/1000 #m\n", + "rsh=18e3 #ohm\n", + "ebym=1.759e11 \n", + "ee=8.854e-12 \n", + "\n", + "#(i) Repeller voltage\n", + "n=1+(3/4) \n", + "v11=(ebym*n*n)/(8*(l1**2)*(f**2)) \n", + "vr=sqrt(v0/v11)-v0 \n", + "print 'Repeller voltage: %0.3f'%vr,'V'\n", + "\n", + "#(ii) Required dc current\n", + "v2=200 #V\n", + "j1x=0.582 \n", + "i=v2/(2*rsh*j1x) #A\n", + "print 'Required dc current: %0.3f'%(i*1000), 'mA'\n", + "\n", + "#Answer for repeller voltage is calculated wrong in book" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Repeller voltage: 327.238 V\n", + "Required dc current: 9.546 mA\n" + ] + } + ], + "prompt_number": 42 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Page Number: 298 Example 5.12" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "#Given\n", + "f=9e9 #hz\n", + "v0=361 #V\n", + "i0=30e-3 #A\n", + "l=0.1 #cm\n", + "l1=l/100 #m\n", + "x=2.408 \n", + "j1x=0.582 \n", + "ebym=1.759e11 \n", + "\n", + "#Maximum power output\n", + "n=1 \n", + "pout=2*i0*v0*x*j1x/(2*pi*(n+(3/4))) #W\n", + "print 'Maximum power output: %0.3f'%pout,'W'\n", + "\n", + "#Operating repeller voltage\n", + "vr=((6.744e-6*sqrt(v0)*l1*f)/(n+(3/4)))-v0 #v\n", + "print 'Operating repeller voltage: %0.3f'%vr,'V'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Maximum power output: 2.761 W\n", + "Operating repeller voltage: 297.985 V\n" + ] + } + ], + "prompt_number": 44 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Page Number: 298 Example 5.13" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "#Given\n", + "f=9e9 #hz\n", + "v0=250 #V\n", + "l=0.5 #cm\n", + "l1=l/100 #m\n", + "\n", + "#Bandwidth\n", + "n=3 \n", + "df=(n+(3/4))/(6.774e-6*l1*sqrt(v0)) #hz\n", + "print 'Bandwidth: %0.3f'%(df/10**6),'Mhz'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Bandwidth: 7.002 Mhz\n" + ] + } + ], + "prompt_number": 45 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Page Number: 299 Example 5.14" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "#Given\n", + "f=10e9 #hz\n", + "v0=600 #V\n", + "vr=250 #V\n", + "ebym=1.759e11 \n", + "\n", + "#Repeller space\n", + "n=1 \n", + "l=sqrt((ebym*(n+(3/4))**2*(vr+v0)**2)/(8*f**2*v0)) #m\n", + "print 'Repeller space: %0.3f'%(l*1000),'mm'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Repeller space: 0.900 mm\n" + ] + } + ], + "prompt_number": 46 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Page Number: 299 Example 5.15" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "#Given\n", + "v0=300 #V\n", + "i0=20e-3 #A\n", + "v1=40 #V\n", + "n=2 \n", + "x=2.408 \n", + "j1x=0.52 \n", + "\n", + "#(i) Input power\n", + "pin=i0*v0 #W\n", + "print 'Input power:' ,pin,'W'\n", + "\n", + "#(ii) Output power\n", + "pout=(2*v0*i0*x*j1x)/((2*pi*n)-(pi/2)) #W\n", + "print 'Output power: %0.3f'%pout, 'W'\n", + "\n", + "#Efficiency\n", + "eet=pout/pin \n", + "print 'Efficiency: %0.3f'%(eet*100), '%'\n", + "\n", + "#Answer for output power in book is 0.7 which is wrong, it should be 1.3W\n", + "#Hence answer of efficiency also changes" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Input power: 6.0 W\n", + "Output power: 1.367 W\n", + "Efficiency: 22.776 %\n" + ] + } + ], + "prompt_number": 47 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Page Number: 300 Example 5.16" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "#Given\n", + "f=10e9 #hz\n", + "v0=600 #V\n", + "l=0.1 #cm\n", + "l1=l/100 #m\n", + "bet=0.9 \n", + "ebym=1.759e11 \n", + "n=2 \n", + "j1x=0.575 #from standard table\n", + "\n", + "\n", + "#(i) Repeller voltage\n", + "vr=((6.744e-6*sqrt(v0)*l1*f)/(n-(1/4)))-v0 #V\n", + "print 'Repeller voltage:',round(vr), 'V'\n", + "\n", + "#(ii) Bunching parameter\n", + "v1=200 #V\n", + "x=bet*v1*2*pi*(n-(1/4))/(2*v0) \n", + "print 'Bunching parameter: %0.3f'%x\n", + "\n", + "#(iii) Required DC current\n", + "rsh=20e3 #ohm\n", + "i=v1/(2*rsh*j1x) #A\n", + "print 'Required DC current: %0.3f'%(i*1000),'mA'\n", + "\n", + "#(iv) Electronic efficiency\n", + "eet=2*x*j1x/(2*pi*(n-(1/4))) \n", + "print 'Electronic efficiency:',eet*100, '%'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Repeller voltage: 344.0 V\n", + "Bunching parameter: 1.649\n", + "Required DC current: 8.696 mA\n", + "Electronic efficiency: 17.25 %\n" + ] + } + ], + "prompt_number": 48 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Page Number: 301 Example 5.17" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "#Given\n", + "f=10e9 #hz\n", + "v0=300 #V\n", + "j0=0.3 #A/cm\n", + "i0=45e-3 #A\n", + "\n", + "rb=sqrt(i0/(pi*j0)) #mm\n", + "print 'Electron beam radius: %0.3f'%(rb*10),'mm'\n", + "r=rb*(120/100) #mm\n", + "print 'Radius of cathode disc:%0.3f'%(r*10),'mm'\n", + "d=sqrt(2.335e-6*(300)**(3/2)/j0) #mm\n", + "print 'Cathode anode spacing: %0.3f'%(d*10),'mm'\n", + "#Anode hole has to be 15% larger than cathode disc\n", + "ra=r*1.15 #mm\n", + "print 'Anode hole: %0.3f'%(ra*10),'mm'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Electron beam radius: 2.185 mm\n", + "Radius of cathode disc:2.622 mm\n", + "Cathode anode spacing: 2.011 mm\n", + "Anode hole: 3.015 mm\n" + ] + } + ], + "prompt_number": 49 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Page Number: Example 5.18" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import tan, exp\n", + "#Given\n", + "f=9e9 #hz\n", + "v0=300 #V\n", + "vr=125 #V\n", + "bet=0.9 \n", + "c=3e8 #m/s\n", + "w=2*pi*f \n", + "br=2.18 #mm\n", + "e0=8.854e-12 \n", + "ebym=1.7e11 \n", + "\n", + "#From sin(theta)/theta table, thetag is found out to be\n", + "thetag=0.25*pi \n", + "d=(2*thetag*0.593e6*sqrt(v0))/w \n", + "print 'Distance: %0.3f'%(d*1000),'mm'\n", + "\n", + "#Axial cavity length\n", + "l=c/(10*f) #m\n", + "print 'Axial cavity length: %0.3f'%(l*1000),'mm'\n", + "\n", + "#Ratio of outer to inner conductor\n", + "a=1.5*br \n", + "a1=a/1000 \n", + "x=d/(w*e0*a1*a1*60*tan((w*l)/c)) \n", + "bbya=exp(x) \n", + "print 'Ratio of outer to inner conductor: %0.3f'%bbya\n", + "\n", + "#radii of outer and inner conductor\n", + "print 'Radius of outer conductor:',a, 'mm'\n", + "\n", + "b=1.52*a #mm\n", + "print 'Radius of inner conductor:' ,b,'mm'\n", + "\n", + "#Repeller spacing\n", + "lopt=sqrt(ebym*(19/4)**2*(v0+vr)**2/(8*f**2*v0)) #m\n", + "print 'Repeller spacing: %0.3f'%(lopt*1000),'mm'\n", + "\n", + "#Answer for radii of outer and inner conductor have wrong calculations in book\n", + "#Also ratio of outer to inner conductor is also calculated wrong" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Distance: 0.285 mm\n", + "Axial cavity length: 3.333 mm\n", + "Ratio of outer to inner conductor: 3.396\n", + "Radius of outer conductor: 3.27 mm\n", + "Radius of inner conductor: 4.9704 mm\n", + "Repeller spacing: 1.888 mm\n" + ] + } + ], + "prompt_number": 50 + } + ], + "metadata": {} + } + ] +} |