{"text_format":"3","workbook":"xls","n_sheets":6,"sheets":["A","B","C","D","E","F"],"not_rendered":{"external_links":1},"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"A","index":0,"n_rows":63,"n_cols":10,"rows_kept":63,"flags":["formulas_cached_only"]}
["Antenna Matching",null,null,"Page A = Series Match",null,null,"Page B = Beta Match",null,null,"Page C = Gamma Match: HW"]
[{"$nulls":3},"Page D = Gamma Match: TNL",null,null,"Page E = Matchline and Stub"]
[]
["1. 1/4-WL and Series Matching Systems",{"$nulls":7},"Do not leave any Input entry blank."]
[]
[{"$nulls":4},"Input","units","Calculations"]
["a. Determining the Physical Length of 1/4-Wavelength"]
["Frequency",null,null,"F",28.5,"MHz"]
["Velocity Factor of Line",null,null,"VF",0.8,"-----",null,null,"Maximum value: 1.0"]
["1/4-Wavelength in Meters",{"$nulls":5},{"v":8.41522807017544,"d":"8.42"},"meters"]
["1/4-Wavelength in Feet",{"$nulls":5},{"v":27.608982456140353,"d":"27.61"},"feet"]
["1/4-Wavelength in Inches",{"$nulls":5},{"v":331.3080701754386,"d":"331.31"},"inches"]
[]
["b. Selecting a 1/4-wl Section Characteristic Impedance (Zo)"]
[]
["Resonant Load Impedance",null,null,"Zload",24.77,"Ohms",null,null,"Zload and Zsource may be swapped."]
["Main Feedline Impedance",null,null,"Zsource",50,"Ohms"]
["Required Section Impedance",null,null,"Zo",null,null,{"v":35.19232870953555,"d":"35.19"},"Ohms","Use nearest available transmission-line Zo."]
[]
["c. Finding Zsource or Zload with a Given Zo"]
[]
["Matching Section Imnpedance",null,null,"Zo",35,"Ohms",null,null,"Matching section is precisely 1/4-wl."]
["Zsource or Zload",null,null,"Zs or Zl",50,"Ohms",null,null,"Impedance at known end of matching section."]
["Zload or Zsource",null,null,"Zl or Zs",null,null,{"v":24.5,"d":"24.50"},"Ohms","Impedance at unknown end of matching section."]
[]
["d. Bramham's Limited Series Matching-Section Solution"]
["Load and Line 1 Impedance",null,null,"Z1",50,"Ohms",null,null,"Load is resonant and matched to Line 1."]
["Main Feedline-Line 2 Impedance",null,null,"Z2",70,"Ohms"]
["Matching Section Value",null,null,"M",null,null,{"v":3.1142857142857143,"d":"3.11"}]
["Line Lengths in degrees",null,null,"L1, L2",null,null,{"v":29.538392172322357,"d":"29.54"},"degrees"]
["Frequency",null,null,"F",29,"MHz"]
["Line Length in Wavelengths",null,null,"L1, L2",null,null,{"v":0.0820510893675621,"d":"0.0821"},"wl","Lengths L1 (Z1) and L2 (Z2) are equal."]
["Line Length in Meters",null,null,"L1, L2",null,null,{"v":0.8482172830767194,"d":"0.848"},"meters","Regardless of the length of L1 and L2, multiply"]
["Line Length in Feet",null,null,"L1, L2",null,null,{"v":2.7828651019577406,"d":"2.78"},"feet","calculated length by the actual velocity factor"]
["Line Length in Inches",null,null,"L1, L2",null,null,{"v":33.394381223492886,"d":"33.39"},"inches","values for each line used."]
[]
["e. Regier's General Series Matching Section Solution"]
["Load Resistance",null,null,"RL",25,"Ohms"]
["Load Reactance",null,null,"XL",-25,"Ohms"]
["Main Feedline Impedance",null,null,"Zo",50,"Ohms"]
["Series Line Impedance",null,null,"Z1",450,"Ohms"]
["Normalization Values",null,null,"n",null,null,{"v":9,"d":"9.000"},null,"Note: L2 (length of Z1) will be calculated before L1."]
[{"$nulls":3},"r",null,null,{"v":0.5,"d":"0.500"},null,"Physical progression is element, L1-Zo, L2-Z1, and"]
[{"$nulls":3},"x",null,null,{"v":-0.5,"d":"-0.50"},null,"any length of Zo to source."]
["Length of Series Insert",null,null,"L2",null,null,{"v":6.459449777355075,"d":"6.46"},"degrees","If this value is ERR, try a higher value for Z1."]
[null,"tan(L2)",{"$nulls":4},{"v":0.11321874375443251,"d":"0.1132"}]
["Length of Initial Main Line",null,null,"L1",null,null,{"v":-26.92428536542338,"d":"-26.92"},"degrees","If this line is negative, use the value in the next line."]
["Length if result is negative",null,null,"L1'",null,null,{"v":153.07571463457663,"d":"153.08"},"degrees","If this line is negative, ignore."]
[]
["Frequency in MHz",null,null,"F",14.175,"MHz"]
["L2 Length in Wavelengths",{"$nulls":5},0.01794291604820854,"wl","Length of Z1 series section."]
["L2 Length in Meters",null,null,"L2",null,null,{"v":0.37948159854550684,"d":"0.379"},"meters"]
["L2 Length in Feet",null,null,"L2",null,null,{"v":1.2450183679314528,"d":"1.25"},"feet"]
["L2 Length in Inches",null,null,"L2",null,null,{"v":14.940220415177434,"d":"14.94"},"inches"]
["L1 Length in Wavelengths",null,null,"L1",null,null,-0.0747896815706205,"wl","Length of Zo insert between element and Z1."]
["L1 Length in Meters",null,null,"L1",null,null,{"v":-1.5817555987485186,"d":"-1.582"},"meters","If L1 values are negative, use alternative values."]
["L1 Length in Feet",null,null,"L1",null,null,{"v":-5.189486872534509,"d":"-5.19"},"feet"]
["L1 Length in Inches",null,null,"L1",null,null,{"v":-62.27384247041411,"d":"-62.27"},"inches"]
["Alternative L1"]
["L1 Length in Wavelengths",{"$nulls":5},0.4252103184293795,"wl","Length of Zo insert between element and Z1."]
["L1 Length in Meters",null,null,"L1",null,null,{"v":8.992935759276174,"d":"8.993"},"meters","If alternative L1 values are greater than 0.5 wl, ignore."]
["L1 Length in Feet",null,null,"L1",null,null,{"v":29.5043824123234,"d":"29.50"},"feet"]
["L1 Length in Inches",null,null,"L1",null,null,{"v":354.05258894788085,"d":"354.05"},"inches"]

{"sheet":"B","index":1,"n_rows":40,"n_cols":10,"rows_kept":40,"flags":["formulas_cached_only"]}
["2. Beta Match (L-Network)",null,null,"Use only if Rload is less than Rsource",{"$nulls":4},"Do not leave any Input entry blank."]
[]
[{"$nulls":4},"Input","Units","Calculations",null,"Notes"]
["Feedline or Source Impedance",null,null,"Rsource",50,"Ohms",null,null,"Enter feedline or source resistance (characteristic impedance)."]
["Antenna Impedance: Resistance",null,null,"Rload",24.64,"Ohms",null,null,"Enter measured or model-derived feedpoint resistance."]
[{"$nulls":8},"Maximum value: Rsource - 0.01 Ohms."]
["Antenna Impedance: Reactance",null,null,"Xload",0,"Ohms",null,null,"Enter measured or model-derived feedpoint reactance."]
[{"$nulls":8},"If Xload is +, use a capacitor or open stub."]
[{"$nulls":8},"If Xload is -, use an inductor or shorted stub."]
[]
["Delta",{"$nulls":5},{"v":1.0145051893513306,"d":"1.01"}]
["Needed Antenna Reactance",null,null,"Xs",null,null,{"v":24.997407865616786,"d":"25.00"},"Ohms","Match reactance type (capacitive or inductive) to Xload entry."]
["Parallel Reactance",null,null,"Xp",null,null,{"v":49.285110145143506,"d":"49.29"},"Ohms","Use the opposite reactance type relative to Xload."]
[]
["Frequency in MHz",null,null,"F",29,"MHz",null,null,"Enter design frequency for the beta match."]
["Wavelength in meters",null,null,"WL",null,null,{"v":10.337672413793104,"d":"10.34"},"meters","Reference data."]
[]
["If Xload is capacitive (-jXs)",{"$nulls":7},"Do not use if Xload is inductive."]
["Parallel Component (Xp)"]
["Solenoid Inductor",null,null,"L(uH)",null,null,{"v":0.2704816862216589,"d":"0.27"},"uH","Consult coil-winding programs to create this inductor."]
[]
["Transmission Line Shorted-Stub/Hairpin"]
["Characteristic Impedance in Ohms",{"$nulls":3},50,"Ohms",null,null,"Enter characteristic impedance of feedline."]
["Velocity Factor",{"$nulls":3},0.78,"-----",null,null,"Enter velocity factor of feedline. Use 1.0 for bare wire."]
["Stub/Hairpin Length in WL",{"$nulls":5},{"v":0.09660615494649577,"d":"0.0966"},"WL"]
["Stub/Hairpin Length in meters",{"$nulls":5},{"v":0.9986827829930116,"d":"0.999"},"meters","Adjust either the element length to obtain the needed antenna"]
["Stub/Hairpin Length in feet",{"$nulls":5},{"v":3.276518316906206,"d":"3.277"},"feet",null,"reactance or the length of the shorted stub for"]
["Stub/Hairpin Length in inches",{"$nulls":5},{"v":39.318219802874474,"d":"39.32"},"inches",null,"the best match across the intended passband."]
[]
["If Xload is inductive (jXs)",{"$nulls":7},"Do not use if Xload is capacitive."]
["Parallel Component (Xp)"]
["Capacitor",null,null,"CpF",null,null,{"v":111.35414874320242,"d":"111.35"},"pF","Be certain capacitor can handle expected voltages and currents."]
[]
["Transmission Line Open-Stub/\"Hairpin\""]
["Characteristic Impedance in Ohms",{"$nulls":3},50,"Ohms",null,null,"Enter characteristic impedance of feedline."]
["Velocity Factor",{"$nulls":3},0.78,"-----",null,null,"Enter velocity factor of feedline. Use 1.0 for bare wire."]
["Stub/Hairpin Length in WL",{"$nulls":5},{"v":0.09839384505350424,"d":"0.0984"},"WL"]
["Stub/Hairpin Length in meters",{"$nulls":5},{"v":1.0171633376966438,"d":"1.017"},"meters","Adjust either the element length to obtain the needed antenna"]
["Stub/Hairpin Length in feet",{"$nulls":5},{"v":3.337150058059855,"d":"3.337"},"feet",null,"reactance or the length of the open stub for"]
["Stub/Hairpin Length in inches",{"$nulls":5},{"v":40.04580069671826,"d":"40.05"},"inches",null,"the best match across the intended passband."]

{"sheet":"C","index":2,"n_rows":49,"n_cols":14,"rows_kept":49,"flags":["formulas_cached_only"]}
["3. Gamma Match: HW",{"$nulls":3},"Do not leave any Input entry blank.",{"$nulls":3},"Healey-Wheeler Method"]
[]
["Step 1.","Calculation of gamma assembly characteristic impedance ( Zo)"]
[]
[{"$nulls":4},"Input","Units","Calculations"]
["Gamma rod diameter",null,null,"d1",0.375,"inches",null,null,"All physical dimensions are in inches.  Pre-convert"]
["Element diameter ",null,null,"d2",0.5,"inches",null,null,"meters, centimeters, millimeters, and feet to inches"]
["Center-center spacing",null,null,"S",4,"inches",null,null,"for these entries and for gamma rod length."]
["Gamma characteristic Z",null,null,"Zo",null,null,{"v":349.57866086498063,"d":"349.58"},"Ohms","Should be between about 200 and 600 Ohms."]
[]
["Step 2.","Calculation of impedance transformation ratio and impedance (r, R1, X1)"]
["Pre-match feedpoint resistance",null,null,"Ra",34.43,"Ohms",null,null,"Values may be derived from measurements or from"]
["Pre-match feedpoint reactance",null,null,"Xa",25.77,"Ohms",null,null,"a NEC/MININEC model with no gamma assembly."]
["Transformation ratio",null,null,"r",null,null,{"v":4.425803507141821,"d":"4.43"},"---","Based on standard folded-dipole equation."]
["Transformed Resistance",null,null,"R1",null,null,{"v":152.3804147508929,"d":"152.38"},"Ohms","r * Ra"]
["Transformed Reactance",null,null,"X1",null,null,{"v":114.05295637904473,"d":"114.05"},"Ohms","r * Xa"]
["Transformed Impedance",null,null,"Z1",null,null,{"v":190.33619639588898,"d":"190.34"},"Ohms","Reference data."]
["Phase Angle",null,null,"phi",null,null,{"v":36.81394215185487,"d":"36.81"},"degrees","Reference data."]
[]
["Step 3.","Calculation of gamma assembly reactance (Xg)"]
["Frequency",null,null,"F",28,"MHz",null,null,"Required entry for all following calculations."]
["Wavelength",null,null,"m",null,null,{"v":10.706875,"d":"10.71"},"meters","Reference data.",null,{"v":35.127542650918635,"d":"35.13"},"feet",{"v":421.53051181102364,"d":"421.53"},"inches"]
["Select gamma rod length ",null,null,"l",38.56,"inches",null,null,"Vary this value until feedpoint resistance is desired value."]
["Gamma rod length degrees",null,null,"theta",null,null,{"v":32.9314239682447,"d":"32.93"},"degrees","Reference data.",null,"tan",0.6477072770019517]
["Gamma assembly reactance",null,null,"Xg",null,null,{"v":226.42464252684536,"d":"226.42"},"Ohms","Combines later with X3p below."]
[]
["Step 4.","Calculation of impedance at far end of gamma rod (R2, X2)",{"$nulls":6},"Based on virtual sinusoidal current distribution."]
["Far-end resistance",null,null,"R2",null,null,{"v":216.30776507703766,"d":"216.31"},null,"Hence, values are a close but not perfect approximation."]
["Far-end reactance",null,null,"X2",null,null,{"v":161.9009905906262,"d":"161.90"}]
[{"$nulls":8},"Calculates impedance transformation along gamma \"stub.\""]
["Step 5.","Calculation of far-end impedance transformed to near end (R3, X3)",{"$nulls":7},"Z3rnum","Z3inum","Z3rden","Z3iden"]
["Near-end resistance",null,null,"R3",null,null,{"v":471.91106627647594,"d":"471.91"},"Ohms",null,216.30776507703766,388.32563311747157,0.700026170075995,0.4007799365263287]
["Near-end reactance",null,null,"X3",null,null,{"v":284.5509988683552,"d":"284.55"},"Ohms",null,"Z3mag","Z3theta"]
[{"$nulls":9},551.0619978107537,31.088964288923343]
["Step 6.","Final Values"]
["Near-end parallel resistance",null,null,"R3p",null,null,{"v":643.4884602881299,"d":"643.49"},null,"Converts series value R3 to parallel equivalent."]
["Near-end parallel reactance",null,null,"X3p",null,null,{"v":1067.187697948194,"d":"1067.19"},null,"Converts series value X3 to parallel equivalent"]
["Total parallel reactance",null,null,"Xg||X3p",null,null,{"v":186.79289417433424,"d":"186.79"},null,"Combine X3p and Xg into a single reactance value."]
[]
["Feedpoint resistance",null,null,"Rf",null,null,{"v":50.00864941448615,"d":"50.01"},"Ohms","Adjust gamma dimension until this value = feedline Zo"]
["Feedpoint reactance",null,null,"Xf",null,null,{"v":172.2763007397001,"d":"172.28"},"Ohms","Remnant series reactance to be matched by gamma capacitor"]
["Gamma series capacitor",null,null,"Cg",null,null,{"v":32.99412099063585,"d":"32.99"},"pF","Value of gamma capacitor"]
[{"$nulls":8},"Due to construction variables, be prepared to adjust gamma rod"]
[{"$nulls":8},"length and series capacitor value for lowest SWR curve for"]
["Optional Final Steps:",{"$nulls":7},"the intended passband of use.  See optional final steps."]
["Stray series gamma-match"]
[null,"inductance",null,"Ls",2,"uH",{"v":351.85837720205683,"d":"351.86"},"Ohms=Xs","Value may be small for closely space wire gammas or large"]
["Revised feedpoint reactance",null,null,"Xs+Xf",null,null,{"v":524.134677941757,"d":"524.13"},"Ohms","for large tubular assemblies with wide straps and coax"]
["Revised gamma series cap.",null,null,"Cga",null,null,{"v":10.844741532359484,"d":"10.84"},"pF","connector plates.  Typical range 0.1 to 0.6 uH at 10 meters."]

{"sheet":"D","index":3,"n_rows":50,"n_cols":13,"rows_kept":50,"flags":["formulas_cached_only"]}
["4. Gamma Match: TNL",{"$nulls":3},"Do not leave any Input entry blank.",{"$nulls":3},"Tolles-Nelson-Leeson Method"]
[]
["Step 1.  Input data",{"$nulls":3},"Input","Units","Calculations",null,"Notes"]
["Gamma rod diameter",null,null,"d1",0.05,"inches",null,null,"All physical dimensions are in inches.  Pre-convert"]
["Element diameter ",null,null,"d2",0.05,"inches",null,null,"meters, centimeters, millimeters, and feet to inches"]
["Center-center spacing",null,null,"S",2,"inches",null,null,"for these entries and for gamma rod length."]
["Pre-match feedpoint resistance",null,null,"Ra",63,"Ohms",null,null,"From total model"]
["Pre-match feedpoint reactance",null,null,"Xa",50,"Ohms",null,null,"From total model"]
["Frequency in MHz",null,null,"F",14.200000000000001,"MHz",{"v":21.112147887323943,"d":"21.11"},"meters",69.26557705814942,"feet",831.1869246977931,"inches"]
["Feedline Impedance",null,null,"Ro",50,"Ohms"]
[]
["Step-up ratio",null,null,"Hz",null,null,{"v":4,"d":"4.00"},null,"Numerator",null,40,"cosh-1",4.381870348040067]
[{"$nulls":8},"Denominator",null,40,"cosh-1",4.381870348040067]
["Gamma impedance",null,null,"Zo",null,null,{"v":525.8244417648081,"d":"525.82"},null,"Value",null,3198.9999999999995,"cosh-1",8.763740696080134]
[{"$nulls":3},"T",null,null,{"v":0.007607101690775206,"d":"0.01"}]
[{"$nulls":3},"A",null,null,{"v":12.376237623762377,"d":"12.38"}]
[{"$nulls":3},"B",null,null,{"v":1601.2376237623762,"d":"1601.24"}]
[{"$nulls":3},"Q",null,null,{"v":54.26190201484262,"d":"54.26"}]
["Gamma rod reactance",null,null,"Xs",null,null,{"v":217.04760805937048,"d":"217.05"}]
["Gamma rod length degrees",null,null,"Ldr",null,null,{"v":22.429650817365655,"d":"22.43"}]
["Gamma rod length inches",null,null,"Lgr",null,"***",{"v":51.7867569025875,"d":"51.79"},"Inches"]
[{"$nulls":3},"E",null,null,{"v":94.61752709520967,"d":"94.62"}]
[{"$nulls":3},"G",null,null,{"v":39.682539682539684,"d":"39.68"}]
["Series capacitance",null,null,"Cs",null,"***",{"v":83.45561437794632,"d":"83.46"},"pF"]
{"$rows_empty":21}
["Optional Final Steps:"]
["Stray series gamma-match"]
[null,"inductance",null,"Ls",0.5,"uH",null,null,"Value may be small for closely space wire gammas or large"]
["Revised feedpoint reactance",null,null,"Xls+Xf",null,null,{"v":0,"d":"0.00"},"Ohms","for large tubular assemblies with wide straps and coax"]
["Revised gamma series cap.",null,null,"Cga",null,null,{"$error":"#VALUE!"},"pF","connector plates.  Typical range 0.1 to 0.6 uH."]

{"sheet":"E","index":4,"n_rows":32,"n_cols":17,"rows_kept":32,"flags":["formulas_cached_only"]}
["5.  Matchline and Stub",{"$nulls":3},"Do not leave any Input entry blank."]
[]
["Step 1.  Input data",{"$nulls":3},"Input","Units","Calculations",null,"Notes",null,null,"Intermediate Calculations",{"$nulls":3},"Len A","Len B"]
["Antenna Load Resistance",null,null,"RL",100,"Ohms",{"$nulls":5},"RHOS",0.7692307692307693,null,"tanLenA",1.6814000889943777,2.5538940286526755]
["Antenna Load Reactance",null,null,"XL",-600,"Ohms",{"$nulls":5},"RT",19.780219780219777,null,"tanLen^2",2.827106259270301,6.522374709587793]
["Frequency in MHz",null,null,"FQ",28,"MHz",{"$nulls":5},"A",-0.9444444444444455,null,"Den",19.348148310755416,38.02978325402718]
["Zo of Matchline",null,null,"ZL",300,"Ohms",null,null,"Line from antenna to stub",{"$nulls":3},-0.9444444444444455,null,"Rnum",382.7106259270301,752.2374709587793]
["Velocity Factor of Matchline",null,null,"VFL",0.8,{"$nulls":3},"Enter as a decimal",null,null,"B",-4,null,"Rin",19.780219780219774,19.780219780219777]
["Zo of Main Feedline",null,null,"ZF",50,"Ohms",null,null,"Line from stub junction to rig",null,null,"C",-4.055555555555556,null,"Xnum",-473.04299416590516,929.790399010179]
["Velocity Factor of Feedline",null,null,"VFF",0.67,{"$nulls":3},"Enter as a decimal",null,null,"NUM",0.6790123456789914,null,"Xin",-24.44900600141389,24.449006001413867]
["Zo of Stub",null,null,"ZS",300,"Ohms",null,null,"From line-feed junction",null,null,"TLP",1.6814000889943774]
["Velocity Factor of Stub",null,null,"VFS",0.8,{"$nulls":3},"Enter as a decimal",null,null,"TLM",2.5538940286526763,null,"Stubs"]
[{"$nulls":11},"LP",59.25825416120634,null,"Shorted",7.679442790411332,-7.679442790411332]
["Step 2.  Evaluate initial calculations",{"$nulls":11},59.25825416120634,null,null,7.679442790411332,172.32055720958866]
["Numerator",null,null,"NUM",null,null,{"v":0.6790123456789914,"d":"0.68"},null,"If NUM < 0, then there is no",null,null,"LM",68.61672948989185,null,"Open",-82.32055720958866,82.32055720958866]
[{"$nulls":8},"solution using the proposed",{"$nulls":3},68.61672948989185,null,null,97.67944279041134,82.32055720958866]
[{"$nulls":8},"matchline Zo.  Try another",null,null,"WL",10.706875,"meters"]
[{"$nulls":8},"matchline Zo."]
["Step 3.  Possible line lengths and stubs"]
["Match-Line Length A",null,null,"LP",null,null,{"v":59.25825416120634,"d":"59.26"},"degrees",{"v":1.4099349333828137,"d":"1.410"},"meters",{"v":4.6257707788150055,"d":"4.626"},"feet",{"v":55.50924934578006,"d":"55.51"},"inches"]
[null,"Series resistance before  stub installation",{"$nulls":4},{"v":19.780219780219774,"d":"19.78"},"Ohms"]
[null,"Series reactance before stub installation",{"$nulls":4},{"v":-24.44900600141389,"d":"-24.45"},"Ohms"]
[null,"Required parallel stub reactance to compensate",{"$nulls":4},{"v":40.45199174779438,"d":"40.45"},"Ohms"]
[null,"Shorted stub length",{"$nulls":4},{"v":7.679442790411332,"d":"7.68"},"degrees",{"v":0.1827174089479674,"d":"0.183"},"meters",{"v":0.5994665647899192,"d":"0.599"},"feet",{"v":7.19359877747903,"d":"7.19"},"inches"]
[null,"Open stub length",{"$nulls":4},{"v":97.67944279041134,"d":"97.68"},"degrees",{"v":2.3240924089479678,"d":"2.324"},"meters",{"v":7.624975094973647,"d":"7.625"},"feet",{"v":91.49970113968376,"d":"91.50"},"inches"]
[]
["Match-Line Length B",null,null,"LP",null,null,{"v":68.61672948989185,"d":"68.62"},"degrees",{"v":1.6326016567935242,"d":"1.633"},"meters",{"v":5.356304648272717,"d":"5.356"},"feet",{"v":64.2756557792726,"d":"64.28"},"inches"]
[null,"Series resistance before  stub installation",{"$nulls":4},{"v":19.780219780219777,"d":"19.78"},"Ohms"]
[null,"Series reactance before stub installation",{"$nulls":4},{"v":24.449006001413867,"d":"24.45"},"Ohms"]
[null,"Required parallel stub reactance to compensate",{"$nulls":4},{"v":-40.45199174779438,"d":"-40.45"},"Ohms"]
[null,"Shorted stub length",{"$nulls":4},{"v":172.32055720958866,"d":"172.32"},"degrees",{"v":4.100032591052033,"d":"4.100"},"meters",{"v":13.451550495577534,"d":"13.452"},"feet",{"v":161.4186059469304,"d":"161.42"},"inches"]
[null,"Open stub length",{"$nulls":4},{"v":82.32055720958866,"d":"82.32"},"degrees",{"v":1.9586575910520325,"d":"1.959"},"meters",{"v":6.426041965393807,"d":"6.426"},"feet",{"v":77.11250358472569,"d":"77.11"},"inches"]

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