{"text_format":"1","workbook":"xlsx","n_sheets":5,"sheets":["Top Sheet","Calculations","Gvariable","Read Me!","Bug List"],"not_rendered":{"charts":1,"images":9,"macros":1,"external_links":0,"defined_names":250,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Top Sheet","index":0,"n_rows":28,"n_cols":6,"rows_kept":28,"cut":false,"hidden":false,"merged":[[1,3,1,5],[2,4,2,5],[3,3,3,5],[4,4,4,5]]}
[null,null,null,"Thermal Resistance Tool"]
[null,null,null,"Estimated Thermal Resistance"]
[null,null,null,{"$f":"(theta_jc+1/(1/(Rvia+Rbot_total)+1/Rtop+1/Rcasetop))","v":30.213120310271627},"°C / W"]
[null,null,null,"Estimated Junction Temperature"]
[null,null,null,{"$f":"thetaja*Pdiss+Ta","v":70.319680465407444},"°C"]
["DUT Parameters"]
["θJC from datasheet (C/W)  Thermal  Resistance to Exposed Pad","θJT from datasheet or calculation  (C/W)       Thermal  Resistance to Case Top of DUT (50-100 - is a good estimate for plastic molding)","Area of DUT Case Top (square mm)","Estimated Power Dissipation (W)"]
[6,{"$f":"thickness_mold/(conduct_mold*mm*casetop_area)","v":135.86956521739131},16,1.5]
[null,"Thermal Conductivity of plastic (W/mK)","Thickeness of molding Top ( mm)"]
[null,0.23,0.5]
["Operating Temperatures"]
["Maximum Junction Temperature C","Ambient Temperature C"]
[125,25]
[]
["PCB Dimensions      ",null,null,null,"PCB Dimensions      Converted to the Superior Metric Form"]
["Width of Board (inches)","Length of Board (inches)","Board Thickness (mils)","Copper Weight (oz)","Width of Board (mm)","Board Thickness(mm)"]
[1.75,1,65,1,{"$f":"wid_in*25.4","v":44.449999999999996},{"$f":"thick_mils*0.0254","v":1.651}]
["Width of Top layer copper heatsinking (inches)","Width of Bottom layer copper heatsinking (inches)",null,null,"Length of Board (mm)"]
[1.75,1.75,null,null,{"$f":"len_in*25.4","v":25.4}]
["Length of Top layer copper heatsinking (inches)","Length of Bottom layer copper heatsinking (inches)"]
[1,1]
["Thermal Vias"]
["Number of Thermal Vias","Via Diameter (mils)","Via Plating Thickness (mils)",null,"Via Diameter (mm)","Via Thickness (mm)"]
[12,8,0.7,null,{"$f":"via_diam_mils*0.0254","v":0.20319999999999999},{"$f":"via_thick_mils*0.0254","v":1.7779999999999997E-2}]
[]
["Airflow","Heatskink on Bottom","Heatskink on TOP"]
["Airflow in LFPM","θJA from datasheet at desired airflow (C/W)","θJA from datasheet at desired airflow (C/W)",null,"Airflow in m/s","Estimated Airflow due to Natural Convection (m/s)"]
[0,8,0,null,{"$f":"velocity_lfpm/(3.28*60)","v":0},{"$f":"ABS(((Tj_update-Ta)/(273+Ta)*9.8*MAX(wid_mm,len_mm)/1000))^0.5","v":0.29154058767509827}]

{"sheet":"Calculations","index":1,"n_rows":1041,"n_cols":255,"rows_kept":1041,"cut":false,"hidden":false,"merged":[]}
["Calculation of heat transfer coefficienct and thermal resistance from PCB Surface to Air per square mm"]
["By Marc Davis-Marsh"]
["Calculate h (heat transfer coefficienct) W /m^2K",{"$f":"IF(use_rad>0,IF(velocity_lfpm>0,MAX(nu_gr*k/l+hrad,nu_re*k/l+hrad),nu_gr*k/l+hrad),nu_re*k/l+hrad)","v":13.570448047304264},"Thermal Resistance surface to Air for 1mm^2 (C/W)",{"$f":"(1000000/B3)","v":73689.534532254998},"Updated Board Temperature",null,"Use Grashov Number and Radiation "]
["Max h for laminar flow on a small board",52,null,null,83.145548656042365,null,1,null,null,true,null,"Old Values"]
[null,null,null,null,null,null,null,null,null,1,null,0.25]
["Length of Board (m)",{"$f":"MIN(len_mm/1000,wid_mm/1000)","v":2.5399999999999999E-2},null,null,"Average Board temp",null,null,null,null,null,null,0.25]
["Thermal Conductivity of Air (w/m K)",{"$f":"0.024","v":2.4E-2},null,null,{"$f":"SUM(N41:N1041)/MAX(numrings,numrings2)","v":139.18318630903343},null,null,null,null,null,null,0.25]
["Density of Air ((Kg/m^3)",1.1839999999999999,null,null,null,null,null,null,null,null,null,0.25]
["Dynamic Viscosity of Air ((Kg / (m s))",1.9830000000000002E-5,"Kinematic Viscosity of Air (m^2/S)",1.5679999999999999E-5]
["Velocity of Airflow (lfpm)",{"$f":"velocity_lfpm","v":0},"Velocity of Airflow (m/s)",{"$f":"1*velocity_ms+velocity_nc","v":0.29154058767509827}]
["Prandtl Number",0.7]
["Reynolds Number",{"$f":"velocity2*density*l/viscosity","v":442.14195751416207},"Critical Reynolds Number for Laminar Flow",500000]
["Nusselt Number using Reynolds",{"$f":"0.664*POWER(re,1/2)*POWER(pr,1/3)","v":12.396953081642163}]
["Grashov number",{"$f":"ABS(9.8*(0.7*Tj_update-Ta)*l^3/((273+Ta)*kinematic_viscosity^2))","v":72774.892646231063},"Heat Transfer Due to Radiation",{"$f":"0.9*0.000000056703*((273+0.707*Tj_update)^4-(273+Ta)^4)/(273+0.707*Tj_update)","v":0.65087213021496526},{"$f":"0.9*0.000000056703*((273+Tj_update)^4-(273+Ta)^4)*wid_mm*len_mm/1000000","v":0.47258678068550897}]
["Nusselt using Grashov",{"$f":"0.54*POWER(gr*pr,1/4)+0.15*POWER(gr*pr,1/3)","v":13.673217845586173},null,7.72]
["Calculation of  thermal resistance of Via Array"]
["Via Thermal Resistance    C/W","Via Diameter (mm)","Via Thickness (mm)"]
[{"$f":"thick_mm/(0.39*3.14*((0.5*via_diam_mm)^2-(0.5*(via_diam_mm-2*via_thick_mm))^2))","v":408.94460655553922},{"$f":"via_diam_mm","v":0.20319999999999999},{"$f":"via_thick_mm","v":1.7779999999999997E-2}]
[]
["Via Array Thermal Resistance     C/W",null,"Lateral Thermal Resistance of FR4   (per square mm)",null,"Thermal Resistance of FR4   C/W including Lateral"]
[{"$f":"IF(num_vias>0,1/((num_vias/via_therm_res)+1/Rfr4_tot),Rfr4_tot)","v":25.179391475503557},null,{"$f":"IF(velocity_lfpm>0,1/(0.23*mm*0.221/10),1/(0.23*mm*0.221/3.75))","v":73775.32952980524},null,{"$f":"1/(SUM(M41:M1041))","v":96.420940979427428}]
[{"$f":"IF(num_vias>0,IF(via_therm_res/num_vias>Rfr4_tot,Rfr4_tot,via_therm_res/num_vias),Rfr4_tot)","v":34.0787172129616},null,"Vertical Thermal Resistance of FR4   (per square mm)"]
[null,null,{"$f":"0.221/(0.23*mm)","v":960.86956521739125},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,57.338215535910251]
["Calculation of  thermal resistance of the board copper per square mm"]
[]
["Copper Thermal Resistance per square mm","Adjustment Scaling","Top copper Lateral Resistance","Bottom Copper Lateral",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,57.338215535910251]
[{"$f":"1/(0.39*0.035/cop_scale*copper_wt)","v":732.60073260073239},10,{"$f":"topcopwid*topcoplen/(wid_in*len_in)","v":1},{"$f":"botcopwid*botcoplen/(wid_in*len_in)","v":1}]
[null,null,{"$f":"C27*Rlateral+_Rfr4*(1-C27)","v":732.60073260073239},{"$f":"D27*Rlateral+_Rfr4*(1-D27)","v":732.60073260073239}]
["Calculations of  Thermal Resistance",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,57.338215535910251]
[]
["Number of Rings of 1mm squares of PCB",null,"Top copper Estimated Thermal Resistance"]
[{"$f":"ROUND((wid_mm-1)/2,2)","v":21.73},null,{"$f":"1/SUM(F41:F1041)","v":96.320122434388054},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,57.338215535910251]
["Number of Rings of 1mm squares of PCB"]
[{"$f":"ROUND((len_mm-1)/2,2)","v":12.2},null,"Bottom copper Estimated Thermal Resistance",null,"Combination of bottom copper and Heatsink"]
["Number of Rings of 1mm squares of Top Copper",null,{"$f":"1/SUM(G41:G1044)","v":96.320122434388054},null,{"$f":"IF(Rheatsink>0,Rheatsink*Rbot/(Rheatsink+Rbot),Rbot)","v":7.3865037875099055},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,57.338215535910251]
[{"$f":"ROUND((AVERAGE(topcopwid*25.4,topcoplen*25.4)-1)/2,2)","v":16.96}]
["Number of Rings of 1mm squares of Bot Copper",null,"Combination of Case Top Thermal Resistance and Heatsink"]
[{"$f":"ROUND((AVERAGE(botcopwid*25.4,botcoplen*25.4)-1)/2,2)","v":16.96},null,{"$f":"IF(Rheatsink_topcase>0,theta_jt+(Rsa/casetop_area*Rheatsink_topcase/(Rheatsink_topcase+Rsa/casetop_area)),theta_jt+Rsa/casetop_area)","v":4741.4654734833284},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,57.338215535910251]
[]
["Ring Number","Estimated Thermal Resistance For Top Copper Ring","Estimated Thermal Resistance For FR4 to bottom Copper","M","L","Estimated Thermal Resistance For Top Copper Ring","Estimated Thermal Resistance For Bottom Copper Ring","Max Width","Top Copper","Bot Copper","Top Average","Bot Average",null,"Average board temperature"]
[0.1,{"$f":"1/Rsa","v":1.3570448047304264E-5},{"$f":"1/Rfr4_vert","v":1.0407239819004526E-3},{"$f":"IF(N<numrings,N,0)","v":0.1},{"$f":"IF(N<numrings2,N,0)","v":0.1},{"$f":"1/Rsa","v":1.3570448047304264E-5},{"$f":"1/Rsa","v":1.3570448047304264E-5},{"$f":"MAX(X)","v":21},{"$f":"IF(N<numrings3,N,CEILING(numrings3,0))","v":0.1},{"$f":"IF(N<numrings4,N,CEILING(numrings4,0))","v":0.1},{"$f":"(Rlateral*tc+_Rfr4*(N-tc))/N","v":732.60073260073239},{"$f":"(Rlateral*bc+_Rfr4*(N-bc))/N","v":732.60073260073239},{"$f":"1/_Rfr4","v":1.3554666666666666E-5},{"$f":"Tjunction","v":70.319680465407444},{"$f":"Pdiss","v":1.5},{"$f":"Tjunction","v":70.319680465407444},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,57.338215535910251]
[1,{"$f":"IF(N<=numrings,N*8/(Rsa+N*Rlateral),0)","v":1.0749490016013863E-4},{"$f":"IF(N<=numrings,N*8/(Rfr4_vert+N*Rlateral_top_ave),0)","v":4.7240273480481142E-3},{"$f":"IF(N<numrings,N,0)","v":1},{"$f":"IF(N<numrings2,N,0)","v":1},{"$f":"IF(X>0,IF(Y>0,N*8/(Rsa+N*Rlateral_top_ave),(4*length_max+2)/(Rsa+N*Rlateral_top_ave)),IF(Y>0,(4*width_max+2)/(Rsa+N*Rlateral_top_ave),0))","v":1.0749490016013863E-4},{"$f":"IF(X>0,IF(Y>0,N*8/(Rsa+N*Rlateral_bot_ave),(4*length_max+2)/(Rsa+N*Rlateral_bot_ave)),IF(Y>0,(4*width_max+2)/(Rsa+N*Rlateral_bot_ave),0))","v":1.0749490016013863E-4},"Max Length",1,1,{"$f":"(Rlateral*tc+_Rfr4*(N-tc))/N","v":732.60073260073239},732.60073260073239,{"$f":"IF(X>0,IF(Y>0,N*8/(_Rfr4+N*Rlateral_top_ave),(4*length_max+2)/(_Rfr4+N*Rlateral_top_ave)),IF(Y>0,(4*width_max+2)/(_Rfr4+N*Rlateral_top_ave),0))","v":1.0737112105819039E-4},{"$f":"IF($F42=0,0,IF(pdiss_ave*(SUM($F$41:$F$1041)-$F41)^-1<Ta,Ta,pdiss_ave*(SUM($F$41:$F$1041)-$F41)^-1))","v":143.18286989715028},{"$f":"$O41-(SUM(F41:F1041)-F42)*$O41","v":1.4845881724445018},{"$f":"pdiss_ave*(SUM($F41:$F$1041)-$F41)^-1","v":143.18286989715028}]
[2,{"$f":"IF(N<=numrings,N*8/(Rsa+N*Rlateral),0)","v":2.1289410158451631E-4},{"$f":"IF(N<=numrings,N*8/(Rfr4_vert+N*Rlateral_top_ave),0)","v":6.5950253720467675E-3},2,2,{"$f":"IF(X>0,IF(Y>0,N*8/(Rsa+N*Rlateral_top_ave),(4*length_max+2)/(Rsa+N*Rlateral_top_ave)),IF(Y>0,(4*width_max+2)/(Rsa+N*Rlateral_top_ave),0))","v":2.1289410158451631E-4},{"$f":"IF(X>0,IF(Y>0,N*8/(Rsa+N*Rlateral_bot_ave),(4*length_max+2)/(Rsa+N*Rlateral_bot_ave)),IF(Y>0,(4*width_max+2)/(Rsa+N*Rlateral_bot_ave),0))","v":2.1289410158451631E-4},{"$f":"MAX(Y)","v":12},2,2,{"$f":"(Rlateral*tc+_Rfr4*(N-tc))/N","v":732.60073260073239},732.60073260073239,2.1265134347685333E-4,143.02437301651929,{"$f":"$O42-(SUM(F42:F1042)-F43)*$O42","v":1.4695113154425561},{"$f":"pdiss_ave*(SUM($F42:$F$1041)-$F42)^-1","v":143.21352693612678}]
[3,3.162582986061515E-4,7.5981304170259136E-3,3,3,{"$f":"IF(X>0,IF(Y>0,N*8/(Rsa+N*Rlateral_top_ave),(4*length_max+2)/(Rsa+N*Rlateral_top_ave)),IF(Y>0,(4*width_max+2)/(Rsa+N*Rlateral_top_ave),0))","v":3.162582986061515E-4},{"$f":"IF(X>0,IF(Y>0,N*8/(Rsa+N*Rlateral_bot_ave),(4*length_max+2)/(Rsa+N*Rlateral_bot_ave)),IF(Y>0,(4*width_max+2)/(Rsa+N*Rlateral_bot_ave),0))","v":3.162582986061515E-4},null,3,3,732.60073260073239,732.60073260073239,3.1590115418762946E-4,143.06968375266879,1.4548974325282857,{"$f":"pdiss_ave*(SUM($F43:$F$1041)-$F43)^-1","v":144.7934726505878},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,57.338215535910251]
[4,4.1764586424513549E-4,8.2235310007244232E-3,4,4,4.1764586424513549E-4,{"$f":"IF(X>0,IF(Y>0,N*8/(Rsa+N*Rlateral_bot_ave),(4*length_max+2)/(Rsa+N*Rlateral_bot_ave)),IF(Y>0,(4*width_max+2)/(Rsa+N*Rlateral_bot_ave),0))","v":4.1764586424513549E-4},null,4,4,732.60073260073239,732.60073260073239,4.1717872932900169E-4,143.14687379969209,1.4408861282216581,{"$f":"pdiss_ave*(SUM($F44:$F$1041)-$F44)^-1","v":148.05913149798926}]
[5,5.1711296013363147E-4,8.6507562006385794E-3,5,5,5.1711296013363147E-4,5.1711296013363147E-4,null,5,5,732.60073260073239,732.60073260073239,5.1654004355189929E-4,143.27091103852368,1.4276087719126256,{"$f":"pdiss_ave*(SUM($F45:$F$1041)-$F45)^-1","v":153.27257079489803}]
[6,6.1471364025292719E-4,8.9611188910990024E-3,6,6,6.1471364025292719E-4,6.1471364025292719E-4,null,6,6,732.60073260073239,732.60073260073239,6.140389731789746E-4,143.45654864705438,1.4151893331562537,{"$f":"pdiss_ave*(SUM($F46:$F$1041)-$F46)^-1","v":160.870531684008},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,57.338215535910251]
[7,7.1049994888515032E-4,9.1967996484739762E-3,7,7,7.1049994888515032E-4,7.1049994888515032E-4,null,7,7,732.60073260073239,732.60073260073239,7.097273936170212E-4,143.7183835822367,1.4037453054341553,{"$f":"pdiss_ave*(SUM($F47:$F$1041)-$F47)^-1","v":171.55758541796274}]
[8,8.0452201315260108E-4,9.381859441135754E-3,8,8,8.0452201315260108E-4,8.0452201315260108E-4,null,8,8,732.60073260073239,732.60073260073239,8.0365527139260751E-4,144.07092834014296,1.393388705062268,{"$f":"pdiss_ave*(SUM($F48:$F$1041)-$F48)^-1","v":186.4849406429401}]
[9,8.9682813049042577E-4,9.5310256718381427E-3,9,9,8.9682813049042577E-4,8.9682813049042577E-4,null,9,9,732.60073260073239,732.60073260073239,8.9587075115400759E-4,144.52869546539162,1.3842271348776705,{"$f":"pdiss_ave*(SUM($F49:$F$1041)-$F49)^-1","v":207.61327479046619},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,57.338215535910251]
[10,9.8746485137334483E-4,9.6538178435732515E-3,10,10,9.8746485137334483E-4,9.8746485137334483E-4,null,10,10,732.60073260073239,732.60073260073239,9.8642023795772189E-4,145.10629451027717,1.3763649052860885,{"$f":"pdiss_ave*(SUM($F50:$F$1041)-$F50)^-1","v":238.51718274691109}]
[11,1.076477057594159E-3,9.7566625995659829E-3,11,11,1.076477057594159E-3,1.076477057594159E-3,null,11,11,732.60073260073239,732.60073260073239,1.0753484751350856E-3,145.81854139672174,1.3699042081748389,{"$f":"pdiss_ave*(SUM($F51:$F$1041)-$F51)^-1","v":286.40860075848991}]
[12,1.1639080363705975E-3,9.844055440422125E-3,12,12,1.1639080363705975E-3,1.1639080363705975E-3,null,12,12,732.60073260073239,732.60073260073239,1.1626986180134794E-3,146.6805804098899,1.3649463420858166,{"$f":"pdiss_ave*(SUM($F52:$F$1041)-$F52)^-1","v":368.25108071131245},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,57.338215535910251]
[13,1.2497995505375986E-3,9.9192354021445089E-3,13,0,6.0086516852769171E-4,6.0086516852769171E-4,null,13,13,732.60073260073239,732.60073260073239,6.0024629987853696E-4,147.61193047139056,1.3607072292948046,{"$f":"pdiss_ave*(SUM($F53:$F$1041)-$F53)^-1","v":535.15184139102848}]
[14,1.334191905064159E-3,9.984595354754074E-3,14,0,5.9562138618935671E-4,5.9562138618935671E-4,null,14,14,732.60073260073239,732.60073260073239,5.9501326673950367E-4,138.84395190124755,1.3580578847398714,{"$f":"pdiss_ave*(SUM($F54:$F$1041)-$F54)^-1","v":699.38410249722915}]
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["MHz",1000000,null,null,null,null,"mm^2",9.9999999999999995E-7]
["GHz",1000000000,null,null,null,null,"cm^3",9.9999999999999995E-7]

{"sheet":"Read Me!","index":3,"n_rows":68,"n_cols":4,"rows_kept":68,"cut":false,"hidden":false,"merged":[[8,0,8,1],[10,0,10,1],[6,3,6,5],[6,0,6,2],[8,3,8,5]]}
["Disclaimer"]
["This thermal estimate tool was written to accompany AN-2020 to provide an (immediate/free) estimate of thermal resistance which is usually accurate to within +-30% for a single component and with very simple airflow restrictions.  "]
["Designs based on this tool should be evaluated in the end environment to determine their suitability. "]
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["Directions (Don't forget to enable Macros under tools/macros/security to allow the visual basic scripts to run)"]
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["Cells in Yellow are Required input parameters",null,null,"Cells in Light Blue are non critical input parameters"]
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["Cells in Grey are calculations",null,null,"Cells in Orange are the results"]
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["Cells in Green are Descriptions"]
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["1)"]
["The thermal resistance estimate is shown  on the top sheet.  This value depends on all of the input parameters including power dissipation, and board size."]
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["2)"]
["Hit the update button to recalculate the thermal resistance after changing input parameters.  This runs an iterative process to fine tune the result."]
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["3)"]
["Enter the device parameters including ThetaJC and Power dissipation internal to the device"]
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["4)"]
["Enter the boar parameters including Board Width and Length, Thickness and Copper weight"]
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["Don't Forget the thermal "]
["Vias.  They are vital to good"]
["board design"]
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[null,"There are also options for heatsinks and airflow.  Leaving these at zero, means no airflow and no heatsink."]

{"sheet":"Bug List","index":4,"n_rows":6,"n_cols":2,"rows_kept":6,"cut":false,"hidden":false,"merged":[]}
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["Version 1.0"]
[null,"Bugs"]
[null,"1) Copper Weight has less impact in calculated value, then measured data shows."]
[null,"2) Automatic Update of copper heatsinking to match board size is not working."]
[null,"3) Power Dissipation has more impact in calculated value, then measured data shows."]