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[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,45,71.25,385]
[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,46,71.5,340]
[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,47,71.75,385]
[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,48,72,340]
[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,49,72.25,385]
[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,50,72.5,340]
[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,51,72.75,385]
[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,52,73,340]
[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,53,73.25,385]
[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,54,73.5,340]
[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,55,73.75,385]
[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,56,74,340]
[null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M91+1","v":5},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,57,74.25,385]
[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,58,74.5,340]
[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,59,74.75,385]
[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,60,75,340]
[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,61,75.25,385]
[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,62,75.5,340]
[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,63,75.75,385]
[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,64,76,340]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"center of mass",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,65,76.25,385]
[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,66,76.5,340]
[null,null,null,null,null,null,null,null,null,null,null,null,"position of coil",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,67,76.75,385]
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[null,null,null,null,null,null,null,null,null,null,null,{"$f":"L89","v":20},{"$f":"M89","v":105.20471353540924},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,70,77.5,340]
[null,null,null,null,null,null,null,null,null,1,{"$f":"J91+1","v":2},{"$f":"K91+1","v":3},4,null,{"$f":"N77+1","v":6},7,8,{"$f":"VLOOKUP(1,J100:Y264,16,FALSE)","v":6.1592159928654491},{"$f":"R89+1","v":10},11,12,13,14,15,null,{"$f":"Y89+1","v":17},18,19,20,21,22,23,null,null,null,null,null,null,71,77.75,385]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"vcoil",{"$f":"R91","v":6.1592159928654491},null,null,null,null,null,null,null,null,"instant XCOIL",null,null,null,null,null,null,null,null,null,null,null,72,78,340]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,{"$f":"VLOOKUP(1,J100:T263,11,FALSE)","v":20},{"$f":"VLOOKUP(1,J100:Y262,16,FALSE)","v":6.1592159928654491},{"$f":"VLOOKUP(1,J100:Z264,10,FALSE)","v":160},null,1,{"$f":"VLOOKUP(1,J100:Y263,10,FALSE)","v":160},{"$f":"100+V93","v":260},{"$f":"PERIECH(W93,21)","v":173.71624796978236},null,1,{"$f":"VLOOKUP(Z93,J100:AB261,11,FALSE)","v":20},{"$f":"VLOOKUP(1,J100:AB262,19,FALSE)","v":105.20471176345255},{"$f":"magnet_length+ABS(magnet_x9)+DX_2","v":165.20471176345256},null,null,null,null,null,null,null,null,null,73,78.25,385]
[null,null,null,null,null,null,null,null,null,null,"poisition of magnet",null,{"$f":"VLOOKUP(L95,K100:S261,2,FALSE)","v":0},"in screen coordinates",null,null,{"$f":"Q93","v":20},null,null,null,null,{"$f":"V93","v":160},{"$f":"W93+1","v":261},{"$f":"PERIECH(W94,21)","v":174.7066361806437},null,null,{"$f":"AA93","v":20},{"$f":"AB93","v":105.20471176345255},null,null,null,null,null,null,null,null,null,null,74,78.5,340]
[null,null,null,null,null,null,null,null,null,"time",{"$f":"1","v":1},{"$f":"VLOOKUP(K95,J100:T261,11,FALSE)","v":20},{"$f":"M96","v":173.71624796978236},{"$f":"ABS(magnet_x9)+M95","v":193.71624796978236},null,null,null,{"$f":"VLOOKUP(1,J100:X264,15,FALSE)","v":7.9231058963420153},null,{"$f":"(VARXI*magnet_mass)/(magnet_mass+ coil_mass)","v":6.666666666666667},null,null,"DXX",{"$f":"X94-X93","v":0.99038821086134021},null,null,"instant XMAG",null,null,"instant i",null,null,null,null,null,null,null,null,75,78.75,385]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"L95","v":20},{"$f":"VLOOKUP(K95,J100:U261,12,FALSE)","v":173.71624796978236},null,null,null,"vmagnet",{"$f":"R95","v":7.9231058963420153},null,null,null,null,null,null,null,1,{"$f":"VLOOKUP(Z96,J101:AA264,11,FALSE)","v":20},{"$f":"VLOOKUP(1,J100:AB265,18,FALSE)","v":191.21625144420724},1,{"$f":"VLOOKUP(AC96,J100:T264,11,FALSE)","v":20},{"$f":"VLOOKUP(1,J100:AE265,22,FALSE)","v":7.8062036947525875E-4},null,null,null,null,null,null,null,76,79,340]
[null,null,null,null,null,null,null,null,null,null,{"$f":"K95","v":1},{"$f":"VLOOKUP(K97,J100:T263,11,FALSE)","v":20},{"$f":"M96","v":173.71624796978236},null,null,1,{"$f":"VLOOKUP(1,J100:T263,11,FALSE)","v":20},null,null,null,null,null,null,null,"v coil",null,{"$f":"AA96","v":20},{"$f":"AB96","v":191.21625144420724},null,{"$f":"AD96","v":20},{"$f":"AE96","v":7.8062036947525875E-4},null,null,null,null,null,null,null,77,79.25,385]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"L97","v":20},null,null,null,null,{"$f":"Q97","v":20},null,null,{"$f":"O16","v":160},null,null,null,null,null,null,null,{"$f":"magnet_length+DX_1","v":231.21625144420724},null,null,null,null,null,null,null,null,null,null,78,79.5,340]
[null,null,null,null,null,null,null,null,null,null,"KINHSH MAGNHTH","coil motion","kinhsh pinioy",null,"vmagnet","vcoil","vcenter of mass",null,null,"XRONOS","Position of Magnet","position of coil","Position of center of mass","v magnet","v coil","v center of mass",null,{"$f":"CELL(\"contents\")","v":0},null,null,null,null,null,null,null,null,null,null,79,79.75,385,null,null,null,null,null,"Magn vel",null,null,null,null,null,"Coil vel"]
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[null,null,null,null,null,null,null,null,null,0,"",null,null,null,null,null,null,null,3,0.375,-12.500067544449347,3.4447669167207611E-5,-4.2218543046357615,19.999376147371645,3.1816484046125518E-4,6.7549668874172193,4.999935929975539,3.2675712474863295E-5,6.6664804954067014,null,-0.10436345168576071,null,null,null,null,null,null,null,83,80.75,385]
[null,null,null,null,null,null,null,null,null,0,"",null,null,null,null,null,null,null,4,0.5,-10.000210962860512,1.0759105885692772E-4,-3.3774834437086119,19.998057715501076,9.9056509443631977E-4,6.7549668874172086,7.4997925115643742,1.058191021645834E-4,6.6660924992324402,null,-0.19588008313214861,null,null,null,null,null,null,null,84,81,340]
[null,null,null,null,null,null,null,null,null,0,"",null,null,null,null,null,null,null,5,0.625,-7.5007111731604139,3.6269831180126677E-4,-2.5331125827814636,19.992562948739284,3.7928961429561864E-3,6.7549668874172122,9.9992923012644717,3.6092635510892249E-4,6.6643997594734019,null,-0.42440257041721868,null,null,null,null,null,null,null,85,81.25,385]
[null,null,null,null,null,null,null,null,null,0,"",null,null,null,null,null,null,null,6,0.75,-5.0030700343236374,1.5657175050400893E-3,-1.6887417218543146,19.959375286706468,2.0718603779673699E-2,6.7549668874172006,12.496933440101248,1.563945548347745E-3,6.6537854722984475,null,-1.1266805106153299,null,null,null,null,null,null,null,86,81.5,340]
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[null,null,null,null,null,null,null,null,null,0,"",null,null,null,null,null,null,null,8,1,-0.17382223961341262,8.8649342202818102E-2,-1.4787656015081763E-14,17.425234695694172,1.3131303051959289,6.75496688741719,17.326181234811475,8.8647570246125754E-2,5.8222239677511736,null,-6.6342713879054136,null,null,null,null,null,null,null,88,82,340]
[null,null,null,null,null,null,null,null,null,0,"",null,null,null,null,null,null,null,9,1.125,1.8249545047432756,0.34427320258090138,0.84437086092713376,14.92577193007647,2.5878563156609564,6.75496688741719,19.324957979168161,0.34427143062420906,5.0960599625775531,null,-3.7044729771535447,null,null,null,null,null,null,null,89,82.25,385]
[null,null,null,null,null,null,null,null,null,0,"",null,null,null,null,null,null,null,10,1.25,3.6347487821017066,0.69627812112809739,1.6887417218542833,14.201555123461082,2.9572068870348023,6.7549668874171873,21.134752256526593,0.69627634917140502,5.6092719112843135,null,-1.7057365634482853,null,null,null,null,null,null,null,90,82.5,340]
[null,null,null,null,null,null,null,null,null,0,"",null,null,null,null,null,null,null,11,1.375,5.3968775703460885,1.0725924391234585,2.5331125827814329,14.030822190815714,3.0442806826839464,6.7549668874171918,22.896881044770975,1.0725906671667662,6.4021782740458759,null,-0.84513308941552345,null,null,null,null,null,null,null,91,82.75,385]
[null,null,null,null,null,null,null,null,null,0,"",null,null,null,null,null,null,null,12,1.5,7.1473069035724013,1.4548734791780364,3.377483443708583,13.98514963717559,3.0675736850404105,6.7549668874171935,24.647310377997286,1.4548717072213442,6.6331878037483989,null,-0.45801152999605499,null,null,null,null,null,null,null,92,83,340]
[null,null,null,null,null,null,null,null,null,0,"",null,null,null,null,null,null,null,13,1.625,8.8943933826492696,1.8388593748488342,4.2218543046357366,13.970753253611569,3.0749158406580563,6.75496688741719,26.394396857074156,1.838857602892142,6.6864382063264882,null,-0.26861003167484626,null,null,null,null,null,null,null,93,83.25,385]
[null,null,null,null,null,null,null,null,null,0,"",null,null,null,null,null,null,null,14,1.75,10.640359231129898,2.22341679212371,5.0662251655628863,13.96551187594625,3.0775889432673704,6.7549668874171909,28.140362705554786,2.2234150201670175,6.70021974867569,null,-0.16784669101049651,null,null,null,null,null,null,null,94,83.5,340]
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{"sheet":"coil","index":4,"n_rows":151,"n_cols":15,"rows_kept":151,"cut":false,"hidden":false,"merged":[]}
["CALCULATIONS FOR SHEET \"MONOPOLE\"",null,null,{"$f":"d","v":30},null,10,null,0.1,-40,30,5,5,{"$f":"M4/10","v":1.5}]
[null,"ypologismos(arxi, x1, t, q, d, r, ve, epit) ",null,null,null,null,null,"time","beginning","length of magnet","speed","radius of coil","acceleration",null,{"$f":"-ve/acceleration","v":-3.3333333333333335}]
[null,null,null,"emf due to +",null,"emf due to -","V(+)+V(-)","Flux in a coil"]
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[{"$f":"IF(I5=$L$4,1,0)","v":0},{"$f":"B4+xronos","v":0.1},-39.4925,8.1640205692569257E-5,-69.492500000000007,-1.5227538846878935E-5,{"$f":"F5+D5","v":6.6412666845690321E-5},4.9759678606817154E-2,{"$f":"I4+1","v":2}]
[0,{"$f":"B5+xronos","v":0.2},-38.97,8.7387238145243063E-5,-68.97,-1.6028041620395149E-5,7.1359196524847915E-5,5.1086615599828737E-2,{"$f":"I5+1","v":3}]
[0,0.30000000000000004,-38.432499999999997,9.3619616447819425E-5,-68.432500000000005,-1.6871000747031213E-5,7.674861570078821E-5,5.2507569747625243E-2,4]
[0,0.4,-37.880000000000003,1.0039356190267983E-4,-67.88,-1.7759778634517858E-5,8.263378326816198E-5,5.4030596859103303E-2,5]
[0,0.5,-37.3125,1.0777318431932819E-4,-67.3125,-1.8698044169073502E-5,8.9075140150254693E-5,5.5664696225871751E-2,6]
[0,0.6,-36.729999999999997,1.1583181680464094E-4,-66.72999999999999,-1.9689806966224837E-5,9.6142009838416108E-5,5.741994470650312E-2,7]
[0,0.7,-36.1325,1.2465361454648498E-4,-66.132499999999993,-2.0739456023812241E-5,1.0391415852267274E-4,5.9307653780878274E-2,8]
[0,0.79999999999999993,-35.520000000000003,1.3433547781088273E-4,-65.52000000000001,-2.1851803428778176E-5,1.1248367438210455E-4,6.1340554176414118E-2,9]
[0,0.89999999999999991,-34.892499999999998,1.4498937500088147E-4,-64.892499999999998,-2.3032133878154079E-5,1.2195724112272739E-4,6.3533013731500193E-2,10]
[0,0.99999999999999989,-34.25,1.5674516182215617E-4,-64.25,-2.428626090383775E-5,1.3245890091831842E-4,6.5901295504614266E-2,11]
[0,1.0999999999999999,-33.592500000000001,1.6975401885832234E-4,-63.592500000000001,-2.5620590844514504E-5,1.4413342801380784E-4,6.8463864843438249E-2,12]
[0,1.2,-32.92,1.8419266421086265E-4,-62.92,-2.7042195791613536E-5,1.5715046841924911E-4,7.1241756306954285E-2,13,null,null,null,null,null,80]
[0,1.3,-32.232500000000002,2.002685430941664E-4,-62.232500000000002,-2.8558896955910326E-5,1.7170964613825608E-4,7.4259014133102749E-2,14]
[1,1.4000000000000001,-31.53,2.1822625625282188E-4,-61.53,-3.0179360165206375E-5,1.8804689608761549E-4,7.7543223564476516E-2,15]
[0,1.5000000000000002,-30.8125,2.383555691620906E-4,-60.8125,-3.191320552127392E-5,2.0644236364081669E-4,8.1126155056402666E-2,16]
[0,1.6000000000000003,-30.08,2.6100145173862363E-4,-60.08,-3.3771133628200165E-5,2.2723031811042345E-4,8.5044549567259042E-2,17,null,null,null,"INSTANT EMF FOR MAGNET"]
[0,1.7000000000000004,-29.3325,2.8657674443690321E-4,-59.332499999999996,-3.5765071269730393E-5,2.5081167316717281E-4,8.9341081284118301E-2,18,null,null,{"$f":"M35","v":1.4000000000000001},{"$f":"VLOOKUP(1,A4:I151,7,FALSE)","v":1.8804689608761549E-4}]
[0,1.8000000000000005,-28.57,3.1557824645817083E-4,-58.57,-3.7908339979439983E-5,2.7766990647873086E-4,9.4065544983614635E-2,19,null,null,{"$f":"L21","v":1.4000000000000001},{"$f":"M21","v":1.8804689608761549E-4}]
[0,1.9000000000000006,-27.792499999999997,3.4860729747806824E-4,-57.792499999999997,-4.0215851638828225E-5,3.0839144583924002E-4,9.9276329774891467E-2,20]
[0,2.0000000000000004,-27,3.8639630807916689E-4,-57,-4.270433608544607E-5,3.4369197199372083E-4,0.10504226064714213,21]
[0,2.1000000000000005,-26.192499999999995,4.298432335212186E-4,-56.192499999999995,-4.5392606755016098E-5,3.8445062676620252E-4,0.11144491609573684,22,null,null,null,"INSTANT FLUX"]
[0,2.2000000000000006,-25.369999999999994,4.8005675147299936E-4,-55.36999999999999,-4.8301871668076969E-5,4.317548798049224E-4,0.11858156709274381,23,null,null,{"$f":"M35","v":1.4000000000000001},{"$f":"VLOOKUP(1,A4:H151,8,FALSE)","v":7.7543223564476516E-2}]
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[null,"CALCULATIONS FOR THE COIL IN SHEET \"MAGNET\"",null,null,null,null,null,null,null,20,null,90]
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