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wt i = 0,5 Seno (wt) -90 -0.5 -1 0 -1 -60 -0.4330133141 -0.8660266282 0.5000010604 -0.36602557 -30 -0.2500005302 -0.5000010604 0.8660266282 0.36602557 0 0 0 1 1 30 0.2500005302 0.5000010604 0.866022955 1.36602402 60 0.4330133141 0.8660266282 0.4999946982 1.36602133 90 0.5 1 0 1 120 0.4330114775 0.866022955 -0.5000074225 0.36601553 150 0.2499973491 0.4999946982 -0.8660303013 -0.3660356 180 0 0 -0.9999999999 -1 210 -0.2500037113 -0.5000074225 -0.8660192817 -1.3660267 240 -0.4330151507 -0.8660303013 -0.499988336 -1.36601864 270 -0.5 -0.9999999999 0 -1 300 -0.4330096409 -0.8660192817 0.5000137847 -0.3660055 330 -0.249994168 -0.499988336 0.8660339745 0.36604564 360 0 0 0.9999999998 1 V R = Seno (wt) V L =Seno (wt+90) V R + V L

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Hoja1wti = 0,5 Seno (wt) VR= Seno (wt)VL=Seno (wt+90)VR + VL-90-0.5-10-1-60-0.4330133141-0.86602662820.5000010604-0.3660255678-30-0.2500005302-0.50000106040.86602662820.366025567800011300.25000053020.50000106040.8660229551.3660240153600.43301331410.86602662820.49999469821.3660213264900.51-011200.43301147750.866022955-0.50000742250.36601553241500.24999734910.4999946982-0.8660303013-0.3660356032180-0-0-0.9999999999-1210-0.2500037113-0.5000074225-0.8660192817-1.3660267042240-0.4330151507-0.8660303013-0.499988336-1.3660186373270-0.5-0.99999999990-1300-0.4330096409-0.86601928170.5000137847-0.3660054971330-0.249994168-0.4999883360.86603397450.3660456385360000.99999999981ti = 1,25 Seno (200t-90) VR= 6,25Seno (200t-90)VL=15Seno (200t)VR + VL0-1.25-6.250-6.25wtV1= 35 sen (wt+45) V2=100 Seno (wt-30)v1-v20.1-1.1746169974-5.8730849875.1303136555-0.7427713315-90-24.7487827951-86.602295497161.8535127020.2-0.9575571935-4.78778596779.64183290424.8540469365-60-9.0586872755-99.999999999390.94131272380.3-0.6250013255-3.125006627312.99039942289.8653927955-309.0586872755-86.602662818495.66135009390.4-0.2170607245-1.085303622514.772124799713.6868211772024.7487827951-50.000106036374.74888883130.50.21706072451.085303622514.772105664315.85740928683033.8074316486033.80743164860.60.62500132553.125006627312.9903443246166033.807365099750.0001060363-16.19274093650.70.95755719354.78778596779.641748488914.42953445669024.748600980486.6026628184-61.8540618380.81.17461699745.8730849875.130210104911.00329509181209.058438912299.9999999993-90.94156108710.91.256.25-0.00011019626150-9.058935638386.6022954971-95.661231135311.17461385665.873069283-5.13041720580.7426520772180-24.748964608549.9994698176-74.7484344261.10.95755129084.787756454-9.641917319-4.854160865210-33.8074981956-0.000734641-33.80676355461.20.62499337273.1249668636-12.9904545202-10240-33.8072985491-50.000742252216.19344370321.30.2170516811.085258405-14.7721439343-14270-24.7484191643-86.60303013561.85461097061.4-0.217069768-1.08534884-14.7720865281-16300-9.0581905485-99.999999993990.94180944541.5-0.6250092782-3.1250463908-12.9902892257-163309.0591840006-86.601928171195.661112171736024.7491464205-49.998833596274.7479800167ti = 3 Seno (200t) VR=15Seno (200t)VL=36Seno (200t+90)VR + VL00035.999999999835.99999999980.11.02606273115.130313655533.828879070338.9591927258wtV1= 35 sen (wt+45) V2=100 Seno (wt-30)V2-V10.21.92836658089.641832904227.577477175237.2193100794-90-24.7487827951-86.6022954971-61.8535127020.32.598079884612.990399422817.999809134330.9902085571-60-9.0586872755-99.9999999993-90.94131272380.42.954424959914.77212479976.251088412621.0232132123-309.0586872755-86.6026628184-95.66135009390.52.954421132914.7721056643-6.25160931838.520496346024.7487827951-50.0001060363-74.74888883130.62.598068864912.9903443246-18.0002672108-53033.80743164860-33.80743164860.71.92834969789.6417484889-27.5778171714-17.93606868256033.807365099750.000106036316.19274093650.81.0260420215.1302101049-33.8290599775-28.69884987279024.748600980486.602662818461.8540618380.9-0.0000220392-0.0001101962-35.9999999978-361209.058438912299.999999999390.94156108711-1.0260834412-5.1304172058-33.8287886139-38.9592058198150-9.058935638386.602295497195.66123113531.1-1.9283834638-9.641917319-27.5773071748-37.2192244938180-24.748964608549.999469817674.7484344261.2-2.598090904-12.9904545202-17.9995800946-31210-33.8074981956-0.00073464133.80676355461.3-2.9544287869-14.7721439343-6.2508279593-21240-33.8072985491-50.0007422522-16.19344370321.4-2.9544173056-14.77208652816.2518697706-9270-24.7484191643-86.603030135-61.85461097061.5-2.5980578451-12.990289225718.00049624765300-9.0581905485-99.9999999939-90.94180944543309.0591840006-86.6019281711-95.661112171736024.7491464205-49.9988335962-74.7479800167ti = 8,5 sen (300t+15) VT=255 Seno (300t+45)02.1999669098180.31256036420.16.0104186788246.31128772530.28.2103762575246.31080286960.38.2103600957180.31123571410.46.010374523865.99719778920.52.199906593-66.00081679320.6-2.2000272264-180.31388500450.7-6.0104628335-246.31177256780.8-8.2103924189-246.31031800050.9-8.2103439333-180.30991105441-6.0103303685-65.99538828191.1-2.199846276166.00262628981.22.200087543180.3152096351.36.0105069878246.3122573971.48.2104085799246.30983311811.58.2103277706180.3085863849

tV = 100 cos (2000t-20) i=5 cos (2000t+33,08)093.96923416064.18954277110.011003.00348799690.0293.96923416061.45516656650.0376.6043393744-0.26867024030.0449.9997879273-1.9601013010.0517.3644962199-3.41511412230.06-17.3652197-4.45821187190.07-50.0004241446-4.96358098420.08-76.6048115914-4.87026620380.09-93.9694854206-4.18952272230.1-99.9999999973-3.00345863040.11-93.9689828954-1.45513142440.12-76.60386715330.26870691930.13-49.99915170721.96013509280.14-17.36377273883.41514095120.1517.36594317924.45822850190.1650.00106035924.96358540940.1776.60528380434.87025789050.1893.96973667564.18950267320.1999.99999998923.00342926380.293.96873162521.45509628230.2176.603394928-0.2687435983tV = 150cos (200t-30) i=4,48 cos (200t-56,6)0129.90371873742.46614507580.03137.03175888522.84358554990.06142.65844339183.18987096010.09146.7221248363.50120731320.12149.17828046573.77418352710.151504.00580880330.18149.17828046574.19354539490.21146.7221248364.33533641090.24142.65844339184.4296283520.27137.03175888524.47538813110.3129.90371873744.47211439220.33121.35241961284.41984300330.36111.47155177174.31914666320.39100.36937257584.17112862740.4288.1675203923.97741061980.4574.99968189093.74011506560.4861.01012734083.46184183660.5146.3521299453.14563976680.5431.18628654072.79497324840.5715.67875805842.41368427510.6-0.00055098082.00595034820.63-15.67985398331.57623870680.66-31.18736442161.12925738370.69-46.35317797240.66990362250.72-61.01113403230.20321022270.75-75.0006362169-0.26570960120.78-88.1684118966-0.73171824150.81-100.3701914915-1.18970998610.84-111.4722891263-1.63466695830.87-121.3530673275-2.06171409360.9-129.9042697159-2.46617255220.93-137.0322070907-2.8436109820.96-142.6587839135-3.18989406920.99-146.7223539433-3.50122784621.02-149.1783956483-3.7742012591.05-149.999999996-4.00582353981.08-149.1781652751-4.19355697461.11-146.7218957208-4.33534470681.14-142.6581028623-4.4296332733

Hoja2WLCXLXCXL-XCW050510.0015-200-195520.00210-100-90530.00315-66.6666666667-51.6666666667540.00420-50-30550.00525-40-15560.00630-33.3333333333-3.33333333332.9735401936570.00735-28.57142857146.42857142862.5487487374580.00840-2515590.00945-22.222222222222.77777777785100.0150-20305110.01155-18.181818181836.81818181825120.01260-16.666666666743.33333333335130.01365-15.384615384649.61538461545140.01470-14.285714285755.7142857143WLCXLXCXL-XCW050510.001-0.20.005-0.195520.002-0.10.01-0.09530.003-0.06666666670.015-0.0516666667540.004-0.050.02-0.03550.005-0.040.025-0.015560.006-0.03333333330.03-0.00333333332.9735401936570.007-0.02857142860.0350.00642857142.5487487374580.008-0.0250.040.015590.009-0.02222222220.0450.02277777785100.01-0.020.050.035110.011-0.01818181820.0550.03681818185120.012-0.01666666670.060.04333333335130.013-0.01538461540.0650.04961538465140.014-0.01428571430.070.0557142857WLCXLXCBW0B5-15-0.015-7513.3333333333-0.01621621621.18941607740.00426859625-14-0.014-7014.2857142857-0.01794871791.27437436870.00457740155-13-0.013-6515.3846153846-0.02015503881.37240316630.00493473285-12-0.012-6016.6666666667-0.02307692311.48677009680.00535310945-11-0.011-5518.1818181818-0.02716049381.62193101470.00584980735-10-0.01-5020-0.03333333331.78412411620.00644938355-9-0.009-4522.2222222222-0.0439024391.98236012910.00718801725-8-0.008-4025-0.06666666672.23015514520.00812143325-7-0.007-3528.5714285714-0.15555555562.54874873740.00934045935-6-0.006-3033.33333333330.32.97354019360.01100465515-5-0.005-25400.06666666673.56824823230.01342513225-4-0.004-20500.03333333334.46031029040.01731123535-3-0.003-1566.66666666670.01935483875.94708038720.02477131735-2-0.002-101000.01111111118.92062058085-1-0.001-52000.005128205117.84124116155000-10025404387885600-0ERROR:#DIV/0!ERROR:#DIV/0!510.0015-200-0.005128205117.8412411615520.00210-100-0.0111111111-8.9206205808-0.0469838587530.00315-66.6666666667-0.0193548387-5.9470803872-0.0247713173540.00420-50-0.0333333333-4.4603102904-0.0173112353550.00525-40-0.0666666667-3.5682482323-0.0134251322560.00630-33.3333333333-0.3-2.9735401936-0.0110046551570.00735-28.57142857140.1555555556-2.5487487374-0.0093404593580.00840-250.0666666667-2.2301551452-0.0081214332590.00945-22.22222222220.043902439-1.9823601291-0.00718801725100.0150-200.0333333333-1.7841241162-0.00644938355110.01155-18.18181818180.0271604938-1.6219310147-0.00584980735120.01260-16.66666666670.0230769231-1.4867700968-0.00535310945130.01365-15.38461538460.0201550388-1.3724031663-0.00493473285140.01470-14.28571428570.0179487179-1.2743743687-0.0045774015

Hoja3ti = 10Coseno (377t-10) V= 120Coseno(377t+ 45)P(t)=344,2+600Coseno (754t+35)09.848076821484.8526579013835.69073497130.18.8539310024119.0273285679135.05423768690.24.1627836533103.5015649628-252.72796548640.3-2.266554057944.7582244505252.41481921480.4-7.7494812066-32.674128234894.85604891830.5-9.9965751565-96.4632413178713.58893484750.6-8.0695510069-119.9736634284-20.2349854720.7-2.7730469719-93.3885045889-208.91255011950.83.681356181-27.8085259051429.79282867780.98.598591331449.3830366945940.462699125319.9254432611105.9544744967559.20273185331.17.1078785568118.2841112027-143.67277838731.21.3223849381.2236476272-116.75538242561.3-5.015276892810.247858817599.69006894841.4-9.2587856958-65.0069727953933.95629618121.5-9.6362439418-113.1178298474386.0254007052