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["CONSTRUCTIVE AND DESTRUCTIVE INTERFERENCE"]
[null,"Demonstrates constructive and destructive interference of waves."]
[null,"Scroll to the right so the \"Constructive Interference\" graph fills the screen. "]
[null,"Just below the graph is a control --- click on the left or right arrows to move the wave pulses."]
[null,"(If there's no control visible, be sure to enable macros --- Excel may have turned them off automatically.)"]
[null,"Hold the button down for continuous motion."]
[null,"A graph of destructive interference is below the arrow control."]
[null,"The width of the pulses can be changed by inserting a new value into cell E2."]
[]
["simple wave pulses"]
["max at…",5,35,"width is",20]
["x","pulse #1","pulse #2","sum","neg pulse#2","sum"]
[0,{"$f":"EXP(-((A13-$B$11)^2)/$E$11)","v":0.28650479686019009},{"$f":"EXP(-((A13-$C$11)^2)/$E$11)","v":2.508782337270435E-27},{"$f":"B13+C13","v":0.28650479686019009},{"$f":"-C13","v":-2.508782337270435E-27},{"$f":"B13+E13","v":0.28650479686019009}]
[1,{"$f":"EXP(-((A14-$B$11)^2)/$E$11)","v":0.44932896411722156},{"$f":"EXP(-((A14-$C$11)^2)/$E$11)","v":7.9027627841276486E-26},{"$f":"B14+C14","v":0.44932896411722156},{"$f":"-C14","v":-7.9027627841276486E-26},{"$f":"B14+E14","v":0.44932896411722156}]
[2,0.63762815162177333,2.2525034268586583E-24,0.63762815162177333,-2.2525034268586583E-24,0.63762815162177333]
[3,0.81873075307798182,5.8092829043327021E-23,0.81873075307798182,-5.8092829043327021E-23,0.81873075307798182]
[4,0.95122942450071402,1.3556580102447515E-21,0.95122942450071402,-1.3556580102447515E-21,0.95122942450071402]
[5,1,2.8625185805493937E-20,1,-2.8625185805493937E-20,1]
[6,0.95122942450071402,5.469114754618021E-19,0.95122942450071402,-5.469114754618021E-19,0.95122942450071402]
[7,0.81873075307798182,9.4548862738865416E-18,0.81873075307798182,-9.4548862738865416E-18,0.81873075307798182]
[8,0.63762815162177333,1.4789930548927071E-16,0.63762815162177344,-1.4789930548927071E-16,0.63762815162177322]
[9,0.44932896411722156,2.093372485519391E-15,0.44932896411722367,-2.093372485519391E-15,0.44932896411721945]
[10,0.28650479686019009,2.6810038677818034E-14,0.2865047968602169,-2.6810038677818034E-14,0.28650479686016328]
[11,0.16529888822158653,3.1068402375434455E-13,0.16529888822189723,-3.1068402375434455E-13,0.16529888822127584]
[12,8.6293586499370495E-2,3.2576989934351024E-12,8.6293586502628195E-2,-3.2576989934351024E-12,8.6293586496112795E-2]
[13,4.0762203978366211E-2,3.0908187484083317E-11,4.0762204009274397E-2,-3.0908187484083317E-11,4.0762203947458026E-2]
[14,1.7422374639493515E-2,2.6534241286428096E-10,1.7422374904835926E-2,-2.6534241286428096E-10,1.7422374374151103E-2]
[15,6.737946999085467E-3,2.0611536224385579E-9,6.7379490602390898E-3,-2.0611536224385579E-9,6.7379449379318442E-3]
[16,2.3578620064902329E-3,1.4487204867720514E-8,2.3578764936951005E-3,-1.4487204867720514E-8,2.3578475192853653E-3]
[17,7.465858083766792E-4,9.2136008345661349E-8,7.4667794438502489E-4,-9.2136008345661349E-8,7.4649367236833352E-4]
[18,2.1390041536766149E-4,5.3020612018242907E-7,2.1443062148784393E-4,-5.3020612018242907E-7,2.1337020924747904E-4]
[19,5.5451599432176945E-5,2.7607725720371986E-6,5.8212372004214147E-5,-2.7607725720371986E-6,5.2690826860139744E-5]
[20,1.300729765406762E-5,1.300729765406762E-5,2.6014595308135241E-5,-1.300729765406762E-5,0]
[21,2.7607725720371986E-6,5.5451599432176945E-5,5.8212372004214147E-5,-5.5451599432176945E-5,-5.2690826860139744E-5]
[22,5.3020612018242907E-7,2.1390041536766149E-4,2.1443062148784393E-4,-2.1390041536766149E-4,-2.1337020924747904E-4]
[23,9.2136008345661349E-8,7.465858083766792E-4,7.4667794438502489E-4,-7.465858083766792E-4,-7.4649367236833352E-4]
[24,1.4487204867720514E-8,2.3578620064902329E-3,2.3578764936951005E-3,-2.3578620064902329E-3,-2.3578475192853653E-3]
[25,2.0611536224385579E-9,6.737946999085467E-3,6.7379490602390898E-3,-6.737946999085467E-3,-6.7379449379318442E-3]
[26,2.6534241286428096E-10,1.7422374639493515E-2,1.7422374904835926E-2,-1.7422374639493515E-2,-1.7422374374151103E-2]
[27,3.0908187484083317E-11,4.0762203978366211E-2,4.0762204009274397E-2,-4.0762203978366211E-2,-4.0762203947458026E-2]
[28,3.2576989934351024E-12,8.6293586499370495E-2,8.6293586502628195E-2,-8.6293586499370495E-2,-8.6293586496112795E-2]
[29,3.1068402375434455E-13,0.16529888822158653,0.16529888822189723,-0.16529888822158653,-0.16529888822127584]
[30,2.6810038677818034E-14,0.28650479686019009,0.2865047968602169,-0.28650479686019009,-0.28650479686016328]
[31,2.093372485519391E-15,0.44932896411722156,0.44932896411722367,-0.44932896411722156,-0.44932896411721945]
[32,1.4789930548927071E-16,0.63762815162177333,0.63762815162177344,-0.63762815162177333,-0.63762815162177322]
[33,9.4548862738865416E-18,0.81873075307798182,0.81873075307798182,-0.81873075307798182,-0.81873075307798182]
[34,5.469114754618021E-19,0.95122942450071402,0.95122942450071402,-0.95122942450071402,-0.95122942450071402]
[35,2.8625185805493937E-20,1,1,-1,-1]
[36,1.3556580102447515E-21,0.95122942450071402,0.95122942450071402,-0.95122942450071402,-0.95122942450071402]
[37,5.8092829043327021E-23,0.81873075307798182,0.81873075307798182,-0.81873075307798182,-0.81873075307798182]
[38,2.2525034268586583E-24,0.63762815162177333,0.63762815162177333,-0.63762815162177333,-0.63762815162177333]
[39,7.9027627841276486E-26,0.44932896411722156,0.44932896411722156,-0.44932896411722156,-0.44932896411722156]
[40,2.508782337270435E-27,0.28650479686019009,0.28650479686019009,-0.28650479686019009,-0.28650479686019009]