![]() Total wave would look like this in that region, and now in this region theīlue wave is one unit high, the pink wave is two units high, one plus two is three, so So, over here we have zero,Īnd zero plus zero is zero. We're gonna add up bothĬontributions to get the total. How does this get harder? Well, let's say we ask the question what do these two waves look like when they're only partially overlapping? So, maybe when they get to this point, where they're only halfway overlapped, what's that total wave gonna look like? We're still gonna use this rule. Three unit high wave, while those two waves are overlapping. The wave actually look like? The string, if this were a string, would actually look like this. Overlapping, so one unit high plus two units high is gonnaīe equal to three units high. The pink wave, we'll call that wave two, has a value of two units high. The blue wave, we'll call that wave one, has a value of one unit high. Total wave's gonna look like I just add up the contributionsįrom each individual wave. It could be meters or centimeters,īut it doesn't matter. So, we'll call this one unit high, and this is gonna be two units high, and this is gonna be three units high. Let's put a little backdrop here, so we can add these up. You can kinda just look at the picture and figure out what the ![]() But a lotta times you don't have to resort to the full blown mathematics Two wave equations here, add 'em up, and you getĪ total wave equation. With the wave equations you could just plug in those Height of the second wave, and I'll call that Y2. Height of the first wave, I'll call that Y1, plus the I wanna know the height of the total wave, I'm Out what the total wave is gonna look like is simplyīy adding up the contributions of the two waves that are overlapping. ![]() There can only be one stringĪnd one shape of that string. So, what's gonna happen? Well, the string can'tīe in two places at once. This is the term, wave interference, for when two or more waves Then another wave's gonna move over the top of that one. These pulses overlap? Well, let's just find out if I take one, and I move this here, and So, what would happen? What would happen when String underneath a pulse we're just gonna pretend like Really long, so let's just any time there's a Strings in the same spot, so this wouldn't be, the string up there, and then it comes back down, but in these examples I don't wanna have toĮrase these all the time. It got disturbed, then itĬomes back down to zero, and then there shouldn't There's only one string, so this should be string coming here, and then there's a pulse up this way, so this string shouldn't be here. So, to be clear, this is the same string. So, you got this wave coming in this way and then another wave coming in this way. Is just gonna make it easier for us to analyze. Let's say it could be a sound wave, an electromagnetic wave, any wave at all. To do this on a string, but this doesn't have to be a string. Wave coming in this way, and yes, this is square. ![]() The line toward the first wave, what would happen when they overlap? So, let's try to figure this out. Other end of this string also sent a wave pulse down But here's a question, if someone else on the Say you had a string here, and you give that string a
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