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Which of the following circuits would have an equivalent resistance equal to that of the circuit depicted above?a. IMAGE IS NOT AVAILABLE TO COPYb. IMAGE IS NOT AVAILABLE TO COPYc. IMAGE IS NOT AVAILABLE TO COPYd. IMAGE IS NOT AVAILABLE TO COPY

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Chapter 1

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circuits is the many ways and arrangements that you can take resistors and show them. Um And I'll show you some of the things that you can do with a simple arrangement of resistors in series and parallel that might confuse some people. Um But certainly the order in which the resistors are drawn can be rearranged and so that's something to get used to. So here we have um two Ohm resistor in series with her battery and a couple of resistors in parallel, followed by another set of resistors in parallel. And it is important to realize that the order of those does not matter at all. Um So you can for example take that too series resistor and move it In between the other two and moving any group of resistors into a different position in series with that battery does not change either the main current that flows through the battery. And of course it doesn't change the individual currents that flow through those uh individual resisters. So there's there's four individual resisters. Um No change. Yeah. So important conclusion, the water of the resistors does not matter. And likewise, uh It's important to realize that you can reverse the order of the parallel resistors as well. Um And again there will be no change. So for example you can take the last set of parallel resistors and you can just flip the top and the bottom. It's a three OEMs. So no difference there. And you might ask why can you do that? Um Electrically speaking, you still have the same potential difference across um Those two resistors no change two delta v. Um So the important thing to realize about series series means um same current through all the components. And so it should not matter what order to arrange them in. Whereas parallel means the same potential difference between the top and the bottom of resistors connected this way. Uh And so it shouldn't matter, you know which, how you've drawn them, we'll put it that way. Um There's one last thing you can do to this circuit. You can make any of those resistors a little bit more complicated. For example, you could take the two ohm resistor uh and turn it into a series. You can do this to any of them, but you can take it and turn it into a on one own plus a one ohm. You could even do one half Plus one of all. And there will again be no change to the circuit if you take any of those resistors and swap them out with an equivalent resistance. Um And as one last example, you can take that to OEMs and even make it a more complicated parallel situation, like a three homes In parallel with six homes. Okay, so lots of ways to rearrange resistors. I'm not going to show too many different ways to draw them. One of the things teachers like to do to confuse students is instead of drawing a square uh huh Or rectangular type situation with two resistors in parallel, um say the 1.5 and the three homes is to just make the wires look a little bit different. Um Put one of those resistors at a diagonal to the other and that should not matter either. A wire is a wire, regardless of how it's bent. Um The important thing is how the two components are connected, hum. Mhm.

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