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View Policies Current Attempt in ProgressFind the equivalent resistance between points Aand Bin the drawing;Ri -18 0 R2 -9 MM MR4 -23 0 MR3 -54 0NumberUnits...

Question

View Policies Current Attempt in ProgressFind the equivalent resistance between points Aand Bin the drawing;Ri -18 0 R2 -9 MM MR4 -23 0 MR3 -54 0NumberUnits

View Policies Current Attempt in Progress Find the equivalent resistance between points Aand Bin the drawing; Ri -18 0 R2 -9 MM M R4 -23 0 M R3 -54 0 Number Units



Answers

Find the equivalent resistance between points A and B in the drawing.

In this problem. There are four registers are one are two are three and are for combined in the combination of Syria's in parallel. And we actually want to find their instance between the point A and point B. Right? So first of all, you can see that our one and our two are in Siri's. So that means our 12 is going to be called to our one plus are too, which is gonna be 16 plus eight equals 24. Okay, Now, this is going to simplify the circuit. This circuit is gonna look like this port a point B are one too, are three are for, so you can see that I want to is in peril with our three. So that means are 123 is going to be called to our 12 parallel are three, which is our 12 times are three over our 12 plus our three. And our want to is 24 old times 48 ohm over 24 a one plus 48 home because 80 tool. Right. And this is gonna be called to 16 home Now. The simply fight circuit is gonna look like this. Put A and B, this is our four. And this is our 123 Sorry about that. Actually, this is opposite. This is our 123 And this is our for so the total of this servicers, which I'm going to call our 1234 it calls are 123 plus are for which is gonna be cool to 16 home plus 26 home. And that's gonna be cool, too. 42.

So in this problem, in the figure, there are six different registers combined in different ways. So I'm labeling them. Our one our to our three are for our five and six. Your choice, whether you want a level are one as our to our three or whatever, you just choose the way you want. So we want to find the resistance across A and B, which is our baby. So start with where you can simplify it. Actually, I see that are one, and our two are in serious with each other in our three and our for our in parallel with each other. So I'm gonna start with that, so I'm gonna find our 12 he caused are one plus are, too, which is gonna be four plus six. Oh, it is 10 home, right? Similarly, our 34 your calls are three parallel are for, and this is gonna be called to our three times are four over are three plus are for and this is going to give me a 4.24 Oh, now I'm gonna simplify the circuit. Instead of writing thes two racers, I'm gonna write down our 34 and similarly for our one and are too. I'm gonna write down our 12 So let's do that next speech. So the next phase is gonna look like this. This is our 34 and this is our six. And this is our 12 and is to our point A and B. Okay, so are one, too. Are 34 are five and our six. So that's the simplified circuit. Now, Now you can see that our 34 and are one to our internal with each other. So let's find that out. Are 1234 calls. Our one to Carollo are 34 which is our 12 times are 34 over. Ah, 12 plus our 34 And this is 10. Home times 4.24 ohm over 10. Home plus 4.24 is gonna be 14.24 ohm. And this is going to give me 2.980 now we can further simplify the circuit now instead of Friday are 12 parallel to our 34 We're gonna combine this and dried it are 1234 Okay, so the new circuit is gonna look like this. So are six is here. Sorry about that. This is our 1234 And that's our five. And this is our six. And this is point A and B. Her five are six. So you can see that are five and are 1234 are in serious with each other. So that's gonna be our 12345 Because are 1234 plus are five. And that's gonna be cool too. 2.98 home plus three. Or was his 5.98 home Now the simplified circuit is gonna look like this. So this guy over here is our six. And this guy over here is our 12345 point a point B. Okay, Now these two are in power, loaded each other. So the total resistance, which is our 123456 is going to be called T O. R. 12345 Carol to our six, which is gonna be cool too. Are 12345 was 5.98 home and are six. Is 20 year old over 5.980 plus 20 0 and this is going to give me 4.6 home

In this question, we need to determine the equivalent resistance between points A and B, given this resistant network. So with this resistant network, we can redraw, uh to. Okay, so this is 2.4 rooms. This 1.8. You can combine the two resistors over here to become one in 10.6 home resistor. Then this is 3.61 Okay, so you can see that. Here we have. Ah, I have a lot of network parallel arrangements. Okay. So we can find a equivalent resistance. Need to be so 2.4 plus 3.6 plus, uh, 1/1 0.8 class, one of 8.6 universe. And then you do this, you get 7.49 homes. Okay? And this is the answer for this question. Done.


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