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[-/15 Points]DETAILSsercP9 18.P.005.MI.FB .MY NOTESPRACTICE ANOTHERConsider the following figure.00 J M4.00 H9.00 4Find the equlvalent resistance Detween pointsthe ...

Question

[-/15 Points]DETAILSsercP9 18.P.005.MI.FB .MY NOTESPRACTICE ANOTHERConsider the following figure.00 J M4.00 H9.00 4Find the equlvalent resistance Detween pointsthe figure16.0 02)(b) Calculate the current I(4.00 @) I(7.0o (16.0 9) 1 (9.00 0)each resistorpotentlal alfrerenceJ0.0applled between pointsNeed Help?Lee

[-/15 Points] DETAILS sercP9 18.P.005.MI.FB . MY NOTES PRACTICE ANOTHER Consider the following figure. 00 J M 4.00 H 9.00 4 Find the equlvalent resistance Detween points the figure 16.0 02) (b) Calculate the current I(4.00 @) I(7.0o (16.0 9) 1 (9.00 0) each resistor potentlal alfrerence J0.0 applled between points Need Help? Lee



Answers

Using Kirchhoff's rules, (a) find the current in each resistor in Figure P28.24. (b) Find the potential difference between points $c$ and $f .$ Which point is at the higher potential? FIGURE CANT COPY

Okay. So since we need to know the current through East Resister in this figure, we can see that Ah, each resistance has value off three point two five kilograms and the voltage of the barriers to airports. Now, to get the current, we first need to find the total current that's passing through the circuit. Because if we look at this resistance that this is in serious connection with this guy, so that means And since this is directly connected to the battery, that means the whole current is passing through our sick. So that means we need to know the full current and to do so, we can actually simplified the circuit. And as you can see, I've simplified the circuit till this and and, ah, let me explain what I did here. So, first of all, as you can see between A and B ah are one and arteries in serious connections. So I replaced our wanna now to buy our one two and then ah, the rest of the circuit is the same. But then, between point A and B are one to an artery, are in peril connection. So I replaced them with this and are one, two, three. So this is the circuit news target. And then, as we can see that between point A and C are one two, three and our four is in serious connection So we replaced these two guys by this equivalents are good. Witches are one, two, three, four and then we have battle connection of are one, two, three, four with our fight and really place that by are one, two, three, four, five and then this resistor is in serious connection with our six or replace them by, aren't you? Now we can actually find out all the values for these resistors, so let's get on to it. So first we need to find our one two. So that's going to be are one to which is equal to our one, does arto. And since they're all, they all have the same resistance. So that's going to be our plus our, which is two times are then for our one, two, three. This is going to be since it's a parable connection between our one two and our tree, it's going to be this. And then we'LL have one over r one too, plus one over our three reciprocal. And if we plug in the expression for those, we get to over three r, say that should try doing it. Where? Yourself So that you get some practice. Uh, okay, moving on. So now we have a serious connection. So beans are one two, three four is going to be two three. Four is going to be are one, two, three plus our four on DH, which is nothing but five over three are. Then we have a panel connections. So are one, two, three, four five. That's gonna be one over R one, two, three, four plus one over r five. Reciprocal on that gives us five over eight are right and finally are equivalent Cool. And that's going to be a serious connection. Between are one two, three, four five on our six on DH. That's gonna be left to write that down. One, two, three, four, five, six plus R. It's going to be one, two, three, four bye on our six. And that he's gonna be thirteen over eight are right. So now we know we simplified the loop. Now we can go backwards and because we need to go backwards to get the current because so that sorry given resistance. And we know the toll bolted. So, you know, using home so we can get the given current s. So that's gonna be I eat you, which is equal to the voters of the battery over the equivalent resistance. And we plug in the values here. Our let's just plug in this guy over here and we get eight of Salon over thirteen are. And this guy right here is same for our six and are one, two, three, four, five. Because, as we saw that this is a serious connections. So the current passing tow this circuit and this argued with the same. So this guy's equal toe are Isaac's. It is equal to ay one, two, three, four, five. Right, um and then look at the circuit diagram again. We see that the five. So the five is the voltage difference between A and C on DH. So this guy is equal to B one, two, three, four because it's a serious connection. And that's equal toe be one, two, three, four, five Because again, this whole day is the circuit. So let me like that down. So it's going to be the five. This is equal to the one two three four, which is the one, two, three, four five. And according to our own slow, it's going to be one, two, three, four. Five times are one, two, three, four, five on If you replace, the values will get Katie. It's Ellen. Thirteen for our might be applied by five over eight are. So this guy right here is our one, two, three, four, five. And who is this Great? Um, and I five. So I five is going to be V five over our life. Andi, that's going to be five by thirteen Absalon over r What is by Absalon over thirteen are on DH. Yeah, that's that's r I fight and I want two three, four one, two, three, four is so I want to be poor is the one that's passing through this guy. So that's going to be voltage V five or three. One, two, three, four They're they're the same. So v one, two, three, four divided by I want to report and that should give us five over thirteen. Um, Absalon, divided by five by three are on. That gives us three Absalon by thirteen Are it is I for because again this one is a serious connection. Between are one, two, three and our four So I four should be the same as I wanted to port. Okay, Right on off course that's going to be I want to three as well right now we will see this relation. The one two three which is equal to I want to three times are one, two, three. So if we go back to the diagram, it's basically this far so we can again blood in the numbers That's going to be three. It's salon over thirteen are or I want to tree and are one two, three wass to over three are so that should give us two over thirteen Absalon which is be one too. What is it? Three. So we want to three against three. One two three is a serious connection artery and our one toe. So that means the voltage between this and that would be the same. Great. So now from there we can figure out a tree which is passing to our three or here passing to artery. So I three is going to be three over our three and that's going to be too upset on over. Thirteen are great and I want to is going to be if you want to. Over are one, too. And that's going to give us two way thirteen Absalon divided by to our, which a simplified as Absalon over thirteen r and disguise is basically I won and I too, because I want to is a serious connection. Um, between our one and our tow, that means the current is the same. So that's why I won is equal to ay to. So now we know all the currents we can actually plugging all the numbers and I'm going to give you the value so you can actually plug in the numbers. We know that Absalon, in our case, is twelve volt, so we can plug that and are in our case. It's three point two five poems. So are you gonna be three point two five loans? Yeah, Sophie, plugging all the numbers will get the falling values. I want Quinn's too cheese. Zero point two eight four millions. I three is going to be zero point five six eight millions I for it's been hard to hear I fore it's going to be zero point eight five two millions. I fi is gonna be one point for two millions. And finally I six, he's going to be two point two seven Williams and right, And okay, so we need to find the potential difference between point A and point B. So putting their difference difference within this and that. So we're going to use, Let's see, it's going to be three. So we're going to be using this guy, right? So we're going to be used in there trying to find this guy, so is too over thirteen. Excellent. So the A B is to over thirteen, um, at a salon, and that should give us one point five quotes. So, yeah, it's better to derive this, So that gets clear. It's a very simple problem if we actually, um, simplified the circuit. Thank you.

In this particular some, we need to find the violent resistance on current to each register for three different cases. So let's start with Step A here, here when five week battery is connected between and B. So let's attach a battery first withdrawal. So good. Daggett. I'm here. Is going to be 100 homes next, 0.1 over a distance with one home and dinner. No, these are the two different nose A and B, and we need to apply off. I went back through here, you know, the same could influence through one of 10 on 100 because they are connected. E series. So what we're going to right here seem didn't fills two. Why no general and 100. Therefore, let's take the notation as rs. So one less day last 100 homes, that is 111 norms, which is the value of artists. I would like to make a diagram again so that that it will be clear and miss standing what you're doing exactly. So get a five word about three attach between A and B. This is our 0.1 home, and again the same thing as we can see here between a Toby, This is gonna be a There's gonna be big Ari's is connected now that gun and which would be flowing through this tour distances that's considered as Ivan and I do. So now we need to find our equivalent. So are equivalent in this case will be since this tour, the distances point with him. 111 home. I didn't battle it. We can can't really there. So let's go to the next page. So therefore, article violent is equal to zero point. Come on, monkey Bribe 100 even upon edition off too. It could give us a value. As you know, porn 099 homes. This is the first answer that we have Court. Let's mark this. This is what we need to find out next. In the same case, we need to find Ivan the night to values. So we're right down to calculate gotten two each register Ivan is equal to since file Isn't balladry board their distances simply politically? Using No Mr Ivan is equal to or dish upon resistance. So far, I divided by zero point. Welcome. We're just coming as 50 amperes. And in order to calculate the value of I do it would be five point do. I did about 100. Any Lebanon which is going to be zero for zero Full fire appears. Now if you have got to second answer. No. Thus begins right here. That is current to Ottoman is equal to island is equal proof of camp years. And I didn't two. Why No Daniel and 100 home is equal to I go is equal to 0.45 amperes. We can write this in the district. Go away like this. No. Next move, four step. Be right here. Now we'll think about step be here. The case is being a five. Word is a bash between Hey and see So let's make the diagram First 100! Oh, and we have treated the senses now going to him one and 10. Boom! 0.1 one Home and Daniel. The points are you can see right here. This is gonna be This is C asper given in the original diagram. And this is war to be a good girl Attach, which is five work. So now let's consider that that's tagged In addition off artist one and ours too So this one is. It is a city's combination of 0.1 anyone. So which is 1.1? No artist, too, is the city's combination off other great distances. That is, Stan last 100 on which is 100 down. So let's make the diagram first, and it is going to be something like this. So this is artist one, and that is to artist. One is 1.1 artist. Do what we have got as 110 holes on the terminals are connected to pay and see, nor with fine words are dashed. So now that's mentioned. The garden says, Well, this is gonna be Ivan, and let's assume it as I do. So if you want to calculate, dig around in the distant, these two resistance is now in pattern because main current I is grating speeder into two components. That means the distances are said to be in balance. It's moving in a speech, and so this are equivalent is equal to honest one battling to arrest you. Now the values er artist one value is 1.1 home about it 200 down. It's got a great dis using the Formula 1.1 might be player 110 you've I D to buy, and you should, too, which is equal to one corn, 089 elms. This is the value of our equivalent in case be that we have. It's market as one of dancers now greed rather to find God and to each register. So Ben Boyd Ivan Ivan isn't currently just flowing to 1.21 So what we do? Five World divided by artist one, which is equal to five old, divided by 1.1 home, which is equal to four point fi wolf I on beers. Let's stick. I do, I do. If I were divided by artist, too, which is equal to five world divided by 100 dams, which is equal to legal 0.0 full 55 Amperes I d. Answers that we have got. Now we need to write down descriptively does. I couldn't two. I see your 0.2 on and one on is equal to Ivan, which is equal to 4.5 for five years, and the 2nd 1 is current. Two. Jay No and 100. Home is equal to Idaho, which is equal to 0.4 55 amperes. This is what we can mention your escape before. No, let's go to the next beach. You start. It's tipsy. In this case, five words is a dashed between E. Andy. No, that's stronger. Diagram. Again, this is gonna be the same. That his 100? No, right at the boredom. 32 distances at a connector. That's where the original diagram Jeff going, going, going home. I'm taking off. Attach a battery off firework Do the terminus E as villas. Andi. So it is going to be C I run and it is going to be I do now. Here, let's start again. It's stick artist one artist one. We're considering the combination off 0.1 less one last stand So the same gun flows garden cities. So once we can create this, we get at least one as 11.1. Now let's talk about our equivalent. Casper. The question now this 100 own is in battle with this one, which is 11.1 that's got over 800 multiplied by 11.1 upon again. Addition off, too. So which is ultimately coming as 9.99 homes. We could get you and Vicky does Daniel mes. I'll keep the original figure, Aditi's, which is one of dancers. Let's go next. Therefore, it's comfort Ivan, since this combination is in battle. Fly void. Do I do about this one? So five Ward do. I did buy in a 1.1 so on Sin is coming as zero boring for five years. Similarly, to get the value of I do okay, five World divided by 100 homes. It is coming at a 0.5 years. Again, this is the next census said that we've got to write in a distributor for Matt and does couldn't two zero point Do I know why No and General is equal to liven statistical to 0.45 years and next is current two 100 0 is equal to ICU because equal to 0.5 amperes, this is the way we can write. Go and sit in the descriptive format

Hi this given problem here there are two resistors in parallel combination with each other. 20 home and well Home most of all these who are in parallel and then the third one Is in series with these two eight oh this is the terminal A and here this is terminal B. Suppose the current passing through this upper 21 assistance that is I wan. And through the lower one that is I two. Now it is given that the potential difference applied between the terminals A and B. But if the VAB and this is given as 5.004. In the first part of the problem we have to find equivalent resistance of this combination or rich as 20 on. And well Home are in a parallel combination with each other. So their equivalent resistance will be given by RT is equal to their product in numerator and there some in the denominator. Oh here it will come out to be 7.5 mm. No, this R P is N. Series with eight home. So finally equivalent resistance of this combination will be our peoples eight home or we can say this is 7.5 Plus eight which will come out to be 15 0.5 home. And that is the answer for the first far of this problem. No, in the second part of the problem we have to find the current passing through The three is the stores. So first of all the total current net current this combination is i is equal to using onslaught. That is I is equal to be a B. By Our equivalent is this will be 5.00 volt Divided by 15.5. Um, And it will come out to be 0.32 ampere. So garden are seen through eight ohm as currently means Seinen series current 28 form is this Will be 0.32 ampere. Now in order to find the currents passing through 2012, home is Ivan and I too. First of all we should find potential drop across this parallel combination. Now potential drop across the parallel combination that is given us using home slow again physical trying to work so we physical too. I into our P means this is 0.32 ampere Multiplied by 7.5 home And it comes out to be 2.4 world. Now as potential remain sane in parallel. So I one will be equal to using arms law. Again we buy our this is VP by are One let it be are one which is 20 on. So this is 2.4V divided by 20 on. And here this I one comes out to be 0.12 Ampere and for I two again using Onslow VTB are too So this is 2.4 world invited by that is 12 mm So here this I do comes out to be zero 0.2 I am Pierre. So These are the two answers for the current. The 20-owned resistance and well Armed Resistance. Thank you.

We're going to take the ideas of series and parallel resistances and simplify a resistance ladder um with nine resistors, all of which have the same value. Uh And then we're going to do something by putting a voltage source on the left end. We're going then figure out the currents in each of these nine resistors. So I've decided to label the resistor currents and the resistors with letters so I can keep track of them. But um the process starts with identifying what's in series and in parallel. This is a little bit messy. So you actually have to look at the right end where the latter kind of terminates in order to see anything clearly. And what I see is C. F. J are in series. And so for a series resistance will call this series C F G jay. You just simply add the resistances. So that's three are. Now I'm going to um this is important to do and many people want to skip this, but if you're going to work with the circuit and its details later, you really want to keep track of the intermediate steps. So here we're going to call this intermediate step one where we have taken that series resistance and turned it into three are and we'll want to take a look at it with the remainder of the circuit so there's E sitting next to it and of course we have the rest of the circuit just minding its own mind, but we'll go ahead and draw it anyway and my circuits starting to lean a little bit. Um But what I notice is that I have a parallel configuration between the E and the three are so yeah, things are going to get um simple if we continue to work from the right towards the left, so we're going to call this are parallel one. Mhm. And we can use the parallel resistance one over R. Plus 1/3 are to the minus one and that gives us 2.75 Are okay. And so that simplified step number two and we'll redraw the circuit again for good measure. Uh huh. I don't like that color yellow. Try not to lean so much 0.75. R. We still have me and h those are the important ones and D. But you can see that the pattern is sort of repeating that now. We have. Uh huh. A new parallel, sorry, a new series configuration. Um So we need to call it something and give it a color. Let's call that our series too. And we just add up the the resistors. Okay? And you can maybe see the pattern starting to appear. This is going to be in parallel with D. But we'll draw it anyway because the tendency is to skip that. Mhm. So we have another parallel. Yeah and then we'll have one more series. So this is our parallel to are running out of colours but we use the parallel formula one more time and we get 0.73 types are and finally we are almost to the point of getting simplified down and I probably won't show the last step because it is fairly easy but our last picture has another series situation. Okay? Um but at this point we're down to three resistors in series and we can simplify this down with serious editions and we will be done with the equivalent resistance portion. Okay so they are asking for a breakdown of the currents through each resistor. So we're going to start off um and put a 10 a 12 volt battery between the two end points here and now what we're going to have to do is work backwards to figure out the currents in each particular situation. So, um I'll do a few steps and uh maybe just show the results for the remainder because the steps are just like this simplification, rather repetitive. But the first goal, of course, is to find the big current through the equivalent resistor. So we have i is equal to 12 volts over are equivalent are 2.73 Um um Arms, wait a minute. I beg your pardon? We also have r equals 10 gnomes. So let's be careful here. So that's 12 volts over 27.3 homes. They had chosen one, but we can solve for that. We get 0.440 amps. Okay, now we can work back through um and we see that the next step up is a parallel combination. So we're going to have to figure the voltage drop over the 0.73 Yeah. Resistance. So that's fairly easy to do at this point. Let's get the right color. So you can keep color coded delta v is um I times are point for for oh amps times 7.3 OEMs. And that might be up to be 3.21 Yeah, vaults. Yeah. Okay, now, uh if that is true then what we'll have to do is apply. So the definition of parallel, it seems same voltage drop. So we have 3.21 volts between the two end points. And so each of the currents can be figured out through using um I r equals 3.21 volts. So we have 3.21 volts on the right hand side, divided by 2.75 times 10 gnomes. Yeah. And let's see, what does that give us? 0.12 amps. 0.12 amps speaking partner. I keep forgetting that. 10 OEMs. And through the other one we have 3.21 vaults over 10 homes, which is point oh 32 amps. Yeah. Mhm. Okay, so the next step up is um we see that we had a very simple, serious situation. So you can guess what the pattern might be. Is that uh the same current runs through uh be 0.75 are at age that is running through the 2.75 are. So that value is see what color am I choosing that? Um 0.12 amps. And at this point I think we'll just show the results. But again, you want to figure out the voltage drop on the last two pieces and we wind up with um a voltage drop of 0.12 times 0.75 which is I felt A. V equals zero point oh nine volts, and we can figure out our last two currents through that and we're done from.


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