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Problem 64 Hard Difficulty

In Figure $\mathrm{P} 18.64, R_{1}=0.100 \Omega$ $R_{2}=1.00 \Omega,$ and $R_{3}=10.0 \Omega.$ Find the equivalent resistance of the circuit and the current in each resistor when a $5.00 \mathrm{V}$ power supply is connected between (a) points $A$ and $B,$ (b) points $A$ and $C,$ and $(\mathrm{c})$ points $A$ and $D.$

Answer

a. R_{t o t} : 0.09991 \Omega
b. R_{t o t}=1.08911 \Omega
c. R_{t o t}=9.991 \Omega

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Video Transcript

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

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