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Consider the combination of resistors shown in the figure below. 12.0 Q 4.UU5.006.00 n8.00(a) Find the equivalent resistance between point and(b) If a voltage of 57...

Question

Consider the combination of resistors shown in the figure below. 12.0 Q 4.UU5.006.00 n8.00(a) Find the equivalent resistance between point and(b) If a voltage of 57.1 V is applied between points and b. find the current in each resistor: 12 Q

Consider the combination of resistors shown in the figure below. 12.0 Q 4.UU 5.00 6.00 n 8.00 (a) Find the equivalent resistance between point and (b) If a voltage of 57.1 V is applied between points and b. find the current in each resistor: 12 Q



Answers

(a) Find the equivalent resistance between points $a$ and $b$ in Figure $\mathrm{P} 28.6 .$ (b) Calculate the current in each resistor if a potential difference of $84.0 \mathrm{~V}$ is applied between points $a$ and $b$.

This question. You are given this combination or resistance. So we want to find in part A. We want to find the equivalent resistance between points A and B. Okay, so first we recognize that this is it's a parallel arrangement, right? And then this is another parallel arrangement. Okay, so here the the are effective is going to be one of the 12 plus 1/6 divers, and then here the are effective is 1/4 plus 1/8 and then in us. Okay, so just remember that for parallel is one of, uh, equivalent is one of one plus one of our two and so on. Okay, so on, then you have, um So you have three resistance in Siris. This this and five. Okay, so there are equivalent. So the equivalent resistance is to go to one child plus 1/6 was plus five. Plus, when there were four plus one, there were eight, uh, universe. Okay. In Syria's you just add up the resistance on. Then you have four plus five. Plus, it's over three and you get 35/3, which is equal to 11.7 homes. Okay. Is So in part a are equivalent is 11.7 homes. So this is the answer for a then in part to be, we need to find a current in each resistor. If, uh uh is the voltage across a B s, uh, 35 votes key. So, um, so Delta V maybe is 35 votes. So the current, uh, need to be is, uh, Delta V A divide. By are equivalent, which is 35. Developed by 35. Developed a tree. So this is 3.0 ems. Okay, then, um, so just I'm just going to redraw the second again, okay? I'm going to live. Oh, uh, I am going to labor the current later. Okay? So I'm going to call this. I won by two. Is I? This is a tree in an iPhone. Okay, so, uh, so the current true five phone resistor. Okay, so this is this 3.0 EMS should be obvious. Okay. And then, um so then we know that trough I won is equal to 62 because of parallel connection That will teach must be the same. And then I won. Plus, I two equals two tree. So um, so we are going to have, uh I won is equal to one NPR, and then I two is equal to two MPs. Okay. Okay. So and then, uh uh, You do the same thing for tree and I fall for so for tree goes to 84 Okay. And then I tree plus I for equals +23 So if you saw, then you get tree equals two, 2.0 mps and then I fall is equal to 1.0 NPR he So here are the answers. This is the current true five home resistor. Okay, then I want this one. NPR I two is to em peers I trees to MPs I for is one India. Okay. And that's all.

In this particular problem, we need to find a girl in the distance between A and B. So let's start with step, eh? And we're going to find a violent resistance between trailer homes. Time six. Home and let us consider it. See, Arvin, since this boulder distances are in Baghlan, we'll do the calculation as 12 into six born 12 plus six, which is coming as forums. So in this case, the Ireland value is our forums. Instead, be we've tried to find become violent the distance between Fordham's and Adams. It is considered it as I do since they're in Palin again, we'll use the same formula for into eight upon for passage, which is coming US 2.67 homes. So therefore value of our goo is 2.67 hours. Now let's make a so good here with the effective resistance is that we have already calculated between A and B. Nobody nobody does are one. This I do and the middle one is our firearms. So value of Ireland is forums. Value of Artoo is 2.67 homes. Does Joe Torre distance? There is a figure. This is between A and B is equal to let us stick the notation as Artie Asfour less five plus 2.67 homes just coming a as 11 born 67 homes, therefore effective distance between and B is off 11.67 arms, and this will be our just answer now. Next year we need to find got him through each with this year. So let's make a circuit first. So here the circuit becomes we need to connect these 32 distances in the circuit with 35 word battery attached. As for the given statement, so let me just read it as carbon are too values, therefore room file and 2.67 homes. The current we just flew into the circuit now is I. So step, eh? The current through each of this show Basic. Where do I, which is 35 wars divided by the combination off The resistance, is so four plus five plus 2.67 homes. And we're just coming as three amperes. So the kind we're just going to the circuit is off tree and beers now instead, be we're trying to find the world age across. I went file and art. So let us write award age. It grows our win. Take the notation as we are one, which is main current into our bond. So main current is off three amperes 1,000,000 part of these forums. So we are one is off 12 boards in the next step. See where Gage it goes. Firearms, which is again main cutting tie into fireman a distance. So mein Candies off three into five. So that is coming as 15 words on In Step D. We find the war Gage Gross. I do. We'll take the notation as we are to which is current multiplied by, well, your fighter. I ease off three and Beers arteries of 2.67 homes that is coming as 8.1 boards and this fi own weekend denoted as we file that is weird to get gross firearms. Let's do the next calculation, but Step E I keep dating as calculations. As for the questions, the 1st 1 now since work age in battle in combination of the resistance remains the same. We can see that too. We Trow home is equipped to be six homes is equipped with 12 worlds. Asked for the audition in secret. Therefore, if I want to calculate current home which will be a combination off we troll a bomb you have during this trip. It is true, Adams. So to avoid divided about home which is one and here and this will be our answer in the second month that a second step. If I want to calculate the value of current flowing through six home register, it would be be six home upon six home using simply or Miss Law here. So 12 old to do I date a basic psalms which is to our viewers. This will be a second answer. Step three, we need to calculate the value of current which is flowing through file. There's a main current so well, you off the main current history ampere. So why don't we just ruined your fight is also off Three happy years. Therefore, we know that wordage across four home will be similar to work day across eight rooms is there in parliament which is off eight born zero on walls. So again, if you want to calculate the current forum which is equal to well to get clothes for dividing their forums, so 8.1 upon four, which is, to one peers. This would be our answer again. The same time you want to calculate current to eight home, which will be a combination of VH home upon while you're there, the salaries, a Tums and the 8.1 upon eight. So we're just coming as one in Here is the way we need to solve this predicament. Cem to get dances

In the first part of this question, we are going to kill off. Let the glint resistance off the given combination in order to complete this Ari we named the Resisters from left to right is our one, two or three and four we see that are to interfere in peril so we can write one by Ari Prime equals to one by our two plus one by our tree. Now sitting the values into this equation, we will get one by Ari Prime. He calls to one bite so important 00 plus one by 10.0 home. From this, we can get Ari prime equals to 4.12 Home No. Four series combination we can right r equals toe are one plus Ari Prime plus our four now setting the Williams into this equation, we will get R equals to 4.0 home plus 4.12 home plus 9.0 home. This will give us r equals two. So indeed, 0.1 tool. So this is the answer off us part of this question. In second part of this question, we have to kill Colette that current flowing through each of the resistor. But the current flowing through our one and four is is I and the current flowing through our to end our trees. I do and I three respectively. Let's apply homes, lotto conflict I weak ones too. I ar e was holding the square for I weaken right I calls to really wanted by Ari Now setting the values into this equation we will get I equals 2 34.0 world divided but 17.1 toe. This will do us Michael's too 1.99 in bed In order to complete 23 for us, we need to kill pleather potential difference across its end which is we do three In order to complete the 23 let me apply the equation we close to we want plus we +23 plus before we want ended Before all the potentials which are dropped at Resister one end are full. This equation can be written as we do three equals Two reminders I in tow are one plus our four now setting the values into this equation we will get we do three close to 34 points your world minus into 1.99 and peer into 13.0 so this will do us. We do three quarts to 8.13 words. No, I do can be written as I do equals two. We do three divided by our two now sitting values into this equation we will get I do equal to 8.13 ball divided by 7.0 So this will give us at two equals two 1.16 impaired now, tribal peoples, too. We do three divided by R C now set in the valleys. Into this equation, we will get 8.13 Walt, divided by 10.0 So this will give us three calls, too. Zero point. It wasn't fair. So end of the question.


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