5

Problem 2: Given the circuit below, determine the resistance of all resistors combined_56 0...

Question

Problem 2: Given the circuit below, determine the resistance of all resistors combined_56 0

Problem 2: Given the circuit below, determine the resistance of all resistors combined_ 56 0



Answers

Solve the given problems. In finding the total resistance of the resistors shown in Fig. 1.14 the following expression is used. $\frac{6 R_{1}+6 R_{2}+R_{1} R_{2}}{6 R_{1} R_{2}}$
GRAPH CANT COPY

So here I have labeled the resistance on the in Memphis with the drop appropriate the the value or corresponding toe that variable. So, for example, are five is the resistance. Ah ah, Off this resistor on has a value five homes. Similarly, the steep in which is that Yemen has an E m f a o off 10 bowls on for the currents. Uh, we have but the Sox trip. It's a start. That's the current corresponding toe, that particular variable like that particular resistant or enough. So I 6.8 is the current flowing through the six point assistance Mr Onda. Awesome. Really, I to always the current flowing through the 12 room resistor and I five is the current flowing through the five or Bold or E M. If you can call this, I fight for my train, whichever one you want to pick. So yeah, so now we apply the junction. Jewels are two points A and B onda. We apply the loop. You'll toe loops 12 tree that have already labeled here on this will give us our five questions on this will make sense because we have five unknown current that we need to solve for and therefore we need five questions for that. So let's start off like the junction rule out O A N B at point c nd So we have my five equal toe. I felt less by six or junction eight and then I don't Yes, I 6.8 still be equal to duel. I dress because they have the opposite direction. So I thought this this Ray and ice explained it is like this sword point readings to combine to make twins and therefore the system relation. So from here, we can solve for Oh, I thought so because I don't this common in both of these equations. So doing that, we get I five minus I six, which is high top equal Dole I do of minus I 618 on dhe begin. Oh, arranged this a question like this having although positive signs, less signs My six. So this is AJ question from those true junction Who's that's called that a question one. So we got the situation by solving two equations on dhe now. Therefore, we have eliminated the variable I top, so we will have 40 questions now because we have reduced to these doing one. So now we applied the new proof. So this is large. No one. Remember, if you're going from Wasit if two negative Ah, inside a back alley, there should be a negative sign off before that. And if you're going negative to positive in a battery, there should be a positive sign before the M f on for current. If you're going along the direction off current, there should be a negative sign before that on. If you're going opposite to the direction off current Ah, then there should be a Was it the same for that? So those are the simple shores on, I have applied them on DDE. You can inject them if there got it. Also, it doesn't really matter how you go how your Luke looks like. For example, you can choose this loop one toe be counterclockwise, and you should be able to arrive are disa question. So this is for loop one. That's all. That a question. So the sense for Luke I do. And this is for Luke Tree. So let me destroy that so that you don't get confused with the question number. Yeah, and this is the question that we got from the junction. Now we will solve these four questions by the method of substitution elimination, my demented off elimination and substitution. So let's use the question for because I find this a question the simplest off this fall. So let's use this to solve for I six. So we will get I six in terms off 12 Here from the secretion on dhe are 12 over our state. So since these toe ah, basically present the value that sickle tow the sub script. So we can like that. You can cross that that the resistance have activities values. So we have our sex equal to twice off. Sorry, we have ice six equal to twice off. I do have. So now that we have ice six in terms off are you to have began eliminate Wherever they have only six on DDE That baby will be able to eliminate Ah, one more valuable. So thank you. Let's come buying these two immense by eye the adding the voltages. So we have I five less ice x 0.8 equal toe. So this is a question once I have other days too. So this will be equal to go three. I too. Let's call this a question One again, because these are practically the same. So now well, we look that tow the loop. One question a question to plug this value off. I six over here. So we will get I 15 minus I five. Odd. Five minus. I will. I drove you quit the seal. So I have added these two because in five has value five. Fold it and it's Turnbull's of Fife. Less dryness, too. And that's why I have returned here to be 50. So again we have 12. Which is why, for the four plus e eight on this to add up to 12 mutual physical toe minus, I do it outweighs minus 6.8, not a 6.8. But this is a question duel. This is a question she so you might get confused as to how this became. I, too, have afterwards basically have substituted our 12 as well in terms off our six. So basically are six is articles over too. So if you combine these two, you'll see that I six times are sixes impractical dry, too, as my massage. Because these two. Randy was canceled. So that's what I have done in order to make Ari questions look nice on dhe. You congee lately substitute all the values of that, uh, my ability, but simple. So, yeah, you can do that. Still now way have three questions on three young girls. I five by 6.8 and I do is we have already eliminated. Eliminated two off the really of this. So among this tree, a z can see question one is the simplest. So we will use this toe. Let's say eliminate I 6.8. So I six point it will be I three idol minus five, and we will block this. Ah, until this a question, This has ice Expo Nadiya question toe doesn't have ah, ice explain dates, So yeah, so lugging this over here, you know that I 12 minus sorry. It well minus I our minds it is. Ice explained to each times AJ 6.8. We called Rosie. And this is actually question three, Except we have a plug this over here. So now we have to It questions the question to one. The question three. So we will ah, eliminate. Let's say we will out of these two, This one is the simplest. So we will use this equation. You know that. Eliminate one more variable. So let's say V eliminate I five. So we express I five using the question does so from that we have this and we will blood this into a question three. Still, and then, ah, as you must have already guessed the question tree, they'll have just one unknown i 12 because everything else is now expressed in terms off. I drive only so then we can solve for I so doing that. So this will be, though, finally, question three. So now we solved this aggression for I two l's. It's with the equal to trends. I fight less, and then we need to plug the values off the image and assistance. And, uh, this should not be confusing a call because the values off these two variables are to present it by their sub scripts. So during that, so eat will this Basically 12 are five hits, five rooms on and so on. So, solving them we get I tried to be subtle 0.66502 and this is approximately 0166 five years. So this is I do have or the current flowing through. Let's see, I tow the current flowing through the 12 armed assistance. It's right that in records. So now we can, uh, go oh, backwards on dhe soul for, um, that is stuff, though. Parents. So because we have solved for 12. So we need an equation that that just has 12 minutes of the system. So this has just warm unknown by five. Rest of the things are no now. So they find i five by using this a question. So doing that, we find i five to the equal dough one point fold Syria am Peel nearly called one point 40 amperes of the sister resistance going through the fife gold E m f or the 10 body Enough. Okay, just a straight toward the end. So then you have high five on DS. I fight and I too have now. So let's say we can find ice 6.8 because these two are already known. So you reuse that a question and I 6.8 comes out to be 0.591 ampule. That is the current flowing through and 6.8 or Melissa start on dhe then began find I six. That should be easy, because I six is just twice off 12. We could have done that just after finding I do it. What? Anyway? So I six is 1.33 amperes, and that is the current flowing through, though. Six older sister. So yeah, on dhe, there's one were current to find, which is I twelves. Look just right that over here so that I don't need to go to the next page and all the currency will be here. So I talk is basically that's used execution. So I talked this guy five minus I six. So I five is 1.4 and pubes on I six is one point 33 ambulance. So this should be querido. I see your point CEO seven AM This is the current flowing through this region from A to B

So for this problem, we can go ahead and look at the bullet is drops across each of these registers. So the way you do that is this kind of imagining of a volt ometer here. Ah, vote ometer here and a well, Tom, enter here. All right, so let's look at the first resistor so we can go ahead and quickly calculate the current the current is gonna equal v 90. The equivalent resistance of this whole current is gonna be 30. So our current is gonna be three amps, All right? With that in mind, we know that current stays the same in a serious circuit. So that's helpful because we need to calculate the voltage drop across all of these resistors. So we have hold his drop is we're solving for and we're gonna call this our one r two and r three. So now, in our one the voters drop is gonna be equal to the Resistance Times, the times, the current that flows story, which is gonna be 30 in our two we're gonna have the voltage drop is gonna equal the Resistance times. A current that flows through its kind of equal to 45 and same case in our three. Now, if you look at all these, if we add all these together when we get we get 90 force, which is the total voted supplied by the battery. So if you think about it, as each of these as the current goes through at each of these resistors, the current drops are the sorry that both his drops the voters drops in the voltage drops. Until when it comes back into the negative terminal, you're gonna have a voltage of zero. And that's one of the ways you can verify these types of questions. What?

In this question. We have this article. Interesting circuits. We have five for resistance. They're gonna find five different currents right there. Passing truly show off to your sister. So we're gonna have to use cutoffs. Grew as well as T junction rule. In order to get ah five different equations there, we will need to use too soft for the current. All right, now, he current directions are arbitrary. I've shows that them arbitrarily I don't know what is the actual direction. But using this direction, if we get a value or a negative value for the current, it means that our choice off current direction is wrong. And you were just, you know, take d opposite direction to Bt actual current. Thanks. So there's no issues. We've choosing an arbitrary direction first and then solving 40 question. It's a lot less to the junction rules which are the easiest. We have two junctions. So Junction One, we're here Injunction to for Junction one, the incoming current ISS I won and the ongoing current ISS I five and I treat for the second junction the incoming current iss I five and I to and they're going iss. I fought So this is the overall current. Now we actually have another current another junction rule. But this is security across the entire circuit, right? Saudi from the entire circuits. We know that this current over here I the current passing truth e bet tree this sequel on. Okay, this site spls decide. So what we can tell it's actually the equation is I tree plus I for it's actually close to I one plus I to So now moving on to the cool, George. I mean, Popo one off the loop, right? Could be passing true. Just e internal diamond. She sure we can have another look. It is passing at the top. So in the opposite direction be better the top half off the diamond and then we can have an external loop that is passing true. I won, right? So from I won don't who I tree and that So the 60 tree looks Taviani. Now let us to 40 the equations for the looks, right, for the first look, just you try and go below. We start off. We've awful says you're moving. The seduction s are for with the current moving the same actions currents were to subject already. Potential drop Frightful. We're moving in the opposite direction through the current for our tree. So not me, I feel and not see We are moving same direction. Yes, the current for Ah fight. So the minus are 55 close to zero 50. Question the upper upper half off the diamond. We start off. We've are one. All right, so I want to have a being. This induction is the currents were subject one by one across our fire, moving in the same direction as the current five. Finally be a movie opposing to the current for our too. So yeah, not to I to close to zero in this hour creation. So last the overall look across the entire circuit you have first of all, passing true d resistor. We have i de toda current the same direction as our overall current. We subtract the potential drop across the battery of moving from minus two classes. We D um, if there we move past our one same direction is the current subject. My one No one. Same for our tree country. Hey there, 20 So the 76 equations for our questions. So we realized that 60 question Because we have one more unknown, which is why she passed. I fall and I want plus I to which is the over I sent. Unknown s well, so that's where six equations, which we can soft for six unloads now, after getting these six equations we're gonna do is we're gonna substitue in the equation, Uh, for I fall into the US. Nope equation. She's over. Sure. And it goes up to buy one. Yes, into the second equation, JC Christian five over here. And finally we know the total coming I Tisza goes toe tree plus I for right. So it's here. We're going toe substitute again I for from equation to might just goes toe I five plus i to and we got to get three equations with tree unknowns, namely Ah, I fyi, tree and I So I'm going to write them down over here. The first equation get all right. Ah, second equation. I've arranged this nicely. Such it. The first time is always I five. Then I tree and then I too. And he thought equation, which is the one with d u m f you substitute again to get negative. One Fife minus of plus one tree. Now we're ready to saw off. Uh, the first thing I want to do is toe substitute e numbers in. So the numbers really have from the figure. So pretty number. Seem to have us to make things a bit simple. This for me. First equation, your second creature and the last equation. All right. We can self by ticking. Uh, question one minus in creation too. You will get you five by tree. Yes. Five to close to zero. It tells us that I she must be close to i to x e take one minus tree gets 40. I tree minus 10 I to most trainee. But since we know there are tricycles, why to we just substitute I two s I tree Get your tree close to 20 and I tree it comes Put its back. So we're soft. That actually is to touch impious. Or was your 0.67? If yes, she goes toe to you. Can't get I five from using any off this equations. One toe or tree. Just a few et very off tree and I to should get a value off. Good. If 1/6 years. Now the reason why Stsnegative doesn't mean that it is not very It just means that the direction that we have chosen prior to starting this question just to the right is wrong, right? So the actual current is pointing toward the left with a positive value off one of six impious. So the extra direction, just a few that in should be in the left direction five. But for of sick off solving these equations we was here to keep if I s a negative value since our equations are derived from the direction off I fi pointing to direct so continuing her too soft for this equation. We can so far Knicks so far I for just given to be I five last I to So what is working for us? It's your 0.5 impious. We can't so far I want Jason goes to I fi Plus I tree. You'll also give us your 0.5 Impious. We have all the current step unit now two very fire that this is indeed correct. We can do any power that is being dissipated. Why you shot this resistor that we ate them up together to see if it corresponds to the energy does being Ah, output by T. Petrie, You're gonna use the equation. I square. Huh? P one. You know that stick current is 7.5 75 square times the resistance off Ah one which is 15. Get 2.75 people, has he Same current and same resistance. So we got three points out fires. Well, my Otis in what's o. P two same current s Petri as well. SD seem resistance, so we get the same power off four point for For what? Last but not the seas. The fifth resistor R five current is one or 61 of a six shelf Sorry. One hour, six square, right by five Get to a 0.1 38 night. What's and last but not this. You need to include the power dissipated by the small resistor. The current that is outside off the the circuit is artery bus are for So I treat us I'd fall square, multiply by its resistant off these internal resistor. Just five You get six point eats through all 56 What? Something This all up Be Toto. Get 23 point she What's now? We check this value with the power from the battery. My taking I times V II Is he closed toe? I cheap as I fall. So I treats tooth hurts I for this 0.5. Want to buy 20? Just see battery voltage. Get 23.3 s. Well, so we should get tea. Correct current.

So here we have the three resistors connected in parallel and the two resistors connected and Siri's connected to the previous three resistors. So if we were to consider essentially this section as arse of one, we can say that then our someone. The equivalent resistance of the three identical resistors connected in parallel is equal to 1/3 of the resistance of one of the resistors. And so this would be equaling 2 55 homes. This would be divided by three. Giving US 18 0.3 comes, and now the total resistance would be Equalling. Our sub one plus two are with the two last or two remaining resistors in Siris. And so this would be the total resistance would be equaling two 18.3 homes plus two times 55 arms. And so this is giving us 128.3 comes. So this would be our total resistance for these five resistors. That is the end of the solution. Thank you for watching


Similar Solved Questions

5 answers
Let Rbe a ring: and let a € R be (fixed) element. Define [ {r € R T0 = 0}. Prove that [ is a left icleal of R. (Note: This is an erample of an annihilator ideal )
Let Rbe a ring: and let a € R be (fixed) element. Define [ {r € R T0 = 0}. Prove that [ is a left icleal of R. (Note: This is an erample of an annihilator ideal )...
5 answers
An acceleration of 5g before blacking out? 30. IA car is traveling at 60 mi /h down a highway: (a) What magnitude of acceleration does it need to have to come to a complete stop in a distance of 200 ft? (b) What acceleration does it need to stop in 200 ft if it is traveling at 100 mi /h?
an acceleration of 5g before blacking out? 30. IA car is traveling at 60 mi /h down a highway: (a) What magnitude of acceleration does it need to have to come to a complete stop in a distance of 200 ft? (b) What acceleration does it need to stop in 200 ft if it is traveling at 100 mi /h?...
4 answers
(1 point) Book Problem 11Find the length L of the curve I =y - 9 Vv) - 0 < y < 32.Set up: L = Jo Vi+Tf"(U))? dy where f' (y)Simplify: L = Jo V((y))? dy where g(y) =Integrate: L =
(1 point) Book Problem 11 Find the length L of the curve I = y - 9 Vv) - 0 < y < 32. Set up: L = Jo Vi+Tf"(U))? dy where f' (y) Simplify: L = Jo V((y))? dy where g(y) = Integrate: L =...
5 answers
8-x? _ y? dz dy dx +y210. Sketch the solid with volume: V =6set Up integrals for finding its volume using cylindrical coordinates: and spherical coordinates: and b) evaluate one of these to find the volume:
8-x? _ y? dz dy dx +y2 10. Sketch the solid with volume: V = 6 set Up integrals for finding its volume using cylindrical coordinates: and spherical coordinates: and b) evaluate one of these to find the volume:...
5 answers
This will be an efficient; one-pot reaction for the transformation shown below.TrueFalse
This will be an efficient; one-pot reaction for the transformation shown below. True False...
5 answers
QUESTION 32,5eingsMve Arue.LunitnthnDf 0417imhQUESTION +1,5 ointrMreAree:Why do We choose buffers with pKa value close tO the desired pH?PH unit away the only place that both the acid and conjugate base exist solutionThe best buffers are when pI = pEaBoth the acid and conjugate base required comparable amount The Henderson-Hasselbach cquation will not work: outside of + - PH unit
QUESTION 3 2,5eings Mve Arue. Lunitnthn Df 0417imh QUESTION + 1,5 ointr MreAree: Why do We choose buffers with pKa value close tO the desired pH? PH unit away the only place that both the acid and conjugate base exist solution The best buffers are when pI = pEa Both the acid and conjugate base requi...
5 answers
Draw the leaving group with all applicable lone pair electrons and non-zero formal charges:
Draw the leaving group with all applicable lone pair electrons and non-zero formal charges:...
1 answers
Write the interval defined by the given inequality. $$\left|2-\frac{x}{2}\right| < \frac{1}{2}$$
Write the interval defined by the given inequality. $$\left|2-\frac{x}{2}\right| < \frac{1}{2}$$...
5 answers
Use the properties of sigma notation and the summation formulas to evaluate the following area Express your answer as decimal rounded decimal place_ Iim 26+2)(4)
Use the properties of sigma notation and the summation formulas to evaluate the following area Express your answer as decimal rounded decimal place_ Iim 26+2)(4)...
5 answers
La- points10LARCALC11 8.2.091.damping force affects the vibration of a spring so that the displacement of the spring is given by Y = e St(cos 4t + 2 sin 4t). Find the average value f y on the interval from t = to t = T (Round your answer to three decimal places:)Need Help?Talk to TutorRaad It
La- points 10 LARCALC11 8.2.091. damping force affects the vibration of a spring so that the displacement of the spring is given by Y = e St(cos 4t + 2 sin 4t). Find the average value f y on the interval from t = to t = T (Round your answer to three decimal places:) Need Help? Talk to Tutor Raad It...
5 answers
Juaston 4 College Gludeks ueur &s ked Ivavdlom Sampl 9 3uv nd gende Xn2 In theanung puetewence Kewla JplaL 4o Iae 20 30 M 35 Kr Iv 65 as 40 Hokiv a0 30 (oIov Jan com whed ($ I choben & astuda} aue mcle Q paete. pvobob [ ily Iob #Wy 2 Xwu kound 40un AnSwe= AmaZon Pxi nu 1 dicima) Pla &
Juaston 4 College Gludeks ueur &s ked Ivavdlom Sampl 9 3uv nd gende Xn2 In theanung puetewence Kewla JplaL 4o Iae 20 30 M 35 Kr Iv 65 as 40 Hokiv a0 30 (oIov Jan com whed ($ I choben & astuda} aue mcle Q paete. pvobob [ ily Iob #Wy 2 Xwu kound 40un AnSwe= AmaZon Pxi nu 1 dicima) Pla &...
5 answers
A bullet of mass 6 grams reaches a target with a speed of 732 m/s. Find the impulse delivered by the target to thebullet in bringing it to rest. Let the initial direction ofmotion of the bullet be the positive direction. 2 sig figs, negative answer, units N s.
A bullet of mass 6 grams reaches a target with a speed of 732 m/s. Find the impulse delivered by the target to the bullet in bringing it to rest. Let the initial direction of motion of the bullet be the positive direction. 2 sig figs, negative answer, units N s....
5 answers
54k8 and accclerating up at m/s2 What is the value of mass2? An Atwood $ mxching with (rictionless pulley has mass]
54k8 and accclerating up at m/s2 What is the value of mass2? An Atwood $ mxching with (rictionless pulley has mass]...
5 answers
Find the area of the region between the curves y = 2x-x" andy = 2x 4 Ihat is illustraled in the graph below:OA0 B. 3 3 0 D. 31
Find the area of the region between the curves y = 2x-x" andy = 2x 4 Ihat is illustraled in the graph below: OA 0 B. 3 3 0 D. 31...
5 answers
Find r(t) for the given conditions r'(t) 12e6tj 7etj, r(0) = 2ir(t) =
Find r(t) for the given conditions r'(t) 12e6tj 7etj, r(0) = 2i r(t) =...
5 answers
Incrcasing frst Icrizaticn energy: N, € and € Plaze tre folzwirg elements ordzr 06on<c<F 0 F<N<c 0f<c<n 0 N<F<c 0 C<N<F
incrcasing frst Icrizaticn energy: N, € and € Plaze tre folzwirg elements ordzr 06 on<c<F 0 F<N<c 0f<c<n 0 N<F<c 0 C<N<F...
5 answers
0 0 833] 0 21 0 1 82 $ 1 1 | 1 1 1 1 1 0 o 0 OzO
0 0 833] 0 2 1 0 1 82 $ 1 1 | 1 1 1 1 1 0 o 0 OzO...
5 answers
JuCalculating an infusion rate using equal ratios (4 points) This week we saw how we can calculate infusion rates using equal ratios. We are given running IV on the right. We want to know how fast this IV is running in drops per minute (gtt/min): Use the button below to start a 15-second timer and count the numbor of drops that fall;,Then use vour knowledge ot proportional rolationships t0 calculato tho gttlmin rato,Timer; 0Start Tmer74as
Ju Calculating an infusion rate using equal ratios (4 points) This week we saw how we can calculate infusion rates using equal ratios. We are given running IV on the right. We want to know how fast this IV is running in drops per minute (gtt/min): Use the button below to start a 15-second timer and ...

-- 0.021325--