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O-Xtra Due in Kirchhoff hours 20 minutes Equations Consider the circuit diagram below; which defines the directions ofthe currents [z. and Iz.R2 24 0You are given R...

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O-Xtra Due in Kirchhoff hours 20 minutes Equations Consider the circuit diagram below; which defines the directions ofthe currents [z. and Iz.R2 24 0You are given Rq = 30 Rz = 0 and Ry = 2 n well as V 140 V Vz 9,5 V and V; = 3.0Obtain valid junction equation by applying KCR to node this circuit; Solve that equation for [[ aid CMCI YouI result below;are correct: Your receipt no 460-4744Preuigus Tries(b) Obtain valid loop equation by applying KVR elockwise path around the left half of this circuit

O-Xtra Due in Kirchhoff hours 20 minutes Equations Consider the circuit diagram below; which defines the directions ofthe currents [z. and Iz. R2 24 0 You are given Rq = 30 Rz = 0 and Ry = 2 n well as V 140 V Vz 9,5 V and V; = 3.0 Obtain valid junction equation by applying KCR to node this circuit; Solve that equation for [[ aid CMCI YouI result below; are correct: Your receipt no 460-4744 Preuigus Tries (b) Obtain valid loop equation by applying KVR elockwise path around the left half of this circuit; Collect terms but do not otherwise simplily the equation. Do not cnlcr units: Subtu Answuc Tries 0/15 Obtain valid Joop equation by applying KVR elockwise path around the right half of this circuit. Collect terms. but do not otherwise simplify the equation- Do not enter units. Submil Answnt Tne? 0/15 Post Discussion Send Feedback



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For the circuit shown in Figure $\mathrm{P} 28.32$ , we wish to find the currents $I_{1}, I_{2},$ and $I_{3}$ . Use Kirchhoff's rules to obtain equations for $(a)$ the upper loop, (b) the lower loop, and (c) the junction on the left side. In each case, suppress units for clarity and simplify, combining the terms. (d) Solve the junction equation for $I_{3}$ . (e) Using the equation found in part (d), eliminate $I_{3}$ from the equation found in part (b). (f). (f). (f) Solve the equations found in parts (a) and (e) simultaneously for the two unknowns $I_{1}$ and $I_{2}$ . (g) Substitute the answers found in part (f) into the junction equation found in part (d), solving for $I_{3} .$ (h) What is the significance of the negative answer for $I_{2} ?$

In this case, three guns that already given determination as I eating a troll I 36. No, these three currents are the branch currents which are flowing. And according Do that I have marked the polarities across the components once again the current entering the polarities plus and the current which is living that polarity is minus. Now ask for this new addition. Let's start with Step A. Frist. We need to find the equation for upper, so just write it down. We need to find here the question four up. Now ask for the gave you mentioned once again this some off potential difference across all the remains in any grow circuit. You is zero therefore, in order to find the question for the group. But it just looked like you were there so is stocked with aiding and will go anti clockwise. So eating minus big dimes I 80 that it's going which is going to minus 11 times. I drove less drugs minus seven times I 12 minus five times I e. D is equal to zero. So therefore solving further. It's a G minus 13 times I eating minus 18 times. I drove last 12 is equal to zero. Finally, we get a question as 13 times I eating bless 18 dimes. I trow is equal to 30. Will mention this as immigration, eh? And this time we're going toe create lot off equations. So that is mentioned the name according no into step, be define equation. So write down in question for the Lord Liu. So therefore, now we'll start with back cream that is 36 were again going anti clockwise. Bless seven times I trow minus tro bless 11 time I drove minus five times I 36 Music would use you. Therefore 24 Yes, 18 times I trow minus five times I 36 is equal to zero. So finally we good day question as 18 times I troll minus five times I 36 is it will do minus 24. Let's mention this as equation would be so these are basically two answers which we are supposed to get in Step eight instead, be that's small for you Step see before that. But it just tried to get the diagram for reference. OK, Now, in order to find the aggression for the node on the left hand side, so just write down here. We're trying to find equation for the node left inside. We make use off Casey Ill. That is scared. Jobs current, low. And according to this particular law, write down some off the currents entering and note, eh is equal. Do some off the currents leaving no tea. This is we need to remember But therefore, as faras Nori's consider I 80 is entering into it and I 12 on i 36 on leaving So right in this fashion will mention this as immigration one. And this is the answer for step. See, now that's right. Down to step to you here using a question one. We need to find the question for current I 36. So what? We're right. Using in question one, we find equation for I couldn't I'd 36 dad four i 36 is, according to I 18 minus I trow we have just moved in terms around and accordingly the signs are changed And this is the immigration to animation and this is answer for Steffy anymore. Father, let's talk about step. You know now to eliminate real first, write down the statement to eliminate I 36 from the equation of the lower loop. Well, put a creation too. Immigration be therefore 18 I trill minus five times I 36 is equal to minus 24. This is the question be which we already have. So therefore, let's put the value off I 36 in there. So 18 I trow minus five times by 18 minus I trow is equal to minus rifle solving further we get therefore 18 nitro minus five times I eating less five times I trow is equal to minus rifle. Therefore, finally we get 23 eyed girl minus five times I, Dean is equal to minus 24. Let's mark this equation on Dhe Caldas Immigration Hey, and this is the answer for Steffy. This is a question with the elimination of the term high 36. No, let's go to step F. We need to find the values off I 18 and I troll estimation. We need to get this to values here. So we need to make youself doing patients to using immigration e and gration Eat. Let's join down the easy questions first for the reference. Therefore, it's 13 times I eating plus 18 times I trow is equal to 30 and minus Fyi, eating last 23 times I trow is equal to minus rifle. So this is a Grecian, eh? And this is aggression. Now we'll try to get the question in the form to find the value for trail. So therefore, eating I troll is equal to 30 times. But I need you to sign 13 times I eating so 30 minus 13 times I 80 so therefore begin to value. If I troll, we just need to do I'd buy a dean so it will be a combination 30 minus 13 i 80 do I did by 80 So now therefore we're right here I trow is equal to the final calculation would be 1.66 minus 0.7 to toe i e t. This is the question that we have got in dumps off I troll Now let us put notice Board the value off I trow in a grey shin ae therefore minus phi times I 80 less 23 times 1.66 minus 0.7 to 80 bracket accompanied is equal to minus training, for we have put the value of Phi to any question solving this. Rather, we get minus phi off I e d less 30 age point on it. Minus 16 points 16 or six times I eating is equal to minus rainfall, therefore minus trained U N 0.606 Aye aye. Eating is equal to minus 62 point on it. Therefore, the value off eating that we get these 2.877 amperes. This is the answer Four step f At the same time, we need to calculate the value for now. I trow so we can make use off question, eh? Should write down using a Grecian, eh? I tried to find the value for I tow. Therefore it's eating. I trow is equal to 30 miners 13 times my eating. We already have the value of fighting now, so that is too pointed 77 amperes, which is coming as I will bye deriding by 18 further, it will be minus 0.411 amperes. This is the answer for the same step with I trail value, which is a current flowing through trial. Um, resistance. Now that's wide step G. To find the value of 5 36 Okay, so here we need the value of 5 36 Will make use off question, too. From the study. Right here. Reville make use off immigration too, from stepped in. So therefore, I 36 is according to my 80 minus I troll. It's for the values 2.877 minus I travel knew which we have got minor 0.411 amperes, which is equal to your point to 88 years to their full. The value of I 36 is equal to 3.28 and years. This is the answer for ST G now. No, the last trip that his edge the significance off *** do sign. So we're writing themselves. Statement the negative sign. Well, write it down. The negative sign off I drove implies that couldn't flows to travel home in a positive direction. In a positive direction through the direction mentioned in the so called Degra off. Be aiding born 30 This we can mention for though if you want that weekend stayed that I drove those from right to left in the brunch. There travel voyage battery is connected. Wait! The magnitude as Cedo, born for 13 amperes. This is a financier

According to Joe, through some of the potential difference across the element in the circuit around any clothes. Forget movie view. That is the mission off. Luke. They're tabby physical studio. According to Jumpshare ruled the sum of all current into the junction in a market is because to some off the current, out off the junction in the circuit that permission in Got it. But the truth commission out buttered. Okay, Now what does that get? Diagram as shown in the figure by applying the no rule as junction rule, we can write to to I want plus gaiety Music was toe I toe and we can write I is you two minus even minus. I do are two minus. I want our one. Majestic was true. Deal you two minus I three rt miners I to our tow. It was 20 He want that? Even if the coastal three prime zero to do with the course traffic find the level are one is a close bullpen. Arms are to Are you Is it close to 20 home and are three in the close balls? Not be old. We have no I because I buy one last I three medical toe pence Levi, not dont I toe t minus 20 i to minus 10. I won in the courtroom Little six minus party I three minus 20 i to it was your deal after scoldings picket Ivan Intercoastal three by 110 MPs I do. It equals two one fight upon 110 MPs and I three it was to develop on 110 MPs. Okay, Therefore the sudden shot three by 11 10 amperes 15 by 11 10 ampere and 12 by 11 10 MPs. Now it will be part V. The potential difference A across the potential difference between a and B Delta b a If it was to be a minus, their baby tense, we can die. Jitter my nestles r two r two plus commission Ito and substitute of aloof current A for I to 20 only four through 15 by 110 a. M. Pierre for I to 20 own four r tau and explained Available for into hands, Dubbie, be It is a portal minus being by 110 MPR into dont own plus 6.0 cold and big it 3.27 world. Therefore, the potential difference between A and B is 3.27 world. Now, the potential difference between a envy with a different parts through even is with a different part through Even if Derrick up the baby is supposed to be a minus that baby we did the whole truth even. Plus I want our one. Okay, so you're 3.0 hold or even three by 110 ampere for I will intend home the distance for our fans. We get equine beetle at board, see by 110 and peer into 10 0 and bigger. 3.27 goals. Therefore, the given statement. This group No, the graph now the graph Portis location graph in different loop as shown no graph four location work you know will be like this. Here we have Bryant. If e be I think e it g and be here. We have good potential here. We have locations. No, The potential was the location Braga for different flutes. It grabbed. It is in the potential artists location Draft for different look as shown in figure. Thank you. Another graft. Yet here we have locations. Be be that's e won't be be that e see be be no one more graph being of between potential worsens Location graph for different blue Here we have, yes e the locations and prevention.

In this question, you are given this circuit diagram. Uh, there are is given to be 10 mega homes. Okay, then, uh, given this table values Delta v and T when the search is trown at B k. And then so that means this is the discharging situation. Okay, so and then you are asked to calculate lawn natural law off Yemen, developed by Delta V. Um, and then the e m f is 6.1 night. Okay, on. Then you are asked to plot them control a graph on performer linearly square feet to the data. Okay, so I do this using excel. Uh, and then the graph can also be plot using exile. Okay. And so you get this equation. Uh, why it goes to 0.118 x plus 0.882 Mhm. So, uh, let's go to be game. Probably asked to determine the ah time constants off the circuit and the value of the capacitance K. So during the discharging. Okay. What happens is that b is equal to me minus, uh, me three times the e m f, uh, kinds of exponential exponential tea or how? Okay, so, um, e over the outer V is equal to e t over tower. So if you take natural on both sides, you get one of the tower when we're Tao. Thanks, t. Okay. And then the equation off the lying. So it's ah, Don, uh, you over the top. The national law zero Delta V equals to 0.18 t plus. See? Okay and see is, uh, 0.0. It it's too. Your place. Zero It it's too. Okay. So from here, we can see that one of the town is 0.118 So to how the time constant is one. Divide by 0.118 This is equally true. 84.7 seconds. Okay, so this is a time constant. And then to find the capacities, I think the best chances how are Okay, So 84.7 derived by 10 times 10 to the six. This is equal to 8.47 micro sharing. Okay, so this is the answer. Uh huh. This is the capacitance off the capacity. Okay for this question, and that's all

Friends in the gravel circuit. The value off the IMF is 48 Would inductive is 800 Gap distance is country micro for it. Resistance urban is complete Viable on our two is 5000 home at these cult zero as it's closed. That is the start solving the part eight Applying doctor jobs Law in the loop first in lieu bun that is e M F minus. I want our one minus potential across in Dr Tau zero on potential across in dr Will be minus l d. I went up on duty. Say this is the question burn d I want upon duty can be written. Is he upon l exponential off minus our Valenti upon l putting any question bun We can write e m f minus. I want our one minus l the Ivan upon duty tau zero on solving ever be questioned for I want we will get he upon urban barn minus exponential off are one and upon t in the largest loop, we will get e minus I to our toe minus potential across Capitol Stato V zero. Potential across Cap Lister can be defined a charge on the plate upon its cap Pistons taking derivative off equation too. We will write zero minus our toe D i to upon day t minus one upon See Did you two upon duty? That must be Jiro. So from here you may right minus are toe the i two upon the t minus born upon See I to its cult Kojiro solving the equation you will get you too is defined as integration off I to deity further limit Jerusalem city on I to having the value from above equation You can write e m f upon our two into exponential off t upon our to in to see on duty on solving it and substituting the limit to two. You will get e m f into C one minus exponential off minus t upon RC Yeah, and be part Yeah, from here I forget to write this equation I do to be e m f upon our to explanation off, minus de upon are going to see And this is Ivan. No second part at T Skull to zero I want it's called 20 and I do is cult toe e upon all to exponential toe the power Jiro, you will get 48 upon 5000 It is to be 9.6 into 10 to the power minus three ampere and see part after a long time at T skull to infinity Ivan is called toe upon our 11 minus exponential off minus infinity. So it becomes e upon our one. He is 48 are vanish 25. It is to be 1.92 ampere. Okay, I took you will get upon our toe. So it is to be zero. Yeah, in de part. We have to find that the for I want to be equal toe I took equaling What? The equations he upon our one one minus exponential off minus our warranty upon l. It's called Tau e Upon our to explanation off deep upon are going to see on simplifying t can be return. It's on simplifying the situation. T can be written as l r toe see over l plus are to his square seat substituting the value l is given 800 r two is given 5000 cap distances to in tow 10 to the power minus five Induct Ince's eight are two is 5000 square and toe See that is two into 10 to the power minus five. So it is to be 1.6 in tow, 10 to the power, minus three seconds. So after this time, both our current will be the same in any part. At T Skull to 1.6 and to 10 to the power ministries. Second current Ivan having the value e upon our 11 minus exponential off minus are won t upon l substituting the value e m f is 48 are one is 25 one minus external Urban is 25 Time is 1.6 and toe 10 to the Power Ministry upon eight. So it is to be 9.4 in tow, 10 to the power off, minus three and period. No, In the last part, we have toe find the current. We have to find that time We have foot I, Toby equal toe. I won by two. That is 1.9 by two 0.96 and peered So eat upon urban one minus exponential off our 20 upon l will be 0.96 substituting the value this value is 1.92 bon minus are one is 25 l is eight in tow. T so on solving it t you will get a 0.22 seconds And this TV air calling de hope, that's all. Thanks for watching it.


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