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Problem 52 Hard Difficulty

The circuit in Figure P 18.52 a consists of three resistors and one battery with no internal resistance. (a) Find the current in the $5.00-\Omega$ resistor. (b) Find the power delivered to the $5.00-\Omega$ resistor. (c) In each of the circuits in Figures $\mathrm{P} 18.52 \mathrm{b}$ $\mathrm{P} 18.52 \mathrm{c},$ and $\mathrm{P} 18.52 \mathrm{d},$ an additional $15.0-\mathrm{V}$ battery has been inserted into the circuit. Which diagram or diagrams represent a circuit that requires the use of Kirchhoff’s rules to find the currents? Explain why. (d) In which of these three new circuits is the smallest amount of power delivered to the $10.0-\Omega$ resistor? (You need not calculate the power in each circuit if you explain your answer.)

Answer

a. 0.708 \mathrm{A}
b. 2.51 \mathrm{W}
c. see solution
d. \text { So, Lenseat power would be dehivered in diagram (c). }

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Video Transcript

in this particular problem, we need to find the current in the fire register into Stimpy. Now, will you go stay. Best to start with Stimpy. What? We need to find its current through fire register. So we'll give the narration as I file that we need to find out. So no, If you see figure a now, in this case file and ego, I'm better. So my right now and figure a my own and a tome are in a bad combination. So dead for R B, that is, bottled resistance becomes file. Any term battlers will calculate by using formula as fine to it upon five plus eight, which is coming as 3.76 homes, which is the value of I'll be there this panel combination of firemen ago. No, let's to draw the diagram to understand this so the diagram will be this is attainable, which is that in figuring the pattern combination that we have, court is off 3.76 homes and that is connected with the battery, which is off of being wounded. So since 3.6076 homes and you know they're connected in cities because the same Candice running through them, which is I so therefore using simple Wilmslow Isaac will be upon. So we is off 15 word and our will be a city's combination off these two red distances. 3.76 plus Daniel. So therefore, the garden, which is going to the circuit, is of 1.147 years. It's marked this first now in the next beach. What we're going to do is so now this is a continuation off step only. No. So work to show. Where did you go? I will write it down with the drop across three boy 076 home will be 3.76 multiplied by 1.2147 ampere. So the distance and go God and Regis ruin to it, which is going to be three born fighting would so 3.5. The work is a water drop across 3.76 homes. No says 3.76 homes is in battle in combination off firearms and eight domes. Warg, age Cross my own. He's also three point fighting words. This is more to meeting to understand since it was a panel combination show. Ultimately, the current in file, which is equal to I fi home Dan four. So currently file becomes 3.53 worlds divided by file. So we're just coming at 0.7067 years. So ultimately, in order to write, answer that its current profile become 0.706 Appears this is work is the answer. Full step away is the final answer. No. Ah! Let's go with the base three for doing the steffy. All right, here, step be here. We need to find the power deliver, kiddo. Fire Modesta. So let it says you let power. I really would two fi over this job be be fire room to therefore be five. Home is equal to good and going through fire The whole square multiplied by a fire register. So which is equal to zero? Born 706 The whole square market Bradby file which is coming as to warrant fireworks. Sure, right here. That power with respect if I am register is going to be too boring. Fireworks. This is the answer. Full step be No, let's talk about step. See, We'll go to the next speech. Now, in this case, let's get the figures. First year automation year. It's just a file. Okay, now to get there and support step. See? Actually, the question is which diagram de presents the use off a chop suey. Okay, The question is which diagram re presents. They use off your chops so we need to mention year. So it's stuck writing figures such as be and D So you need jobs of that figure such as B and E. Okay, have batteries a test, right? So write down how back res, which are basically connected in CDs. You can also that this two batteries off of Qin World on again, off of cabled. These are connected in the cities with the same direction as far as their polarities are considered. So the act basically as oh single battery that means they're polarities undervalues are getting at it Singer battery answer Been information that registers such as a jewel and file god bad to each other Indies cases. Okay, so we need to for they were right down there. Four. We need to apply Jos Boy Digital two. The figure 18.5 to see wouldn't remember that it important? If I do see, we need to apply K just four days ago. We write the reason for that sense. It has two batteries each connected in different loop. That means sees these two batteries are connected in two different groups within two. A blanket. Just word is law to each room. So this is what our on sarees. Now, that's more head first. But you just choose the Daggett. I'm here. I would start writing. No, it's getting down. Supporter step. See your dancer for those steps, E Now the question asked is in which off the circuits is the smallest amount of power delivered to Denham on repeat again in which of the circuit shown these are four circuits is the smallest amount of power. They were, too, though. Daniels. So now if you observed the circuit B and E am I off to back threes in need circuit is getting at it and it becomes 30 word. So right here, step by step, that has shown in the two circuits that is B Andy, you miss off to back threes in each off them is getting at it. This is what we're already mation step, see, And it becomes I thought he would because they're connected in cities. He went with inspector there. Polarities. So this e m f is much greater then the e m f and hey disfigured e and see No, the next one. Also the figure Sena. So in figure C to back threes animation, two batteries off 15 world each are dashed. I should the Islander different groups. But at the same time D sand got int through Daniel in opposing direction. Now we go on discerned that in figure See the current through Denham is in this direction and Karen to Denham due to this 15 year old battery is from right to left. That means up with the direction So be our limited. But they seem the current to the venom in opposing direction because off rich yeah, myth becomes less effective. This the smallest amount off power. Do you board to Daniel in the salt it off? Be 18. Foreign fight. You see, this is what we can see and this is ah answer for stem d

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