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Find the current in the $12-\Omega$ resistor in Figure P 18.15.

I=0.43 A

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in this problem, we are going to calculate the current passing through. The resistance are three which we call I three. Let me have our one equals 23 points, you know are two equals to 4.0. Our tree equals 2 12 for are four equals 26 points You don't and are five equals to two points it all as ah, we know that you are for starting the pendant combination so we can write one by Ari. One equals to one by our four plus one by four. Now writing the value 44 we get one by rd one equals to one divided by six points Don't plus one divided by six points, you know. So this will give us adding one equals 23.0 There's called equating one known for serious combination Weaken right do equals to anyone plus are to their stride. He will use for the sorry one end are too I need to equal to 3.0 plus 3.0. This is a coastal 6.0. Let's call it equation too is our 23 are in peril combination so we can write one by r e three equals to one. Divide it by two plus one by three. Let's try the Wellies for this archway and our three won by only three calls to wonder what it by 4.0 plus one divided by Well, so this will give us RG three quarts to 3.0. Next call into question three. No, for serious combination we can right are the four equals 23 plus our five now sitting. The wedding's off decided three and our five into discordant. We get hardy 40 quarts to three points. You plus two points at all. This is a closed every 40 pulls to 5.0. There scored equation For now we see that this Ari Foreign Ari tour in battle so we can write one by rt five equals to one by two, plus one by hurry for now, using equating to end equation for weaken right, I wonder, Why did bi rd five equals to one by six more plus one by five points? You don't This is equals toe Arif life equals 2.7. This is a question number five No, The effective distance off the whole circuit will be R equals 25 plus one. I'll sit in the weather's into this question. You get r equals 2.7 on plus 3.0. So this is a closed toe are equals to 5.70 and this is a question number six more the current supplied by the Barkleys given by I works too. We divided by Ari More sitting well is off this week. And Ari into this equation, we will get I equals two a team all divided by 5.7. So this would give the value off. Why is I equals 23 point to a bear and a lot less college equation seven now potential difference across our before will be before equals toe we minus I are one. Now sitting the Williams into this equation before equals 2 18 world minus into a trip, one door impaired in tow, three points total. So this will give the weather for before as we're four equals to eight point forward, that's called Equated it. Now the current passing through this Sorry boys two equals two before divided by Ari. For this is a closed toe. Good 0.4 world you wanted by five point general. So this is equal stool one point. So in a bed, more the potential difference across our trees, we three equals toe before minus side to our five. No sitting. Well, ease into this equation for before I do in five, we would get we three close toe it. 0.4 world minus into 1.7 a pair into 2.0. So this will do the wedding for our every three years. We three calls to 5.0 would No. The current passing through our tree is return. Is I three quarts to weekly divided by our tree. This is a closed toe, 5.0 Walt you wanted by 12. So this will be equal store by three equals two 0.4 to 1 pair. So this is our approximate result. Thank you.