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In the circuit of of Figure P 18.22, the current $I_{1}$ is 3.0 $\mathrm{A}$ and the values of $\boldsymbol{E}$ and $R$ are unknown. What are the currents $I_{2}$ and $I_{3} ?$

I_{2}=2 A, I_{3}=1 A

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in this particular sum, we need to calculate the value if I do. And I three where Ivan is giving us three amperes who will just start with Step One that is Ivan is equal to three amperes which is given, and we will try to apply K viel to the second Luke. And okay, real states that I did you bring some off or wordage is in the u is equal to zero and we're going to apply K. We'll do the second appear. I ordered tea put the polarities here, since I do is moving from a to B that is in the downward direction. So pull it. Give the world ege, which will be generated across three home is from plus to minus the same time I win if you consider it is flowing downward to the polarity across the six B B plus to minus now will apply K ville in a clockwise direction and by moving through clockwise, we need to consider the living polarity. So what we're doing here, we'll try to gather the world it across every component in a second look. So when I'm moving from A towards B to Ivan the living polarity across 24 is plus So what I'm writing here Last 24 minus six multiplied by island. Bless Chri mighty play But I do is equal to zero Now you put the eye one asked three. AM Pius Therefore three I do is equal to minus 24 Last six Ireland which is minus 24 last six multiplied by three. So it is minus 24 plus eating just coming at minus six. Therefore, my music will do minus six of one tree which is minus two on beer. So this is the amount of current We're just throwing two to your minister as minus Tampere. This is our first answer. No. Again, in order to find the value of Phi Tree will consider get jobs. Karen Jo. So first that instead be I'll write the statement K c l. That is scared. Droves Control at a particular ignored some off incoming cutting is equal to some off are going courage. So if you observe no b signal be two parents are incoming. That is Ivan than I do and I freeze outgoing. So write a statement as Ivan. Yes, I do music. Where do I three. Therefore, value of fiber, which is given as three amperes value. If I do that, we already found out that is minus two appears music. Where do I three So therefore, adjusting the question that is three minus two, which is one so actually the value of Phi Tree is coming. Yes, one and be here, and this is our second answer.