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Problem 28 Hard Difficulty

A dead battery is charged by connecting it to the live battery of another car with jumper cables (Fig. P 18.28). Determine the current in (a) the starter and in (b) the dead battery.

Answer

I_{D e a d}=0.3 A(\text {downward}), I_{s t a r t e r}=173 A(\text {downward})

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Video Transcript

in this particular So good Dagenham. Let us assume three currents. Ivan. I do. I three I shone in the figure and I have marked the polarities across the registers. According to the current flow, the current which is flowing in the register, that polarity is considered as positive. And the current When it moves out of the register, the polarity is considered us negative. No, the order Cristante grid step, eh? We need to do the mind. The current in the starter. So like start a good end. Be. I can't. This is a notation that were taken to applying. Gave you apply. Okay. Jobs were digital. Que vea do the opera circuit we get so we need to basically apply where did rule to the opera circuit of the tiger. So we start with 12 volt living polarity has to be considered across every compliment minus zero Born 01 island minus 0.6 Hi three is equal to zero day four to avoid minus zero Born 06 by three music or do 0.1 Ivan. Therefore, in order to get the value of island, it is going to be Ivan is equal to 12 hold minus 0.6 Hi, three. A boy, Siegel Boys. You know what? So therefore, finally, we get a question One as Ivan is equal to 1200 minus six by three. This is the equation that we need to mark as equation one. In the next step, we need to apply, so we'll write it as applying. I gave you two the right, mostly. So let's start with that. So then would because the dead battery bless one I to we're taking plus because while moving clockwise believing polarity for the current is plus minus Tzeitel form 206 i three is equal to zero. So therefore we get the value of Phi Tau as Cedo Born 063 minus 10. This is the recreation, too. That really to mark No, let's talk about K C E O. That is their jobs Currently low. Ask for the gate. Just current low, some off. I write down some off entering currents. Easy, quick Do Cemal leaving guns. So let's mark here as north, eh? In the main diagonal. So with this picture that with respect to North e, the enduring grant is Ireland and the guns which are leaving the north, eh? Is I do. And I d c. All right, addition. Off I do a nightie. It's a question that we get here. Is Ivan is equal to I do. Yes, I three. And this is gonna be our equation. Three. It's more head. So Asper, the question three right down again we got Ivan is equal to I do hope inside three. So that's right in terms of my three first. So I three is equal to Ivan minus I do. This is the question now, using Equation one and two. What we're going to do is I three is equal to its pulled the value of Ivan ass which were already got 1200 minus six i three minus the value off. I do as see you. Don't foreign his eagle six i three minus 10. Stand for solving this further. We get 1200 minus six I three minus 0.6 My three bluster. So finally, therefore I three is equal to we get it does 110 minus 6.63 That's right. It further get four. I'm three. Bless 6.63 is equal to 110. Therefore, what we get it as I three is equal to 110. Divided by seven. Born 06 day four Mandy, off by three, is equal to 1 71 0.3 age amperes. So but write it as I couldn't in The Starter is off value 1 71.38 and peers, and this is a answer was Type A. Let's move further for the step. Be here. We need to find current in the day Bakri to assume lit current and the dead battery be I do now we already have a question to see using aggression. Do the right date Question one first. So that is gonna be I do is equal to 0.63 minus 10. So let's put the value of 53 Any question to zero Born 06 multiplied by 1 71.2 years minus day. So therefore the value of I do that we get here is you know, point toe a three amperes. Let's mark this so current. This will be our final answer. Couldn't in the dead battery will be. I see your 0.283 anchors. There's a fire. Last year

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