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Problem 8 Medium Difficulty

Consider the combination of resistors shown in Figure $P 18.8$ .
(a) Find the equivalent resistance between point $a$ and $b$ . (b) If a voltage of 35.0 $\mathrm{V}$ is applied between points $a$ and $b$ , find the current in each resistor.

Answer

a. $$
10.7 \Omega
$$
b.$$
\text { The current is } 3 \text { Amps }
$$

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Video Transcript

in this particular problem, we need to find a girl in the distance between A and B. So let's start with step, eh? And we're going to find a violent resistance between trailer homes. Time six. Home and let us consider it. See, Arvin, since this boulder distances are in Baghlan, we'll do the calculation as 12 into six born 12 plus six, which is coming as forums. So in this case, the Ireland value is our forums. Instead, be we've tried to find become violent the distance between Fordham's and Adams. It is considered it as I do since they're in Palin again, we'll use the same formula for into eight upon for passage, which is coming US 2.67 homes. So therefore value of our goo is 2.67 hours. Now let's make a so good here with the effective resistance is that we have already calculated between A and B. Nobody nobody does are one. This I do and the middle one is our firearms. So value of Ireland is forums. Value of Artoo is 2.67 homes. Does Joe Torre distance? There is a figure. This is between A and B is equal to let us stick the notation as Artie Asfour less five plus 2.67 homes just coming a as 11 born 67 homes, therefore effective distance between and B is off 11.67 arms, and this will be our just answer now. Next year we need to find got him through each with this year. So let's make a circuit first. So here the circuit becomes we need to connect these 32 distances in the circuit with 35 word battery attached. As for the given statement, so let me just read it as carbon are too values, therefore room file and 2.67 homes. The current we just flew into the circuit now is I. So step, eh? The current through each of this show Basic. Where do I, which is 35 wars divided by the combination off The resistance, is so four plus five plus 2.67 homes. And we're just coming as three amperes. So the kind we're just going to the circuit is off tree and beers now instead, be we're trying to find the world age across. I went file and art. So let us write award age. It grows our win. Take the notation as we are one, which is main current into our bond. So main current is off three amperes 1,000,000 part of these forums. So we are one is off 12 boards in the next step. See where Gage it goes. Firearms, which is again main cutting tie into fireman a distance. So mein Candies off three into five. So that is coming as 15 words on In Step D. We find the war Gage Gross. I do. We'll take the notation as we are to which is current multiplied by, well, your fighter. I ease off three and Beers arteries of 2.67 homes that is coming as 8.1 boards and this fi own weekend denoted as we file that is weird to get gross firearms. Let's do the next calculation, but Step E I keep dating as calculations. As for the questions, the 1st 1 now since work age in battle in combination of the resistance remains the same. We can see that too. We Trow home is equipped to be six homes is equipped with 12 worlds. Asked for the audition in secret. Therefore, if I want to calculate current home which will be a combination off we troll a bomb you have during this trip. It is true, Adams. So to avoid divided about home which is one and here and this will be our answer in the second month that a second step. If I want to calculate the value of current flowing through six home register, it would be be six home upon six home using simply or Miss Law here. So 12 old to do I date a basic psalms which is to our viewers. This will be a second answer. Step three, we need to calculate the value of current which is flowing through file. There's a main current so well, you off the main current history ampere. So why don't we just ruined your fight is also off Three happy years. Therefore, we know that wordage across four home will be similar to work day across eight rooms is there in parliament which is off eight born zero on walls. So again, if you want to calculate the current forum which is equal to well to get clothes for dividing their forums, so 8.1 upon four, which is, to one peers. This would be our answer again. The same time you want to calculate current to eight home, which will be a combination of VH home upon while you're there, the salaries, a Tums and the 8.1 upon eight. So we're just coming as one in Here is the way we need to solve this predicament. Cem to get dances

Top Physics 102 Electricity and Magnetism Educators
Christina K.

Rutgers, The State University of New Jersey

Andy C.

University of Michigan - Ann Arbor

Marshall S.

University of Washington

Aspen F.

University of Sheffield

Physics 102 Electricity and Magnetism Bootcamp

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