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Problem 46 Hard Difficulty

How many different resistance values can be constructed from a $2.0-\Omega,$ a $4.0-\Omega,$ and a $6.0-\Omega$ resistor? Show how you would get each resistance value either individually or by combining them.

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Video Transcript

ask for the question. How many different resistance values can be constructed? So with the help of this tree registers, let these registers stars be C R. One is acquitted. Rooms I do is equal to four rooms, and our three is equal to six hopes. No, we'll go step by step. First Step eight. Well, consider the cities combination CCDs gumbo first run. So are four is equal to Ireland. Bless our to bless artery so we'll write the values two plus four plus six. That is going to be trouble so we can construct 12 resistance. Next. Similarly, we can go ahead with, Say, are five is equal to will take two combinations here. So are one place I do so which is too blessed. Four. Which is again 60 these are different values off the road, Mistress. We just mark them as answer next. Oh, let us consider our six, which is again a combination of two. So say are to place our three. So it is 46 It's going to be gentle. The next one CR seven are seven is a combination off Ivan and our three, considering their insidious or two plus six which is going to be a Tums again. This will be a dancer. Next. Say step. Be well. Consider parlor combination. So battle combo. Okay, Now let's take the notation as our eight, which is a combination off our urban badly too. I don't know. That means it is going to be two forms battling your forearms. We saw this here so therefore our aid is equal to it will be doing before upon to place room. It's a battle formula. Okay, so it is going to be 1.33 homes disease. A gain will be done. Sure. Next, let us consider our nine, which is a combination off our to paddle into our three. So here are Do is forums are 36 homes, so consider it does four times six upon four Plessix So which is going to be 2.4 rooms? Next? Let us consider our 10. It will be a battle combination off our one. An artery so too crowded into six. So in two times six upon two plus six which is one point files now will you consider are 11 as three battle registers. So Armand battle too are too badly to country surgically mentioned the formula here for your reference. So it is our one Mikey Pride. But I do Mikey back. There are three Divided by Arvin. I too. Yes, Are you are three? Yes, Ottoman All three. Let's put the values your so Drew dies four times six doing before. Less for into six less doing physics. And that is coming as 1.1 home. This would be under their answer. Well, it's more head. The stick said Step see, but consider Siri's and parallel combinations show right down here CDs and badly combos. Now let's start with our troll. We can dig are one and our battle in series without a tree. So therefore, it is a combination of two battling for less. Six that is going to be two times for a born two plus four plus six. It will be seven boring 32 year olds. This answer next one. It stood in terms off artery taken of the combination That is our to battle our tree less armor. So it will be a combination off fool all Miss batter. Six homes. Yes, you so full band in six that is 46 upon four plus six and arrest you, which is coming as full 0.4 arms. This would be your answer. Okay, Next one. In the same thing, it is considered as all 40 which is a combination off Arman battler to our three bless our toe, which is equal do to parlor to six less full. So again, two times six upon two plus six plus four, which is going to be five boring firearms. Ultimately again, the answer. Take some of the combination now so d ready. And we can have different combinations of Siri's and battle. So let us consider the first run is ar 15. What we're going to do is Arvin badly with eye to eye on our tree in cities. So again seen June's Battle Bay four plus six, which is going to be too badly. 10 now resolve this. There is two multi planet 10 upon two. Plus, Stan, that is going to be 1.66 homes. This should be a dancer. It is considered to more combinations right now. Yeah, and stick it as our 16 as our two battle too. Siri's combination off our oven and our three Are you his four rooms battle to two plus six. So it is basically four battle to it. It will be four into it upon four. Press aide, which is going to be 2.667 homes. This will be done. Supported a combination. Did the last one as our 17 which will be our three. Battle to a combination that is serious combination off our one and our goal. You know, six battle to cities off. Do bless. Four, 2 36 barrel into six. So get six sixes are upon six plus six, which is going to be three homes again. This is the way to solve this particular problem.

Top Physics 102 Electricity and Magnetism Educators
Elyse G.

Cornell University

Marshall S.

University of Washington

Farnaz M.

Other Schools

Zachary M.

Hope College

Physics 102 Electricity and Magnetism Bootcamp

Lectures

Join Bootcamp