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Problem

Unreasonable Results Two resistors, one having a…

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79

Problem 11 Easy Difficulty

Show that if two resistors $R_{1}$ and $R_{2}$ are combined and one is much greater than the other $\left(R_{1}>>R_{2}\right) :$ (a) Their series resistance is very nearly equal to the greater resistance $R_{1}$ (b) Their parallel resistance is very nearly equal to smaller resistance $R_{2}$ .

Answer

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Chapter 21

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Video Transcript

Okay, let's look at the question with with some values. We don't know the values off our phone and are too. So let's assume that other one is 10,000 on 10,000 boom and are, too, which is supposed to be a very small compared to our one is one alone. Now let's look at the serious resistance. Serious resistance is simply addition off part one and not two. This is equal to 10,000 and one, which is very, very close to our one, as you can see. So it is indeed serious resistance equal to the greater resistance. Almost now for the part B. Let's use the same values so we know that it's one Divided by R P is equal to one about it back at once, plus one divided by our two. This will be equal to one divided by 10,000 plus one about it. But one this is equal to so now. One divided about 10,000 is simply 0.0 one plus one divided. That one is simply one. So this is equal to 1.1 So So the resistance in this case will be inverse off this value. So our P is equal to zero point 999 nine. So which is very close to one norm? As the questions is, the parallel resistance is very nearly equal to the Smallville distance are, too, which is equal to our two. Indeed, it means that the serious resistance for the this combination is almost equal to the larger one, and parallel little distance is almost equal to the small. Over this hole's Only when I won is much larger than our two. If they're comparable, that's 100,000. This will not hold that much. So this hole's only when one resistance is very large compared to other resistance.

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Irina Lyublinskaya, Gregg Wolfe, Douglas Ingram , Liza Pujji

College Physics for AP® Courses

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Problem

Unreasonable Results Two resistors, one having a…

Problem 11 Easy Difficulty

Show that if two resistors $R_{1}$ and $R_{2}$ are combined and one is much greater than the other $\left(R_{1}>>R_{2}\right) :$ (a) Their series resistance is very nearly equal to the greater resistance $R_{1}$ (b) Their parallel resistance is very nearly equal to smaller resistance $R_{2}$ .

Answer