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Question 18sWhat is the resistance (in Ohm) of resister that has the followlng color bands: red brown brown gold...

Question

Question 18sWhat is the resistance (in Ohm) of resister that has the followlng color bands: red brown brown gold

Question 18 s What is the resistance (in Ohm) of resister that has the followlng color bands: red brown brown gold



Answers

For the given carbon resistor, let the first strip be yellow, second strip be red, third strip be orange and fourth be gold. What is its resistance?

Here for the solution. The government's really resistance of registers in Syria's case R is equal to r one plus r two plus r three tested us The equivalent resistance for the resistors in parallel is that is one by RP, equal to one by our one plus one by our to present by our three and so on the blow circuit in series and parallel combination of resistor Yeah, this is urban tomb are 22 or four tomb and our three storm. An explanation for this is that from the well circuit the resistance R one and R two are connected in series So the equivalent resistance of the streets combination R is equal to r and press are too substitute to ah by two home for our women two and four are to hear by substituting the value we get, R is equal to four Now register r S r three r four are connected in series So the equivalent resistor of the this pillar combination is that one by RP equal to one by rs press one by our three Even by our four it will be RP equal to one by artist president by our 3% by our power to the whole power minus one Now substitute for, um for Rs two and four are 3 to 4 are for So by substituting the value and solving for this, we get RP equal to 0.8 home. Therefore, the equivalent resistance of the resistor is zero point at home. So this is the solution. Step by step with the explanation with the answer, please go through this thing.

In this problem, we have copper wire that has a diameter 0.55 millimeters or 0.55 times 10 to the minus 3 m and the length of six miles. But we really don't use miles. We prefer using meters instead so we can convert this really quick. Using a conversion of one mile is 1609 meters. And so the miles cancel. And so really, the length of this wire is 9654 meters, and we want to calculate the resistance of this copper wire. To do this, we need to use the equation for resistance, which is the resistance equals resistive itty of copper wire times its length divided by the area. In this case, it's pie. Yeah, r squared. But we're given a diameter, so we know that diameter is equal to two times the radius and solve your forum. The radiance we get R is equal to the over to but we're dealing with are square. So if we square both sides, you get r squared equals d squared, divided by form. So plugging this in we get resistance equals resistive itty times the length of the pie. We have one over r squared. So we take the reciprocal of our square We have. So it's far over d squared. So this is the equation we need to use to find the resistance. And we have the resistive itty, we have the length and we have the diameter. So all we have to do now this plug in our values. So we have resistance equals the resistive itty of copper, which is 1.68 times 10. Yeah, to the minus eight. Now the length, which is 9654 divided by hi. And then times four divided by the diameter squared. So we have 0.55 times, 10 to the minus three and then squared. So, plugging this into the calculator we get the resistance. Resistance of this copper wire is 682 0.7. Yeah, arms. Yeah,

In this problem, we are given the length of Connector is equal to 10.9 m and the diameter of The conductor is about 1.30 mm. The ready solution to half of the event, which is illegal to 3.65 Millimeter, which is equal to 0.65 multiplied by 10 Power Ministrym. And the conductivity Is equal to 1.7 to multiply by 10 hour -8 oh half a meter. We have to find the resistance of this wire. Yes, we know that resistance is equal to this treaty into length divided by a which is what rescue team to lend. Goodbye by our square so we will succeed. The values The city is 1.7 to multiple. About 10 power -8 Mohamed here. Multiple about 10.9 m divided by 3.14 markets are square which is equal to 0.65 months after 10 power minus three m old square. When we saw this we get Out is equal to 18.75. multiplied by 10 Power -8. Uh huh. We test square divided by 1.33 multiple. About 10 power -6 m square. And your father's obviously get princess is equal to 14 point. Why not have a temper minus to a ham? Which is equal to 3.141 Mohammed. This is the answer. This question. Thank you for watching video.

So for the first spot, the two of whom resistor on during the first woman resistors I put in battle. So the next the next resistance are the equivalent of existence for these two. Let's call it one go. So this will be equal toe. So we go with the reciprocal route. So we are the reciprocal Zoff that assistance on DDE. Then take it in verse and this concept of the 8.108 balls and then this combination this battle combination. So basically this violent resistance is in CDs with the 4.5 resistor. So for the equivalent resistance off, this combination will be That's going to let me just write imitation. So let's call it our one. That's one. This are too. It's called this artery. So I went back to our battle and the equivalent resistance off organ and arteries are Want to Andi are one toe all You can say this Patil combination off Ireland and Octo is in serious with Artie. So the equivalent existence off this whole competition would be I want to let Sarti because this drug in cities and this concept of the equal to 12 points exhale maintenance. Now this ah, resistance is again in battle. The so our poetry is in parallel with resistor out for which, let's say, is goingto that is going to be going to 18 owns and therefore are equivalent, which is basically the violent resistance off the whole circuit. Equal to say, these two are in balance of the go by the battle in the American, the reciprocal method again. So we add the reciprocal Zoff thes two resistance that Aaron pattern and protect the inverse. So doing that on liking these two values. Over here we get a valiant resistance to be recalled doing 7.4 homes. No, come into the second pot. So we need to find the current in the afternoon on resistor. So let's use a kitsch off slope rule for the luau containing the battery and that 18 home resistance said they have the battery E M F linus well current flowing through the, you know, resistors on DDE resistance off the you know, sisters of that. I didn't object of the art force. This is equal to zero. So this means that I, eating with equal go in if or what? Our food on dde the M m iss exploit our fortunes 18 holes on current flowing through that to the addendum Resistor comes after the zero point g three amperes. So there goes bark tree. Then we have you'll find the current feeling too. The r this combination, the parallel combination. So, in short, we have to go find the current flowing through our want to. So we use kitsch offs neutral again for the outer loop containing the battery on the resister. This parallel resistant combination. So we have oneto large one and then the 4.5 resister is also oh included there also solving for that Soviet playing market. Just look for the outer loop containing the battery and the resistor are want to on dhe, the four point five sister Artie. So we have I three. Archie, this is equal Placido. So from hell we can find No, since these tools art in cities, therefore the current flowing through thes two should be same. Therefore I three should be equal to I want to. This means that the MIT minus I want two times are doing minus. Does he owe? Now we can solve this to find the current flowing through on the parallel combination I cannot do. Let's look the value smell. This is the M F. I want towards taking violent resistance that we found it. 0.108 on our trees is the four point life assistant on DDE solving this week in the current, what comes out? The 0.4759 here Now this is the current flowing toe. This is That's the total current flowing through our one and arto. So the whole combination the barrel combination get is the current off. I wantto therefore, when the current reaches our one on our toe, it divides to go through our bone. And are you in such a way that the voltage drop across? Each of them is saying because he's at this too are in Madeline. So let's see that got in. Flowing through resistor are one is I want and current flowing through the resistor are too which is 25 home is our and since these two are on a doctor in battle, the total current will add up to I want to which we found here and again because these two are in parallel Therefore voltage across both off them should be equal to equal, so everyone must be equal to be so. From here. That's a politeness law on each off the board ages. So we have Ivan are one we could do. I do a lot, though. Now let's find I do. So I do will be I wantto my silas on. Let's use this value if I do or what you said get. I won on only Quito I want to minus island. So from here we get I won It's gone so to be now So I won will be equal to I want to dines are do overs I won Yes, on its love the values now So I want to be found that to be equal to Cedar 0.47599 beers Artoo is the 25 home resistor. Let me this chick Yeah, and our oneness 12 room for something that we get I want to the equal door Cedar point 32 and cue. Uh, no. One thing that I might choose toe do differently if I saw this problem again will be the notations. Now, if that are like a few years the stores Ah choosing the subjects to be our one to plea. It's fine. But since in this case there are a lot off resistors and therefore lots off guard and lots of poultices, it's better toe do notice up stripped like this. Like I 18 is the current flowing through the 18 home resistor. Similarly, our eighth in with the 18 0 That is this toe the resistance off the resistance will be the sub stripped off the resistor itself now. Yeah, so I three instead, off by three you can like I 4.5, which will be the kind of going through the 4.5 sister and yeah, so that way you won't get confused with going back again and taking what your notations are so like. For example, I found I went over here to visit a 0.38 Now I'm going confused about what one presents, so I need to check that So one is 12 home. So this is the current going through 12 sister on. It would be easy if you just ride just to go with the notation with the value off the resistance. Toby on the sub Strict. Yeah, Now for the last part. So the current in the 4.5 formed resistor, which is I three. Oh, so we find that Don't be. Let me just get the beach again. Yeah. So I actually we found that to be equal dough. I wantto So this is it going toe I three as well? So the current flowing through the whole 0.5 registered is also called a 0.47599 year. So we find the power accordingly. So far, word powers will be for 4.5. Register will be. That's good. Now we love the values subject to scare off the current off the 4.5 former sister one dip, live it with the resistance. We get retreat to be a door 1.1 nine. What's this? Is what 4.5 former sister? Um, just stick. So this is also wonderful 0.5 for me, sisters. I ate him. Yeah. Thank you.


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