sketch-the-indicated-curves-by-the-methods-of-this-section-you-may-check-the-graphs-by-using-a-cal-7

Question

Sketch the indicated curves by the methods of this section. You may check the graphs by using a calculator.
An electric circuit is designed such that the resistance $R$ (in $\Omega$ ) is a function of the current $i$ (in $m A$ ) according to $R=75-18 i^{2}+8 i^{3}-i^{4} .$ Sketch the graph if $R \geq 0$ and $i$ can be positive or negative.

Eric Mockensturm · Accepted Answer

were given this circuit that I&#x27;ve drawn here in black um and were asked to figure out what is the resistance between points A and B. This is basically just um you know kind of lumping resistors together and finding frequent out of through in parallel or series. Yeah. So what I did is I took these two resistors here and we can see that their ends are connected so they&#x27;re in serious. So I replaced I mean they&#x27;re in parallel so I replaced these two with this one in red here. So basically and take these two out and replace it with this one here. And that resistance is just the resistance of these two that are in parallel. And so that&#x27;s six times three or 18 divided by six plus three, which is nine. So that is to our I guess these all have just are as 10 homes in this case. But you know these are all given in terms of our so this this this equivalent resistor here winds up being too are. So now we can see this and and basically this is ours. Point A. Right. So now we have this circuit here and we can see that this one and this one these resistors are in series, so I lump those together. This was to our This one here is to are and this is our so this one is three. Are these lumped together and these ones lumped together is six. Are And so now you can see that these two equivalent resistances in parallel. So the equivalent resistance of them. If we lump them together into one, we get six are times three R. Which is 18 R squared divided by six R. Plus three R. Which is nine are and that winds up being too are. So if our is 10 homes, then this equivalent resistance between A&B. is 20 homes

Netra Sharma · Answer

so figure on the right has three different situations. The resistive ity of each material is 1.5 times 10 to the negative 20 meter and in the figure, the value l not actually is equal to five centimeter. Also, each material is connected with a battery off three volt. All right, but the way the current is sent is different if you carefully look at it. So based on that, in part A, we want to find the resistance in each case. All right, so let&#x27;s begin. So this is the part, eh? Let&#x27;s take Case one, which is figure a. So, First of all, what we need to do here is we need to write down resistance in terms of resistive ity. All right, now, resistive ity so roasted it is given and length. This is gonna be the length of the vitriol. And a is the cross sectional area. So if you carefully look at the figure, the length of the material is actually going to be along the direction of the current. Okay, so in figure a length is actually for l not. And figure B length is actually l not. And in figure see, length is twice a lot, so that&#x27;s the difference. Similarly, the cross sectional area actually is perpendicular to the area perpendicular to the direction of the current. So that makes the difference. All right, so to solve the problem, let&#x27;s just go to second. Second pays here. Ah, so again for Casey. All right, which is figure one. We see that l equals four times l not. All right. And a is going to be called to to l not times l&#x27;m not. And this is going to give us our it cools row L over A, which is going to be rule for l not over to l not squared. Right. So that&#x27;s gonna be twice row l not twice rover l&#x27;m not. If you don&#x27;t see what why, I&#x27;m getting a lot here. I can just show you hear this l not cancels out with this square valley here. And that&#x27;s what give me that Will give me twice for over a lot. So this is Casey, and we know the recipe of the material. So two times 1.5 times 10 to the negative five o meter over a lot is five centimeter right? And this is going to give me a 0.6 meter. So are in case a 0.6 meter. All right, now let&#x27;s go to next page for kiss be two. So case P Now, in this kiss, we can see actually from the previous figure that well, it costs l not. And a he calls four l not times to l not let me show you again. Kiss be. Look at here. L is along the direction which is not in the cross section, is twice a lot times for a lot. Right? So that&#x27;s how I&#x27;m getting this fairly here and from here, resistance is going to be row L over a Now, in this case, length is they&#x27;re friends. So this is going to give me row over eight? L not. And I&#x27;m just gonna plug in the value. And where is this gonna put the straight solution? Here. This is going to be 0.0 375 home now for Casey, which is bigger. Kiss three is the figure C In this case, l is going to be twice al not and is going to be four l not times have not and this is going to give us our equals. Zero point 15 home. Yeah. Now for part B. Let&#x27;s do the same thing, case, eh? So, Part B first and kiss a figure. A eyes going to be V over. R and V was three volt, three volts over. Is there a 0.6 home and this is going to give me five amps. All right. And case second, I cause V over R because three vault over zero point 375 home, and this is going to give me 80 amps and in case see, I because V over R, it cools three volts over 0.15 home and this is going to give me 20 amps.

Mederic Rodriguez · Answer

this problem. We have a graph and were asked to find the resistance at points one and points to We have the current, which is 0.2 amps and the voltage 0.1. Which is there a point? Three bolts homes laws B equals IR. We do not have the resistance, so we were isolate. The are I plug in the numbers 0.3 divided by 0.0 to the resistance at 0.1 is 15 Holmes. That point to the current is 0.4 amps. The bolt age is 0.4 volts. Do the same thing. Fall teach over current 0.450 point 00 zero four and resistance that point to if 10 Holmes.

Sanjeev Kumar · Answer

the total distance. The total distance across the circuit is polity close to our one less are too arty Divide by our gutless party A system last 40 exiting They were both our peoples 15 we get 60 homes the current across our one I is it was too. Were you born? We&#x27;ll build a distance. We get 1 2016 We get to empty your current You find the current across our to an arty to find the current across r two and r tree We used jobs through to find the voltage across the rule loop Else falling the law it goes to minus I think I would I just want 20 minus two x is being you get to empty words The current across our do is i r two is equals to they know divided by r two musical So zero point Triple six ampere The current 0.666 ampere the current across our three is then I art three is equals to the new Or did you close to divide by RTZ goes to 1.333 And here

Jayashree Behera · Answer

the new rules needs toe vault. Its job grants resistor three. It is equal to five folds. Therefore the current is found to be five goals which is the vaulted straw over resistance. And this gives that got him to be 25. I really am for you on this forehead straw occurs since the motor dropped along the upper branch must be too well hold. Therefore, the voltage drop across resistor three is equal to this value. It&#x27;s another. We have the current over there We can find the resistance off resister one. By dividing the voltage, it is still salvage B. Let me just right that over the current that we found and then re plug all the values and find the resistance off resister Want to be eight people&#x27;s now for the second buck Ah, resistant to has the same voltage at state borders drop as resistor three which means that I is gonna be same for both of them and therefore we can find that assistants by dividing angles by dividing the voltage drop over there with just a little B C over current that is equal to this value on plugging the values over here they get that assistant still be 200 or so. This is the resistance off resisters to. And this is the resistance off, sister. Thank you.

Eric Mockensturm · Answer

for the given problem to resist is our trailer equal into ah to our resistance. This then is in seriously there all resistor on the right. So the equal and resistor our dish is equal to tree are now near the top. Left are two resistors to r and four are which are in Siri&#x27;s equal end to our dish is equal to six are finally our dish and our double dish are peddler So the net equal int resistance will be our dish Times are double days divided by our plus our double dish This use us to our which is equal to 20 homes wearing their final step we used the on are to be 10 alms.

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Sketch the indicated curves by the methods of thi…

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

Grace H.

Kayleah T.

Caleb E.

Samuel H.

Precalculus Review - Intro

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Basic Technical Mathematics with Calculus

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Allyn J. Washington, Richard S. EvansBasic Technical Mathematics with Calculus

Grace H.

Kayleah T.

Caleb E.

Samuel H.

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus