figure-24-38-shows-the-phasor-diagram-for-an-r-l-c-circuit-in-which-the-impedance-is-337-omega-a-wha

Name: figure 24 38 shows the phasor diagram for an r l c circuit in which the impedance is 337 omega a wha
Uploaded: 2020-02-20
Duration: 2 min 26 s
Channel: Numerade
Description: Figure $24-38$ shows the phasor diagram for an $R L C$ circuit in which the impedance is $337 \Omega$. (a) What is the resistance, $R$, in this circuit? (b) Is this circuit driven at a frequency that is greater than, less than, or equal to the resonance frequency of the circuit? Explain.

Question

Figure $24-38$ shows the phasor diagram for an $R L C$ circuit in which the impedance is $337 \Omega$. (a) What is the resistance, $R$, in this circuit? (b) Is this circuit driven at a frequency that is greater than, less than, or equal to the resonance frequency of the circuit? Explain.

João Gabriel Alencar Caribé · Accepted Answer

for the first item. Remember that the co sign off the phase is it goes to the resistance divided by the impedance, then the resistance. Is he close to be those times they call Sign off the face and we know both. Impedance is authority to 337 and the co signed off the phase is the co sign off 30 degrees, which is the square root of tree divided by truth. And this is approximately 200 and 92 rooms for the second item. It is quite straightforward to see that this record is not working at resonance. And why, in saying that he&#x27;s quite that it is quite straightforward because of the following the tangent off the fees is equal to Excel mine Oh, sexy, divided by the resistance when the circuit is working at residence. What happens is that both react. Ince&#x27;s are equal and the face is the cost of zero. And these is not the case. Our faces bigger than zero. It z Costa 30 degrees, then it&#x27;s either bigger than the resonant frequency or smaller than the resonant frequency. How can we check for that? Well, very easy. Excel is given by the frequency times they looked in a while. Zeke? Yeah. CSI Easy goes to one divided by the frequency. Times like a pastimes. Note this following. We have an unknown face angle that is bigger than zero. It means that exhale Is it bigger than XY? In order for that circuit to go to the resonance frequency, we have to lower excel while increasing exceed. And the only way to do that by massive me the frequency is to make the frequency smaller. Because my making the frequencies Moeller, we make excels more while increasing Maxie that a four toe achieve the residence. We have to lower our frequency. Therefore, the frequency off the circuit is bigger than the resonant frequency.

João Gabriel Alencar Caribé · Answer

in the first item. We just have to remember that the co sign off the phase is he goes true. The resistance divided by the impedance and then the impedance is because to the resistance divided by the co sign off the phase, the resistance is 5 to 5 homes. Onda face is 30 degrees, so we have the cool sign off 30 degrees and these is equals 25 25 divided by the square it off three divided by two. These gives approximately 600 seeks owns off impedance. For the second item, we can remember off the following the tangent off the phase is equals two Accel Miners XY divided by the resistance. The phase in these questions is equal to 30 degrees and the tangent off 30 degrees is bigger than zero. Therefore, excel in this circuit is already bigger than exceed. Now remember, the following Excel is equal to the frequency times. They look tense on daxi musicals to a world divided by the frequency times the capacitance. By increasing the frequency, we are increasing excel while decreasing exceed. Therefore, what happens is that the quantity excel miners XY as a wall, you increase then remember that impudence is It goes to the square it off r squared. Nothing happens in the resistance as we mass with the frequency plus Excel miners XY squared. We have seen that by increasing the frequency, we are increasing this term here. Therefore, by increasing the frequency in this particular sirrah quite that particular set up. We are also increasing the impudence.

João Gabriel Alencar Caribé · Answer

in the first item. We just have to note that the voltage leads the current by a reasonable amount. Then the circuit is dominated by a look tense and therefore we have that the inductive reactors is bigger than the capacity reactors. For the second. Like him, we have to remember to expressions expression for the conductive reactions We cheese equals two amiga times. They booked us on expression for the capacity react in some cheesy goes to one divided by oiga times the capacitance. Now, when the circuit is that resonance, what happens is that x l Z equals two XY And what we have here is a situation where excel is bigger than exceed. Then we have to increase excel while decrease exceed is starting from the residence. We can do that by increasing the frequency so increasing the frequency XY decreases. Why you exhale increases, which is our situation. Then we conclude that, uh, the frequency of the source omega is bigger than they really want frequency. Omega&#x27;s Europe

Mohit Khurana · Answer

welcome to the problem number thirty one point six zero. The pretty one. I&#x27;ve done it in guns. So in this question, were given a lt s okay. And all the components of this account connected in Siri&#x27;s and this&#x27;s our C voltage or is his source. And this is his source has water temperature Rickles to forty one. That assistance is given which is close to ninety on and that he attends of independence is because twenty, twenty one and the world and amateur across that assistance are is one thirty five. So we have ABC today. Parts of this question that miss, we have four parts of discussion. We will solve each part of this question one by one. So let&#x27;s do the part, eh? We had this homeless thing. We will use this fullness here to find out all the perimeters. So first we need to find out the current amplitude. So we know that the current open to is because toe I it is we over r So we have one thirty five over nineteen. This gives us one point five zero mps. Remember that this world is amplitude is across that assistance, which is one thirty five. That&#x27;s where we are using world champions Yura Ko&#x27;s assistance. So we have this answer for our but a not going to the party. So we need to find out the world it across Thie in Dr. We need to find out the workers amplitude So it is real. It is because two current amplitude times and he attends over Newton. So we have one point five times the expense of the independence which is twenty. So this gives us forty more. Let me go to the sea park. Now if we find out that that so we have impotence is goes to hold an amplitude over current amplitude. So it is a concern to forty over one point five. So this kills as well system and that is a cause to undergo off our square plus xy minus x l since when we&#x27;re X is a coast too. One of omega psi and excellence goes to. But we already know the value of the accent and are so we can find out the value of the XY and we know that that&#x27;s so using the simulations, we can we find that this is equals to one sixty because too underwrote off our square, which is over ninety Home square XY minus X l We know that exile is over twenty. So this gives us excel equals two X equals two for fifty two So this is the end of the park. Si on go to the party now So we know that at residence over XY becomes equals to excel physical to one of our men because to end which gives us omega equals two one hour in front of Elsie. So this is the resonant frequency. So for XY less than accept. So we have Almeida consider them when they got acid you So we have and for X e better than excellent So we have a media rest in your wrist So in the second we have x Celica lt&#x27;s too siento en deal so we have comida less than mirror is for X e It calls to for fifty two home So this is the answer thirty one point six zero question That&#x27;s all for this question. Thank you Butt In the video

Donald Albin · Answer

Well, this is asking us about resonant frequency. And I know Omega zero, which is the resident angular frequency is a square root of one over l C. We&#x27;re told that our is 20 homes. L is 0.20 Henry, See is four times 10 to the negative 60 ferret. So, um, also Omega is two pi f sub zero. And so, uh, f is going to be 1/2 pi times the square root of one over l C. So let me put that in a calculator went over to pie times one the square root one over L, which is 10.0 is here to see which is four times 10 to the negative six. Power. Rounding that to two significant digits. It&#x27;s 1800 hurts be the impedance of the circuit is the square root of r squared plus omega l squared minus. No, I didn&#x27;t get that right. Sorry. Just at omega l minus one over whips one over Omega Psi squared. Now we do need to know Omega omega is just going to be one over square root of L. A. C or the square root of one over L C. So let me get that. Just have to take the two pi out of there. Give me 11,000 radiance per second. Okay. Square root of our squared 20 squared plus war. Um, Omega Times l 0.2 minus one over Omega. I&#x27;m C four times 10. Do the negative sixth power, and I often forget to square this. I&#x27;m going to square running. Here&#x27;s me. Exactly 20. That was. Oh, and obviously, um, at resonance. Um, the inductive reactions and capacitive reactant will are equal. So I didn&#x27;t even need to do this. The answer was going to be 20. Hey.

Zulfiqar Ali · Answer

well, resistance in the RNC circuit is 18 kill home. So our is equal to 18 kilo home and capacitance in the auto C circuit is 14 micro fear Odd. See, Is it equal to 14? Micro fair. Odd and inductions in the RLC circuit is 0.20 Henry. So l is equal to 0.20 Henry bullets, uh, do barred it. Well, impotence off the audience. The circuit is many mom at the resonance frequency, and we know that it resonance frequency is equal to one divided by Dubai Times route L C. And by substituting values, we get, uh, one divided by to buy into square root. Well, l is 0.20 and then we have, uh, good best ins with capacitance. He&#x27;s 14. Multiply by 10 to the power minus six and therefore F is equal to 95.1 heart. Right? So it&#x27;s equal to 95.1 Hearts? No, we do far be well a coincidence. Frequency inductive reactions is equal to capacitive reactions and impotence is that equals square root off our square Less x ah, minus x e all square. And now we substitute values well, eight XL is ableto xsi that equals, uh, rude are square and that is equal to our and therefore are equals 18 kill. Oh!

Problem

An $R L C$ circuit has a resistance $R=25 \Omega$…

Problem 84 Hard Difficulty

Figure $24-38$ shows the phasor diagram for an $R L C$ circuit in which the impedance is $337 \Omega$. (a) What is the resistance, $R$, in this circuit? (b) Is this circuit driven at a frequency that is greater than, less than, or equal to the resonance frequency of the circuit? Explain.

Answer

a) 2920 $\mathrm{hms}$
b) greater than

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a) 2920 $\mathrm{hms}$b) greater than

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Marshall S.

Farnaz M.

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The Electric Force

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a) 2920 $\mathrm{hms}$
b) greater than

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Physics