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2_An oscilloscope measures the voltuge acruss 4 part of circuit. Lanno directly measure the current by using an oscilloscope: However; we determine the phase the cu...

Question

2_An oscilloscope measures the voltuge acruss 4 part of circuit. Lanno directly measure the current by using an oscilloscope: However; we determine the phase the cutrent (Le;, MCEAc graph the oscilloscope that is proportional the current) by measuring the voltage across of the elements discussed in the previous question. element is Which and use your graphs explain why:3_AIl components in question are combined form the circuit shown at right: € = 0.100 pEL = 8.00 mH, R = 220.0 Q. IF the AC so

2_An oscilloscope measures the voltuge acruss 4 part of circuit. Lanno directly measure the current by using an oscilloscope: However; we determine the phase the cutrent (Le;, MCEAc graph the oscilloscope that is proportional the current) by measuring the voltage across of the elements discussed in the previous question. element is Which and use your graphs explain why: 3_AIl components in question are combined form the circuit shown at right: € = 0.100 pEL = 8.00 mH, R = 220.0 Q. IF the AC source creates sinusoidal signal with frequency 2.5 kHz, what the impedance for this circuit? RQQ For what angular frequency will the current be maximized? (Please note the difference between frequency and angular frequency:) What is the phase angle for this circuit (in radians) when the angular frequency the value chosen in (b)?



Answers

31.14. You have a $200-\Omega$ resistor, a $0.400-\mathrm{H}$ inductor, and a
$6.00-\mu \mathrm{F}$ capacitor. Suppose you take the resistor and inductor and
make a series circuit with a voltage source that has voltage amplitude 30.0 $\mathrm{V}$ and an angular frequency of 250 $\mathrm{rad} / \mathrm{s}$ . (a) What is the
impedance of the circuit? (b) What is the current amplitude? (c) What are the voltage amplitudes across the resistor and across the inductor? (d) What is the phase angle $\phi$ of the source voltage
with respect to the current? Does the source voltage lag or lead the
conrent? (e) Construct the phasor diagram.

Hello, friends. Here it is, given that conductor of the jester encompassed having governor 1 70 people. I don't want five microfiber it and eight million we are connected. In theory, across the is the source having very, very pretty but constant amplitude up bolted 25 ft in the party. We have to find dangling frequency at which impudence of the circuit is to be minimal. And second part, we have to calculate maximum courage for Omega, often at eight on DSI, as we have often omega in party find potential across the sister cap pistol and in doctor on at that distant Karen is I not by toe and in the part how the potato across the despair cap Mr An injector are related with source potential as operation see So let us start solving when Webvan Plus we are solving part it impudence off l tears that it can be to find it artist wet bolos omega minus upon upon or maybe got seahorse square for impudence will be minimal omega and minus one upon omega psi Must be, you know, because this quantity can not be less. Then do you know if it is less than you know, get really decrees. So amazing will be rooftop Ellen to see no substitute off in depends and cap it spins toe find the frequency and it's given eight million. Henry, that is eight in tow. 10 to the power My industry gap Crispin's is given well while fight micro parrot on solving it. This battle will be 300 16 Tito really in particular. So this is the answer off part A one until we have built in part eight, that is angler difficulty advantage Dead Billy. Minimum on Be remembered. Wolf impudence. Believe equal to our That is 1 75. 0, so this is not taken under off part eight now in part meat, we have to calculate. And did you doctorate? What impudence, Toby! Minimum ice car tow. I know it's going to be not upon Jackie minimum be not. It is given 25 would upon 1 75. So it's having them read you up 0.143 ampere. So this is the onset off. Be part No. We have to solve the sea part Since he bark cutting is given, I cross off me Gatti And that is I not by two. So course off we got he's got to have. So maybe you will get extremely are by way to the human, right? So But in a circuit we not also may God people fight here by it. Xel minus XY upon our So for this party, it is zero. So the question off days we can write These are toe 25. Why do you know? Boat course up or me? Gatti? And when we got to be adopted, this value I'm underlining for upon difference. So cross up. Why did he? So that means well when my boat across from history ardent Dwight 1 75. And this is I not by two on I notice I went 143 divided by two. So this will be, well, fine by boat. So you will get potentially processor register. No, but until it across gap Precipitous. If this receipt also when we got the minus 90 we see it I into exit What? So or we got B minus 90? I is quite 143 up one door And may God see my guys. 31 Just a moment. Well, maybe I give it 17 it Just a moment, please. Do you want sexto? What's up? Omega is Oh my God. He's 90 already. Be a popped in. So from here we will get or until across campus Ter Toby. But let's she 0.13 Bold. No, but until across inducted Beacon, right, I into exit course up me God, people last 90 this value is given 0.143 Excellent for me. Are we going to do it on frequency V about it? 3162 Induct men's is given eight million ending course on the Got TVM, often 60 on solving it potentially cross in. Doctor, you will get minus dream. I want 13 would. So all these are the three under for party in part D. We have a very fight. The are less bl less busy. We are the off 12 point fight be it minus 3.13 and across campus ter 3.13 it will be 12.5, which is equal to source potential. So it gets very fight. Thanks for watching it

Welcome to the problem. Number thirty one point away. This it's, um thirty one are generating current. So in discussion, we have a LCR circuit. So this is our assistance. This is our contestants, and this is our conductor, and this is being connected through NSC source and these are the perimeters given toe caution. So these are the paramount as nature of the circuit. So even so, we will use this information to find out older parts of this question. So this caution has deep part in four parts, so a B city. So we will go one by one to find out the answers. So let's stood apart. A So first we have the impudence, which is jet which is dependent on this factor. So we need to find out which condition which makes the jet minimum, so that it is minimum when XY is a coast too. Except which is that hasn't earned condition or resonant frequency. So we have X equals to excel, which means normalizing because to one hour under Elsie. So in this condition, we will have Jeb minimal. So looking at this one, definitely. So these are This is a number which is a question number. This is also a potion number. So both ad. That means we have good. This one This one cannot be negative, Jiro. And this one can be Jill on ly if you don't leave accessing constructive. And that makes this condition. So we judges Meaning when x see constriction. So we have a mai guy calls too one over on golf And which is it intended to? Minus three hundred using this value here and sees over twelve point five intended to minus six. So this comes out to be three one, six, two radiant bicycle. So we have very close to our which is of course, to one seventy five. And Omega is a coast too. Three one sixty two Radiant classic. Now we go to the people so way you need to find out the current temperature. So which is it cost? I calls to the origin So we have very close to one seventy five. So we have one, two, five what? One seventy five Because two point one for three MPs. Now you go to the sea power. So we have I closed to I cause Omega T which is equals to iron over two. So this is the condition given. So we have a cause Omega T cause to have. So we need to find out the time, which is So we have omega t calls too, by our three. Because this is the only conditions satisfy, we hear. So we have this one omega so we can find our key here. So take himself to be bio three times three one sixteen. So this was gives us the time at rich. The couldn't has half and pitch it well. Don't current. So this is seconds. All right, so we're done with the party, but we have to find more information. So we have now vehicles, too. V cause Omega T plus five. So we have den fi, which is a cause to accept minus the accent or minus. Or was I So this comes out to be Julia, because exes over accent. So using this condition here, So this comes on the radio. That means fight is a course of Jiro. So therefore, raise a cause to be coarse Omega team. So using the same values here. So this comes off twenty five James one or two. So this gives us a twelve point five words. Now we need to find out the world across the resistance are which is we are So this is our eye. It is a cost one seventy five and I's over Iowa too, which is the current attitude. So we have because to one seventy five or what to current temperature is over point one four three. So this comes out to be to end point five work now coming to the BC So this is the see So this is the instantaneous and this is the amplitude. So we have because Omega T minus ninety since ninety's the faith difference between them assistance world age and capacitance Worded. So we have I xy cause Omega T minus ninety. So, putting all these value hears we have find one for three and X is over one of our omega psi, which is three one six two tangs twelve point five microfiber into Sanderson minus six. Forty. James Ko's sixty minus ninety. So this gives us a cost. You three point one three words. So this is the instantaneous voltage across the capacitance. Oh, no, we go to the next step. So we have Ian. It is because two world amplitude cross and get there. So we have cause Oh, my God. T plus nineteen. So this is the face difference between the world. It across the inducted with respect to the water across the assistant and the face differences. Ninety. So we have i x goes omega t lost ninety supporting all these. Well, okay, so this concert minus three point one. What? So we're done with the parson Now? We go to the party, so we hav e l plus. We are plus we C, which is a costume twelve point five plus three point one three minus two point one three. Witches comes out of the twelve point fife and which is the source warded at the time. So that's your answer for this question. Thank you for watching the video.

In the first part of this problem, we are going to identify the element connected with the sea are all the graph indicates that we calls 208 equals to zero and we becomes 25 fold on when the t becomes were in large In this case, voltages in fact, with the current. So the Sierra is connected across the resistor. But be of this problem, we're going to calculate the indignance and terminal resistance off the injector that is Helland rt. It is the terminal resistance off the injector. As one he goes to infinity, the world is becomes 25 ft. This shows that no all day drops across the injector. Therefore, it is internal instance must to be zero. So we claimed that this rt should be equals Tau zero. Now, in order to calculate this in the Chancellor's right there waiting for the voltage at any time as a musicals toe the note in tow one minus Here is part minus teed You wanted by toe From here we can write it T is equals to tall. This question can be written as a we use equals two we not and here we can ride toe one minus. It is power minus one. Well, we know that 21 we is a brooks Well equals two 0.63 We're not. Then I think at that case, I think we will be equals two 16 World AT T is equals to 0.5. Multiple bitterness, par minus three seconds. And we know that this 30 and two are equal so we can write. This tau is equals to 0.5 Multiple elevator is par minus three seconds. When we look at this, it always equals two. Uhh! Hell divided by our so we can write anybody by our which is equals to tower is equals to 0.5 multiply waiters par minus three seconds. From here, we can white value for l s l is equals to 0.5. Multi collaboration is bar minus three seconds. And to our which is equals to 120 50 omega. So this one you are the value for this l s l s equals two single point 075 Henry in part C off this problem. We're going to applaud the voltage in time. Rough. So this is the graph between voltage and time. And why? Since we have voltage and and X X is we have time and off the question. Thank you.

Welcome to the problem. Number 31.14 This is some 41 alternating current. So in this question, were given some values of their assistance conductance and capacitance and the A C source. Voltage having voltage, ambulatory, constant evil and having angular frequency constitute 2 57 per second. But in the second, we are not using the capacity. We are using only two components which are resistance and independence. So we have resistance. And in the not to Yeah, this is our A C source. So this is our circuit. We have no capacity, even the capacitance values given. But we are not using the capacity in this circuit. Mm hmm. Mhm. So if we look at this diagram so we have for general LCR circuit, this is the very important. So in this case, we have no capacity. That means so this would change to Z equals two and the root of our square plus x l square. In this question, we have a B c d e part. So we will go one by one and solve it. So in this first case, So we have to find out the excel which is equal to omega l. So Omega is over 2 50 times L, which is 0.4. So this gives us a close to actually close to 100. And okay, so we know the excel and we know the art so we can find a jet. So that is the square. Golf are square and which is our square is 200 square plus XL square, which is 100. Um, so this comes out to be 2 to 4. So this is the impudence of the circuit. Alright, Now we go to the part B. So we need to find out the current amplitude, which is the I equals two vo Wizard waters Amplitude World. Example. Hood is our 30 world over impedance, which is 2 to 4, which will just find out in part a. So this gives us equals 2.134 MPs. So this is the current temperature killed passing through the city. Now we go to the C part. We need to find out the voltage and procure across the resistance. So we have We are the world computer. Use the cost to I R. So we have 0.134 times 200 this is Ambien. So this gives us a closer 26 point eight world. Now we're going to the next step of this part, so we need to find out the wheel, which is I X l, which is 0.134 times 100 homes, which is 13.4 rolls. Now we go to the deep part, so we need to find out the face factor, which is for the phase angle, which is stand fire close to X l minus X e. We have no access. So we have excel over our. So this gives us 100 over 200. This gives us 0.5, so fire comes out to be 20 6.6 degrees. So in this case, we have five is a positive number or the positive degree. So we have source voltage needs the current. Now we need to promote the phase diagram diagram, and we can show this one wide source water list the current. So we have the phase diagram has followed. So let's draw it. So if we talk about that assistance, so let's say we have we can just take any value. I mean, along any side, so let's say if we take across this one. So this is our face with respect to the for assistance. So we have We are And this is the current passing. So we have I and well, which is the world is across the and Dr So if you look at this one So viel is our post value so that once we have really come to this one, the defense between we are angle and we are face factor and the real face represented degree. So finally we have amplitude, which is the final amplitude, which is the V across this one. So we have this much angle, which is the fire difference. So looking at this one, so definitely fi is positive. So this is our phase diagram if we want to draw exactly equal to the the diagram. So this should be exactly this way Not? Yeah, So let me grab this one. Yeah, so this will be the prophet diagram. So this is why we are so this is showing via And this is showing the V value and this is showing the real value. So that's your answer for this Caution. Thank you for watching the video


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