This video discusses how we analyze RLC circuits by way of second order differential equations. I discuss both parallel and series RLC configurations, looking primarily at Natural Response, but also touching on Step Response.
I'm not sure if this is a joke, but he isn't writing backwards. In the original video, the writing would appear backwards for the camera and forwards for him, and then it is mirrored in editing. Notice that his UC Davis polo is backwards, and that he is writing with his left arm (he uses his right arm in previous videos with a whiteboard). Of course, he may still be a genius for explaining the material so clearly! :)
Thank you, Dr. Montgomery! This RLC explanation is, by far, the clearest and most concise I have ever seen/heard. I have been struggling with this topic quite a bit this semester, but I now feel much more confident moving forward thanks to your work. Thank you again, sir!
WoW. I've spent weeks trying to understand this but I couldn't and with less than 40 minutes now I can have confidence to write my exams. Thanks so much!! Subscribed
There's so many comments like this on youtube, but I have to make a statement. Thank you so much for everything about this video. You are a wonderful person for making this contribution to society. My college is unequipped to teach circuits, but they have to offer the class. The teacher is not great, there aren't any tutoring services available, and if I fail to learn this material I will not be able to transfer to university next semester. So much is riding on understanding this. The stress is unbearable. This video is honestly helping me out of a very dark place right now. Thank you.
Mack Lack Thing is, in India, the calculus involved in Physics are always a year ahead of the calculus they teach in math, which involves diluting and overcomplicating one small part of math every year instead of moving forward to another topic. Good thing I learnt upto Fourier and Laplace transforms before I joined college since I was so crazy about Physics and Calculus back then.
Thank you Dr. Montgomery, textbooks are great when you remember the pre-reqs. Unfortunately I forgot all of that and having a walkthrough of the differential equations part was a great help. Cheers!
I saw couple of videos on youtube about this RLC topic but i can guaranteed that you are the best.I don.t need to go college to learn this anymore thanks to this videos thank you
+Dr. Montgomery With the way education is going, it is just a matter of time before amazon ed opens up. Many institutions are setting themselves up to being the next blockbuster. At least in regards to many bachelors programs. When you go to fully online programs where lessons, homework, and test are delivered without direct manual instruction; yet the content delivery severely lags open source content. I can see the appeal for an instructor, but the writing is on the wall. It is just a matter of time before the accreditation system shifts to reflect the inefficiencies of today secondary education system. This, however, will play less of a role in the hands on, technical fields that are largely underemphasized. Welcome to the world of tomorrow.
+TheFootbaldd Yeah...I'm not so sure. Fully online instruction may work for some students (those who are more self-motivated), but I think many students still need the more-personal, in the flesh, kind of experience. Look at MOOCs (massive open online courses)...their completion rates are terrible, because, as with many things in life, many of get a burst of motivation, but then move onto other things we become more interested in. Plus, sitting at home watching someone go through endless PowerPoint slides can be near some form of "cruel and unusual punishment." The other side of this is that, like it or not, many employers do still care about where you get your degree from. At least those in the engineering disciplines.
I certainly agree that brick and mortar classes in involved degrees are beneficial, but coming back to school I have found many of the programs have been offloaded to the ether. I am a strong supporter of traditional education, and free response evaluation. The program I am in now has gone the way of electronic means, and if I had known that before starting, I wouldn't have gone there. My point being that when you eliminate the classroom in essence, and others follow suit, institutions are ensuring their own demise as they cannot compete with more efficient and much cheaper alternatives. The limiting factor there is accreditation. When you turn instructors into forum moderators, you will find that there are companies much more experienced, who can eliminate the massive overhead experienced. The value of the institution is lost, and there are others who can provide better services for a fraction of the cost. That is not even mentioning the freely available content, such as the excellent videos you are producing.
I totally agree, spending the better part of 12 hours a day, by myself, on a laptop is excruciatingly dull. It is debatably worse than logging tac hours for Rickover; however, when schools take precedence to extracurriculars over a reasonable decade old gpa (3.2) and the experience of controlling a tin can with a hot rock around the world, your options are limited when trying to get a piece of paper.
excellent lecture. Our professor uses this method for this chapter which is different from the textbook's method. I've been searching for a lecture like this for a long time.
Your videos are awesome!!, there very well done and detailed. Theve answered a lot of my questions. Do you think you could do some Laplace transform with RLC circuits videos in the future.
If you got lost at 13:12, he skipped finding dv/dt and d2v/dt2 which puts Ase^(st) in each term then multiply both sides by 1/Ase^(st) which leaves just s^2 +s/(RC) +1/(LC)=0
Great video! Explained very concisely and the visuals helped a lot. Only bit of feedback I would offer is giving a worked example with a more complicated circuit that needs to be reduced to series/ parallel form - maybe save that for another video.
it would be nice to have a version of this using the symbolic method. No more differential equations, just complex algebraic, which is arguably way easier and faster to handle
As you found the characteristic equation of parallel and series circuit. If there are more than 1 R, C, and L how are you gonna write the characteristic equation? Thanks
33:15 Why are you doing the KCL in terms of the derivative of current ? is not C(dv/dt) for capacitor current and 1/L integral of v dt for inductors current?
Hi Dr. Montgomery, Are you sure it is v(t)=D1*t*exp(-alpha*t)+D2*exp(-alpha*t)? instead of "-alpha" is the solution of the characteristics equation? being v(t)=D1*t*exp(s*t)+D2*exp(s*t). Thanks!
Great video sir. Besides the homogenous portion of the basic bandpass and rejection filters, this got me thinking about some of the higher level analog filter networks. Having just touched the surface in applied audio DSP systems I find it amazing how they were able to design the abstraction that can emulate virtually every filter combination with high level graphical interfaces. Are you familiar with the bi-quadratics that model filters in DSP? It seems like prior PFM (acronym for pure... magic) is beginning to really make sense. Keep it up, being back in school, I find that more then a few of my instructors are severely lacking in delivery, if at all.
+TheFootbaldd Howdy...I'm not too familiar with DSP systems, as circuits is not really my specialty (as for my research). But, I'm glad to hear some pieces are starting to come together for you. I appreciate the feedback on delivery...as you can probably surmise, I was a student not long ago myself, so I have tried to take all the bad examples I saw...and do the opposite!
Good to hear, I've been a student in different manners for the better part of a decade for what it is worth; but most of my research is on my own volition in regards to applied projects for the fun of it. With the digital signal processing systems that I am familiar with, you can directly enter what they call bi-quadratic functions. These functions can emulate everything from first order filters, to notch filters, to butter-worth filters... etc, and they also allow you to overlay filters. I haven't had the time lately to really delve into it, but I am starting to assume that the functions are merely the coefficients for differential equations. I have also been playing with building transmission line acoustic enclosures, and a lot of the modeling uses electrical reactive circuits. Anyways thanks for the reply and I hope you keep it up. I believe it was Einstein that said, if you can't explain something to a child, then you don't understand it. Much of learning is the ability to effectively communicate.
You have the best videos in the transient analysis I've seen but it seems that you stopped making videos since almost a year ago, I hope everything is ok and you make more soon.
+Jorge Rocha Hi Jorge...yes I am doing well, but no longer teaching at UC Davis. I am teaching part-time at the University of New Mexico, but teaching solar cells now! Perhaps one day I'll get around to making some solar cell related videos.
i really don't understand how he got those roots for the characteristic equations, i tried deriving them myself and could not get it no matter how many times i tried
Near the start, you added the term Io in case of an initial current through the inductor. Why didn't you add the term Vo in case of an initial voltage across the capacitor? THANKS FOR THE GREAT VIDEO!
If you look at the series case, he did add the V0 term. In the first case, you do not need to add V0 because you are dealing with currents through the elements while deriving the final equation, not the voltage across them.
Can someone explain how he got the first term of the critically damped circuit's solution at 28:16 please? AFAIK, when there's only one root to the characteristic equation, there should only be a single term in the solution
Rex Galilae the root is repeated twice and to have 2 unique solutions one must be linearly independent of the other which is why there is a t attached to it
HI I noticed that in natural response it was d^2v/dt^2 + 1/rc dv/dt +1/lc=0 when you add a I source to the same cct it became d^2i/dt^2+...... do i have to situations or you did by mistake thank it was very helpful
This video was very helpful. I appreciate the explanation. I was slightly annoyed by the squeaky noise of the marker but nonetheless, I understand the material so I cant complain.
Can someone explain to me how is the camera set up? I know it's impractical to learn how to write Mirrored words (left to right). What camera trick is this?
+PussyGalore Magic....just pure black magic. Actually, it's a pretty basic set up. I'm standing on one side of the glass, camera is facing me from the other side. The raw video is actually backwards, so we just mirror the video in editing software, which gives the impression that I must be writing backwards!
+Dr. Montgomery ... Before I read the comments, I thought you WERE writing backwards and making it look easy. Now I see that "UC DAVIS" is backwards on your shirt. Nice overview lesson, thank you!
I am in the middle of the video (1st viewing), and have paused to try to justify EXACTLY what you are asking...I will now work out that quadratic and try to justify what he has written up to 17:00 ... If I find out what is going on, I will post back here.
OK, he just multiplied the denominator by 1/2 instead of dividing by 2. Under the radical, all was multiplied by 1/4 (which is the square of 1/2) and cancelled the constants. I think he wanted the 1/LC to stand out. sqrt(1/LC) = frequency.
I wish he'd have focus on each (parallel and series) circuit independently. For we students, it's hard enough to follow without the double-dutch teaching crap this video exhibits.
I have a degree in electronics and years of experience with it. This stuff is of none real world use because other than simple power supply circuits or supply circuit choking or filtering it’s of little practice use usually. Say complex ac circuit analysis for some potential real world use. It needs an alternating current usage to be useful and that’s still a lot more complex than this boastful calculus confusion. Inductors and capacitors have little practice usage for this talk, but it’s good warmup for further “stuff”. It sure is interesting calculus implementation and other stuff but why bother with this stuff when it’s hardly real world in application. You torture your student with this.
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I feel so cheated when the instructor skips steps and doesn't do the math. I guess by some miracle we're to understand how to resolve it. You forced me to go and check out some other video about rlc circuits to really understand what's going on. Why don't you just write the question and the answer and never mind the math at all, save yourself some time and pretend you can teach.
@@ThePhDEngineer I see you're just as lazy with your answers, two words, I'm frozen in shock! Is someone trying too hard to be witty? God forbid that you ever become interesting in some way and let me remind you tutoring on RU-vid is one way conversation.
@@lillyzegarra8025 Ha! Yes, I am soooo witty...and also do not really care. I just got bored and started going through comments that are super old...I made these videos for a class I taught 7 years ago. Not for you. There are MUCH better videos available on this topic. I am glad you found those and figured out whatever problems you were struggling with 3 years ago when you left a comment!
@@ThePhDEngineer I believe you when say: "I do not really care!" Your videos clearly reflect it and leaves no doubt about it, but for someone who will use the prefix Dr. in his name, you don't appear to be a man that is cultivated and learned or the type of guy that intersects with culture, generally. I hope I'm wrong!
