A.C. Circuits : Phasors, Impedance, Fourier Transform, and how Inductors and Capacitors work
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- Опубліковано 7 чер 2024
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0:00 Introduction
1:12 The complex exponential function and sinusoids
3:24 Phasors
4:46 Addition and subtracting phasors of the same frequency
5:15 Addition and subtracting phasors of different frequencies
5:40 Fourier Transform as a sum of phasors
6:02 Approximating rectangular function as a sum of phasors
6:20 Frequency domain
7:18 differentiation and integration of phasors
7:30 resistors
8:07 inductors
8:43 capacitors
9:18 impedance
10:55 How capacitors conduct current
13:47 why voltage and current of the capacitor are 90 degrees out of phase
14:26 the response of a sinusoide is also a s inusoide
15:24 decomposing the step input signal into sinusoide (getting the frequency spectrum of the signal)
16:12 getting the response of the circuit to each sinusoid contained in the input signal then adding all of them
I'm in tears at the sheer beauty of this animation. The fact my years of education is allowing me to understand what he's saying effortlessly makes me grateful to life in every way possible.
Thanks for the precious tutorial. It's the reasons UA-cam still is on top having such helpful content makers.
For years I’ve tried to demonstrate to my peers how a photon “travels” through multiple axis and my friends couldn’t grasp my vision (maybe my explanation was rubbish) now I can show them!
Your animations get better with every video. Nice work.
This is an excellent series of videos, I am really glad your channel is starting to get the attention that it deserves.
What great video’s! I wish they had been around in the 70’s when I was in school studying electrical engineering it would have made things much easier to comprehend.
This is absolutely brilliant, thank you so much.
Wow, never seen such a good animaion about imaginary part.
This video is a gem. Thank you for making my concepts clearer.
Very interesting video. I studied all this years ago but we didn’t have such interesting presentations back in those days it was just math. These videos help in the understanding of this topic. Great job!
thank you very much, it makes it much easier to understand when your presentation is so well put together
Basically the same plot but viwed from different points. This is what they teach you in electrical engineering
Wonderful video! Thank you so much!
Great videos, please do more videos like this to help some learners to visualize math. I really appreciate your videos.
Absolutely brilliant content, concepts and animations.
Excellent animations and story behind! Thank you for sharing source code
Extraordinaire...super pédagogique...
Superb video, it's very easy to understand concept using such animation. Thank you very much for making such explanatory video.
You're absolutely insane!! Great content, thank you.
Very well explained by the animations! Well done!
Great video and explanation! One more subscriber! Thank you!
Very very good video.. Cool animation. Keep up the great work..
Bro HOW YOU ONLY HAVE 2K SUBS!!!
This is great content thank you so much and please keep going
Thank you for this video!
great video! Thank you!
Thanks for great explanation, especially the Fourier animation ❤️
Very cool video, just subscribed. Love the multi-axis animations.
Thanks
Brilliant animations.
thank you very much 🥰😍🤩. that's was simple. excellent explanation.
Excelent to understand the complex numbers which we calculated without a concrete purpose
Great work
HOW DOES THIS CHANNEL NOT HAVE A MILLION SUBS
They move triple S because of three D. Numbers swing. Resistance of numbers is increase or decrease. Projection on planes is what we call curves. Though they never move. A wrap around of negative infinity to positive infinity. Because they project they have other values.
Well explained. 👍
Great channel bro keep it up
tnx for very nice explanation and excellent representation
Great video
Nice animation. Great job!
2:08 imagine the wave that would trace the square on the lower right graph (instead of circle), now imagine that trace in 3D in upper right graph, now look at it from the side to get the graphs on the left, that wave represented on either of the left graphs upper or lower should trace the line like it is going up and down at certain speed and then pausing at the top and the bottom of the amplitude in order to make the square traced on the lower right graph.
Given your wave is tracing circle similar should apply, wave should speed up in the middle of the amplitude and slow down at the top and bottom portion of the graphs on the left because if we take the example of the lower left graph compared to the lower right graph we have wave tracing the line up and down in the left graph but looking at the right circular graph wave is tracing the circle so in the middle portion of the wave majority of the motion is done in the imaginary axis but at the top and bottom portion of the circle majority of the motion is made in the real axis which we do not see in the graph on the lower left so it should be represented as slowing down of the motion in imaginary axis which is what is represented in the circular graph.
Why is this not represented here and on the bunch of other places if this representation is correct than try to sync the speed of the circular (ones on the right) and sinusoidal (ones on the left) graphs?
I am not that smart to say what does this mean, I am just observing that there is something wrong with this representation and that these left and right graphs cannot be synchronized to trace the wave at the same and constant speed so that the point which is tracing this wave always shows the same value of the imaginary and real axis a in same time on all 4 graphs, so please explain it to me if I am the only one seeing this, and if I am not the only one why no one of you did not ask this before?
I dont know did I explain well what is I am asking, but I hope I did and someone would understand, one more way to ask is if we look at the bottom right circular graph and observe the point which is tracing the circle, look at it in bottom portion of the circle - when it is close to imaginary axis - when that point moves one unit left and right from this axis it is moving mostly plus or minus measured on real axis and stays pretty close to minimum of the imaginary axis. But in the same time looking at the graph at the lower left, point tracing the wave moves at the constant speed, so it seems like it is moving more on the imaginary axis than it should compared to the circle at the right. And these two graphs should agree with each other because they are representing the same thing.
If we say that the point on the circular graph at the right is at the time 0 positioned at the 0 on the real axis, and at the position -4 on the imaginary axis, then that point at the time +1 is positioned at the -1 on the real axis and -3.9 at the imaginary axis, but at that same time +1 looking at the sinusoidal graph on the lower left this point is not there, it is already at the -3 position on the imaginary axis ?
Thank you it helped me a lot.
Good to be informed.
SO GOOD!
its really nice
You're going absolutely to save my ass in my AC class rn lol
animations are so good!
Amazing manim skills
Goddamn I would've loved to have this video while in school. Awesome stuff man!
Very interesting
One of the coolest shit i ever seen
tyvm
Very beautiful sweet sir Tq so much ji
Please, mention the softwear you are using to do the simulation. I will really appreciate your effort.
This is infinitely better than text books
Thank u sir
I like the animations comparations 2D Vs 3D reminds me XOR divition by a perceptron in IA stoped by 10 years bc couldnt find a solution wich was 2 neurons instead of just one to divite a XOR
Yes
DUDE this is something i meen not to compar and all but you could be the 3 blue 1 brown of electrical engineering . im serious !!!!!
Definitely, I wouldn’t be surprised if he was inspired by him but one thing is for sure, this man knows how to breakdown the complexities of these topics
I don't get any of this. I think I'll stick to software engineering
can you do a video like this explaining how electricity travels trough wires
I am just trying to stay abreast of current issues.
Can you tell about finding different frequencies by fft and then allocate these signals for eeg in matlab😀
Top
this is was the internet was designed for
Does the 90° phase shift created by the capacitor imply that the capacitor is always "charged enough" to have an equal voltage to that of the source?
How did you make 3 different graphs at the same time on the screen. Did you do that in manim itself, or in a video editor. If you did that in manim itself, then did you use multicamera..? How did you do that.?
in a video editor
Went from 0-100 real quick
Nice work - It's worth mentioning though that the complex representation should come with a complex conjugate so that I, V etc. remains real-valued. Leaving the conjugate term implicit is fine for linear circuits, but can create confusion when it comes to nonlinear interactions e.g. mixing or power dissipation if the conjugate term is inadvertently omitted.
I think I talked about that in my laplace transform video
I wish I understood what this means.
@@stargazer7644 Well I can try to explain it in simpler terms - basically it means we need to pair up our complex exponents in the form exp(i*x) + exp(-i*x) - this retains the algebraic simplicity of using complex exponents, while keeping the function real-valued. If we then try to compute e.g. the power through a resistor using V^2/R, we get both the DC and 2nd harmonic terms as we should. Without our conjugate pair however, we don't get the correct result.
@@Camptonweatfunny thing is you take for granted that this guy had sophomore stem level knowledge of physics, algebra, electronics etc, while he probably meant he understood none of the words and the huge material of implications that exist behind each one 😂
best
This is so slap
How do you make those??
a/c power transmission is no longer the most efficient (not necessarily). just check the power transmission being used across the Mediterranean.
Great job! Does anybody know how to make this type of animations? The software?
Look into the software library 3blue1brown has written. Manim I think it is called.
@@stargazer7644 thank you so much!
Please be a bit more consistent in uploading Videos your content is 🔥🔥.
Very interesting video and very clear. I have only a question. I think 1 MHz, which is the source frequency in the RC example, does not match the 90 phase shift frequency in the Bode diagram. In fact, the right frequency is not 1/RC,which is the pulasation, but 1/(2*pi*RC) which Is the right frequency when the two waves are 90 degrees out of phase. Tell me if I'm wrong😅. For the rest, very interesting video and very clear at all👏🏻👏🏻👏🏻
can you specify the exact point in the video you are talking about?
@@TheSiGuyEN from 12.24 the example of alternating signal in RC circuit
I didn't say that the source and the cap voltages are 90 degrees out of phase. I said that the voltage across the capacitor lags the current flowing in the circuit by 90 degrees. and that what happens at any frequency there's nothing special about 1MHz, the capacitor forces the current to lead the voltage across it by 90 degrees. and yes you are right, 1MHz isn't the 3dB frequency. But the 3dB frequency (1/(2pi*rc)) is the frequency at which the input voltage and the output voltage (the voltage across the cap) are 45 degrees out of phase not 90.
thank you :) if you have any questions or suggestions please let me know here or in our Reddit community.
and can you tell dft dtft difference
nice new video ideas
What program is being used for these visualizations, and can I download it for free?
Manim from 3blue1brown
Can you talk about Power too?
in my checklist already
Here we go ua-cam.com/video/W6qBkWCAMQY/v-deo.html
This was all covered at College with subjects past with straight `A`s. Here on sits now and stares at an excellent presentation like a babe in the woods. 😵💫
What is happening to one's intelligence? 😧
The "War of the Currents" was between Thomas Edison and George Westinghouse. Tesla had no part in it; in fact, Tesla admired Edison and spoke highly of him.
What are you even talking about dude?? Tesla used to work for Edison and due to Edison not paying him and not giving him credit for some of the patents that he helped Edison with he left his company and then later joined George Westinghouse. The Westinghouse polyphase AC system is based directly on the AC induction motor which Tesla was awarded a patent for. To say he admired Edison is a stretch to say the least.
@@BharatkaEkBeta royal Edison fanboys and royal bloodline are trying some how hard to reverse the defame done to edison for his evil attitude.... He deserve it but they don't want their master to get disrespected by people after knowing the truth... So they are trying to build back the respect by altering history...
They are now trying to mock Tesla too..
The Edison is known for stealing patents from other inventors, and was sued several times for that. He likely contributed to the murder and disappearance of the witnesses in those trials. It is safe to say, that he was a shrewd businessman, and likely hadn't invented anything substantial by himself at all. Perfect american.
Stfu dumbf. Tesla was a monumental figure in the war of currents. Without him Westinghouse has no one to invest in.
@@BharatkaEkBeta Nope. Check your sources.
O how I hated this "Si" 🤪
This doesn't explain anything, you're just bragging about it