Why do we use complex numbers in circuit analysis? | What is Impedance? | What are Phasor Diagrams?

The video addresses one of the most overlooked questions in EE; Why do we use complex numbers for analysing AC circuits? The video explains one of the most revolutionary techniques in circuit analysis that enables us to deal with sinusoids effortlessly.
Course on AC Analysis: www.coursera.org/learn/linear... (Not Sponsored)
MIT 6.002 Circuits and Electronics: • Lec 1 | MIT 6.002 Circ... (Specifically Lectures 16 and 17 covers these topics in much more detail)
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Animations were coded with a python library:
github.com/3b1b/manim
Created by Grant Sanderson:
www.3blue1brown.com/
/ @3blue1brown

[@hugojj101]

Thanks for sharing man, It's hard finding good Uni level videos sometimes. This was perfect. Loads of students find it hard to understand why we use Eulers, but your diagram summed it up so well.

[@academiadaeletricidade]

After 20y of electrical engineer I visualize the meaning of impedance model!! Now I’ll study more about it!! Really thanks!!

[@TheRookieNerds]

Thanks :) Glad I could help

[@mr.smitdineshbhaiboraniya8288]

I can't describe how much helpful this video is for me right now. I was stuck on a project and trying to understand analogy between dynamical systems like electrical circuits and mechanical and acoustical systems. This video basically summarizes all the learning required for me. Thank you very much sir.

[@lucamattioni7690]

Thank you so much for this Clear explanafion: I' been struggling a lot in the past to grasp why there was the need for complex numbers and you hava described it in a neat and tidy way. Thanks a lot!

[@adastra123]

Thank you so much. None of the other videos go through it so thoroughly . Sometimes, the obvious is not visible to me, but you made me see with a much broader perspective. I never knew that the purpose of multiplying by euler is to get both the current and voltage as measurable properties. If you were in Ireland 🇮🇪 I would buy you the finest midleton rare whiskey . Thank you so much and may you and your family be loved and enjoy good health.

[@TheRookieNerds]

Thanks a lot for your kind words, glad it helped.

[@simon-x]

Wow mate this video is just brilliant!! Im currently in my first semester of computer engineering and about to take an exam on AC circuit analysis. Im struggling a bit with all of this information but your video has just helped me to get so much clearer of a piture of all of this, so thanks mate!!!

[@gdhinesh7748]

Awesome content bro🔥 More than that, the sequence with which you explained was impressive and makes it more interesting... Keep going 😎

[@titouan3702]

Before this video I didn't understand anything about the reasons we use complexe number in this field. You've made it extremely clear . It's Wild. Everything is perfect in this video. Thank you from France 🇫🇷.. You're very very talented

[@TheRookieNerds]

Thank you for your kind words, glad I could help

[@rodrigocalixto470]

Extremely well explained :) Awesome graphics too!

[@arnaudguela631]

This explanation is very well structured and logical. Keep up the good work ma guy!

[@abbask56]

Thank you. This is how a nerd should see the science

[@briantarrant4907]

With this video, you've made something really, really great

[@garethxue8938]

Good effort. While the answer is not complete. Say frequency w=0, the output Vc should be an exponential shape. The answer does not cover this. It's better to show expression of phi.

[@samuealraj4427]

Amazing content.. Way to go bro!!

[@manishgarg390]

Fantastic content please make more videos on these complex topics

[@bmacdoug]

Beautifully done.

[@abdomohamed4962]

this channel is sooo underrated

[@TheRookieNerds]

Thanks a lot :)

[@alinakobru6721]

Hi, thanks for sharing except I have a question how did you integrate the homogenous solution at 2:30 ?

[@joswarbellidorosas3956]

Awesome explanation!!

[@MegawattKS]

Excellent animations !

[@shantanukumar7174]

Great content my friend, so epegantly explained

[@vasanthnatarajan4834]

Very nice work ❤️

[@a.nelprober4971]

Exceptionally well put together video.

[@a.nelprober4971]

Mistake at 6:19 forgot a j. Made me so confuse

[@isaigordeev]

And you could generalize, adding solenoid (viscosity friction) to the circuit

[@sainarasimma6465]

Great work 🔥

[@alisharifian535]

So using complex numbers instead of ordinary trigonometry was just a matter of convenience.i was always wondering why something that can be written in trigonometry and algebra uses phasor vectors and imaginary numbers.

[@sachi4153]

Really great job brother

[@shivanshtripathi986]

Really Awesome 👏

[@aviral1337]

Great video!

[@gomathisankarr1768]

Good job bro.... Continue the good work..)

[@MMNayem-dq4kd]

Great job bro.

[@mibrahim4245]

you are so smart .. I saved this video on the list to watch many times until I digest its contents.. p.s: I'm an electrical engineer

[@TheRookieNerds]

Thank you :)

[@balajimundhe6102]

is it related to Fourier transform ?

[@wangyuwin]

good stuff

[@RAHUDAS]

The why part is not clear yet

[@ThePhysicsTrain]

Great video man.. Keep up the good work. Also, could you please share the code.

[@TheRookieNerds]

Thank you very much. Sure, I've kinda messed up my GitHub a bit, I'll upload once I've rectified it

[@isaigordeev]

Great, but usually R is denoted just as rectangular, not a 2d spring

[@TheRookieNerds]

Yeah I could've, but I decided make it specific to EE so making resistor a box would've confused people when I showed them the impedance box

[@bartolomiuschristoffel8108]

Are you use manim to make this video?

[@TheRookieNerds]

Yeah

[@alfaalberto1]

What happened with the other videos?

[@TheRookieNerds]

Which ones?

[@alfaalberto1]

You mention the “phaser diagram of a circuit in the next video” but it does not appear in the watchlist or in the “principal list”, and in the “Analog Circuit Fundamentals” watchlist you mention other videos but only have two since two years-before, they are really helpful so if you have more I can not locate them, or these are available under a subscription?, I do not know, that is why my question.😅

[@TheRookieNerds]

Thanks a lot, glad you find them useful. Yeah as you see it's been 2 years 😂. I graduated and changed streams in this period, hence the break. I'm thinking of continuing it now, will ping if I do :)

[@alfaalberto1]

@@TheRookieNerds thank you so much, I will be pending on them, does not matter if I have to pay for subscription.

[@JousefM]

Is the code open source?

[@TheRookieNerds]

Yeah github.com/TheRookieNerd

[@audionmusic2787]

Your English is about 70% understandable. Enunciate and slow down.

[@shaw8234]

3:50

[@TheRookieNerds]

Lol

[@SanjayKannan4502]

Anant Agarwal ftw

[@pelasgeuspelasgeus4634]

Sorry but you don't necessarily need complex numbers. You need vector analysis. I guess using complex numbers on the title you get more views but it's also misleading.

[@TheRookieNerds]

The title merely asks why we use complex numbers even though it explains why it's needed.

[@TheRookieNerds]

The title merely asks why we use complex numbers even though the video explains why it's needed.

[@pelasgeuspelasgeus4634]

@@TheRookieNerds And I told you that you don't necessarily need complex numbers but you pass the message that complex numbers are needed! Don't you see the difference?

[@AsBi1]

he talks like he is talking to himself, couldn't understand a word

[@ankitbhattacharjee_iitkgp]

You of course have to know basics of Mathematics and Electrical Technology for this.

[@solcoster8110]

Hey I Have a question Assumong complex numbers were never invented, would AC circuits would have been created, would lightbulbs, and toasters exists without the invention or knowledge of complex numbers?

[@TheRookieNerds]

Yeah they would've, cause as you see AC calculations are not impossible without complex numbers, they are tedious.