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

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  • Опубліковано 12 січ 2025

КОМЕНТАРІ • 81

  • @hugojj101
    @hugojj101 Рік тому +19

    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.

  • @mk.s4023
    @mk.s4023 7 місяців тому +5

    I've watched countless videos concerning circuit analysis regarding the phasor, complex number and complex number plane, vector, why we use them (the rotation), why we use frequency domain instead of time domain, Fourier and Laplace transform, so on and so forth. A lot of them helped and gave me a good idea, but your video tops the spot in terms of concieseness and providing necessary intuition as for WHY we use them, in the most straigt forward way.
    Holy, thanks. And please keep up the good work.

    • @TheRookieNerds
      @TheRookieNerds  7 місяців тому

      You are welcome, glad I could help :)

  • @mr.smitdineshbhaiboraniya8288
    @mr.smitdineshbhaiboraniya8288 2 роки тому +3

    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.

  • @titouan3702
    @titouan3702 Рік тому +2

    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
      @TheRookieNerds  Рік тому

      Thank you for your kind words, glad I could help

  • @simon-x
    @simon-x 11 місяців тому

    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!!!

  • @lucamattioni7690
    @lucamattioni7690 2 роки тому +2

    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
    @adastra123 11 місяців тому +1

    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
      @TheRookieNerds  11 місяців тому +2

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

  • @gdhinesh7748
    @gdhinesh7748 3 роки тому +7

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

  • @arnaudguela631
    @arnaudguela631 Рік тому

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

  • @briantarrant4907
    @briantarrant4907 Рік тому +1

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

  • @rodrigocalixto470
    @rodrigocalixto470 2 роки тому +1

    Extremely well explained :) Awesome graphics too!

  • @exponentmantissa5598
    @exponentmantissa5598 6 місяців тому

    There are 3 solutions that really can be applied to all circuits with RLC. They are underdamped, critically damped and overdamped. The nice thing about solving for a sinusoid is any signal can be modeled as a fourier series of summed sinusoids so the solution is just the sum of the solutions for the various sinusoids.

  • @academiadaeletricidade
    @academiadaeletricidade 7 місяців тому

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

    • @TheRookieNerds
      @TheRookieNerds  7 місяців тому

      Thanks :) Glad I could help

    • @academiadaeletricidade
      @academiadaeletricidade 7 місяців тому

      5:28 could you explain "linear Differential Equation with an exponential drive produces an exponential output" and why vc(~) = Vc*e^jwt

  • @kiranshyam100
    @kiranshyam100 7 місяців тому

    sir really saying its superb channel.kindly upload many video series with animation students even staff can make understand much better.

  • @abdomohamed4962
    @abdomohamed4962 3 роки тому +1

    this channel is sooo underrated

  • @abbask56
    @abbask56 Рік тому

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

  • @shantanukumar7174
    @shantanukumar7174 11 місяців тому

    Great content my friend, so epegantly explained

  • @mibrahim4245
    @mibrahim4245 2 роки тому +1

    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

  • @alinakobru6721
    @alinakobru6721 Рік тому +1

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

  • @MegawattKS
    @MegawattKS 9 місяців тому

    Excellent animations !

  • @a.nelprober4971
    @a.nelprober4971 2 роки тому

    Exceptionally well put together video.

    • @a.nelprober4971
      @a.nelprober4971 2 роки тому

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

  • @samuealraj4427
    @samuealraj4427 3 роки тому +1

    Amazing content.. Way to go bro!!

  • @skidmarco1
    @skidmarco1 5 місяців тому

    what is the name of the identity used to rearrange the equation at 2:36 ? sorry im dumb

  • @bmacdoug
    @bmacdoug Рік тому

    Beautifully done.

  • @manishgarg390
    @manishgarg390 2 роки тому

    Fantastic content please make more videos on these complex topics

  • @vasanthnatarajan4834
    @vasanthnatarajan4834 3 роки тому +2

    Very nice work ❤️

  • @joswarbellidorosas3956
    @joswarbellidorosas3956 2 роки тому

    Awesome explanation!!

  • @balajimundhe6102
    @balajimundhe6102 Рік тому

    is it related to Fourier transform ?

  • @isaigordeev
    @isaigordeev 3 роки тому

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

  • @sachi4153
    @sachi4153 2 роки тому

    Really great job brother

  • @alisharifian535
    @alisharifian535 Рік тому +1

    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.

  • @aviral1337
    @aviral1337 Рік тому

    Great video!

  • @garethxue8938
    @garethxue8938 Рік тому

    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.

  • @gomathisankarr1768
    @gomathisankarr1768 3 роки тому

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

  • @sainarasimma6465
    @sainarasimma6465 3 роки тому

    Great work 🔥

  • @shivanshtripathi986
    @shivanshtripathi986 2 роки тому

    Really Awesome 👏

  • @isaigordeev
    @isaigordeev 3 роки тому +1

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

    • @TheRookieNerds
      @TheRookieNerds  3 роки тому

      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

  • @MMNayem-dq4kd
    @MMNayem-dq4kd 2 роки тому

    Great job bro.

  • @kikifaqih_
    @kikifaqih_ 2 місяці тому

    how to draw circuit and simbol like that ?🥺🙏🏻

    • @TheRookieNerds
      @TheRookieNerds  2 місяці тому

      In manim?

    • @kikifaqih_
      @kikifaqih_ 2 місяці тому

      @@TheRookieNerds yes bro, please answer🙏🏻

    • @kikifaqih_
      @kikifaqih_ 2 місяці тому

      @@TheRookieNerds how?🥺

    • @TheRookieNerds
      @TheRookieNerds  2 місяці тому

      I manually made VMobjects for each component. Like look at how a Rectangle object is written, you'll get the idea. If I find my code I'll forward, must be in my GitHub

    • @TheRookieNerds
      @TheRookieNerds  2 місяці тому

      It's in here smwhere, look around
      github.com/TheRookieNerd

  • @ThePhysicsTrain
    @ThePhysicsTrain 3 роки тому +1

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

    • @TheRookieNerds
      @TheRookieNerds  3 роки тому

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

  • @alfaalberto1
    @alfaalberto1 9 місяців тому

    What happened with the other videos?

    • @TheRookieNerds
      @TheRookieNerds  9 місяців тому

      Which ones?

    • @alfaalberto1
      @alfaalberto1 9 місяців тому

      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
      @TheRookieNerds  9 місяців тому +1

      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
      @alfaalberto1 9 місяців тому +1

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

  • @JousefM
    @JousefM 3 роки тому

    Is the code open source?

  • @RAHUDAS
    @RAHUDAS 7 місяців тому

    The why part is not clear yet

  • @bartolomiuschristoffel8108
    @bartolomiuschristoffel8108 2 роки тому

    Are you use manim to make this video?

  • @wangyuwin
    @wangyuwin 2 роки тому

    good stuff

  • @shaw8234
    @shaw8234 2 роки тому +1

    3:50

  • @audionmusic2787
    @audionmusic2787 Рік тому +8

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

    • @Hobomuskrat
      @Hobomuskrat 4 місяці тому

      Learn to listen to accents...it ain't that hard 😂😂😂

  • @alviafnan007
    @alviafnan007 12 днів тому

    bro you cooked

  • @SanjayKannan4502
    @SanjayKannan4502 3 роки тому

    Anant Agarwal ftw

  • @pelasgeuspelasgeus4634
    @pelasgeuspelasgeus4634 Рік тому

    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
      @TheRookieNerds  Рік тому

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

    • @TheRookieNerds
      @TheRookieNerds  Рік тому

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

    • @pelasgeuspelasgeus4634
      @pelasgeuspelasgeus4634 Рік тому

      @@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?

  • @HarryTwoDogs
    @HarryTwoDogs 7 місяців тому

    TBH I couldn't understand you when you speak.

  • @AsBi1
    @AsBi1 Рік тому +2

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

    • @ankitbhattacharjee_iitkgp
      @ankitbhattacharjee_iitkgp 11 місяців тому

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