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

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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.

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Animations were coded with a python library:
Created by Grant Sanderson:

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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.

mk.s

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.

hugojj

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.

mr.smitdineshbhaiboraniya

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.

adastra

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!

lucamattioni

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!!!

simon-x

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

gdhinesh

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

titouan

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

arnaudguela

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

kiranshyam

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

briantarrant

Extremely well explained :) Awesome graphics too!

rodrigocalixto

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

academiadaeletricidade

Great content my friend, so epegantly explained

shantanukumar

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.

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