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I was mislead

Excellent explanation sir 🎉🎉🎉

so good! Thanks from Yale graduate students.

You are one of the best, wow

Eagerly waiting for your Jefimenko's Eqns which are proving how electric and magnetic field are perpendicular to each other and Lienard-Wiechart potential.

impressive sir

let there be light

GOD tier explanation

Sum of x^n=1/(1-x) true only when x<1. Is x really smaller than 1?

Does not work with glass cannon mutator 😢

Your content is very beautiful and very concept building, please keep making such interesting videos.

Woww great ❤❤❤

Hey, this video is really great ! I'll share it with my classmates later, but I still have one question : what is the difference between an upper or lower indices ? I know that it has to do with covariant and controvariant quantities but I still have trouble understanding what it means in the world of physics. Does anyone have any explaination or know where I could learn about it ?

Thanks goat, this was more effective than my 50 minute lecture on it.

This is better than the 3blue1brown video on limits.

You start building units like ten seconds before the round starts.

Thank you so much. I have my finals in 2 weeks, and this video really cleared up a lot of confusion I had surrounding Optical Mineralogy

Amazing video, cleared all my doubts Great work

This explanation is something else. I'm studying Physics in Nepal, where we're often left to figure things out on our own. The education system here doesn't always support us the way we'd hope, so we turn to videos like this to keep our dreams alive. I’ve always dreamed of doing a Ph.D. in Physics, even though opportunities from a country like mine are so limited. This video touched my heart and gave me hope. Thank you, and sending lots of love from Nepal!

Welcome back!!😆

I'm glad you uploaded man! You bring good stuff!!

감사합니다!

watchig this for 10 min(2x speed) was a severe waste of time dude ty

Why that minus at the end

Which book did you follow ?

Very good

It is far easier to understand in geometric algebra notation. Only two multivectors, one for electromagnetic field, the other one for charge, 2 constats, c and ε0, and only one differential operator - gradient. grad(F) = J * constants (I don't remember exactly how constants contribute, in my note the equation written in natural units, all the constants equal to one) For more info check «Swift introduction to geometric algebra» on RUclips.

This is sooooo fuuucking great!!!!!! THX!!!

Thank you so much but can someone please explain the dirac delta part, how did the integral of dirac delta change both time and position of rho? Thank you!

although now I get it, but still it would be great to have the biaxial explanation as well. just for the sake of helping us grasp it better

Good and clear explanation!!! Helps me a lot! Thank you.

Very helpful. Lot of confusion resolved

❤HAHAHA brilliant . Thank you very much TEACHER. Beautiful lesson and demonstration.Thank you

Hi.. I was following daniel fleisch and matrix you have written here is for the covariant tensor not the contravariant

Thank you!

Immaculate explanation. Thanks.

Hi, thank you for this great explanation. I have a question is the optic axis always in the same direction as extraordinary ray?

I like the 2 cats at the end :) keep it up!

Here you "derive" the EM field tensor from the scalar and 3-vector potentials which together constitute a 4-vector potential. But why not first define the EM field tensor from the definitions of the E and B fields? dp/dt = qE + qv × B and dW/dt = qE⋅v ?

Keep doing this, ... because you do it well to the benefit off us all!

I WISH I'd had this as my introduction to tensors when I was at uni half a lifetime ago!

Why we need tensors?

Could you please talk about Linear map and covectors...etc

Thank you for this video 😊

❤ an excellent video on tensors. Very intuitive.

Though "we use vectors in 3D" they are still a 1D object.

This is the greatest tensor video ive ever seen. And the title is so straightforward

Thanks I was just searching for this. Im guessing gravitational waves also have retarded potential, I wonder in a 2 body system of masses , if the current direction of force vector points at the previous point or not. from wikipedia on Retarded Potential "As in the case of the Liénard-Wiechert potentials for electromagnetic effects and waves, the static potentials from a moving gravitational mass (i.e., its simple gravitational field, also known as gravitostatic field) are "updated," so that they point to the mass's actual position at constant velocity, with no retardation effects. This happens also for static electric and magnetic effects and is required by Lorentz symmetry, since any mass or charge moving with constant velocity at a great distance, could be replaced by a moving observer at the same distance, with the object now at "rest." In this latter case, the static gravitational field seen by the observer would be required to point to the same position, which is the non-retarded position of the object (mass). Only gravitational waves, caused by acceleration of a mass, and which cannot be removed by a change in a distant observer's inertial frame, must be subject to aberration, and thus originate from a retarded position and direction, due to their finite velocity of travel from their source. Such waves correspond to electromagnetic waves radiated from an accelerated charge." en.wikipedia.org/wiki/Retarded_position , doesnt make much sense to me ..

Your tensor videos are a huge help, thank you very much. I couldnt find anything near as good as your videos for an introduction to this topic