Simulating the electric field and a moving charge

A link to the full video is at the bottom of the screen.

[djdurtyd]

These are just absolutely beautiful simulations.

[Svuem]

I love that resources this valuable are just free for everyone to watch. This provides some much needed intuition for these very involved multidimensional concepts. I would be very excited to see an episode about topology and manifolds, since I still lack some 3d intuition for those objects

[SigmaLiving]

The visualization of these concepts are phenomenal!
Would have been great having these when I was taking these courses!

[sorry]

i wonder if he knows that the mitochondrion is the powerhouse of the cell

[justin.c.taylor]

I love this concept of showing us cool things you learned while making your longer format videos. I've watched your videos for years, I would enjoy more shorts like! Thanks

[starryeye]

The moment i started seeing the field effects that you were displaying, it looks like the effects of various star behaviors and galaxies. It really does remind: from micro to macro, everything repeats behaviors

[adamcupoftea]

Me: *tired of animating pictures in After Effects for memes*
3b1b:

[alexanderzieschang]

I love this! I had a course in my Uni last year where we simulated these fields with a code we had written ourselves and then displayed the results and it really reminds me of this!

[juanmoralesvideo]

I love all your content. And I love when shorts have a clear ending and a clear start.

[CSMHD]

thank you so much
you are a gift to humanity
and beyond :)

[karimullahsarkar]

Your math simulations always help me to understand the problem through visualizations. Thank you for the videos❤

[edoh]

Friendly reminder that when we see simulations like this, we're watching a representation of what physicists call an "electric field" – which raises an interesting philosophical question about what really exists in nature! In this classical simulation, the electric field functions primarily as a mathematical description that helps us predict how charges interact. While the patterns and effects we observe are absolutely real, the field itself (in this simplified classical context) is best understood as our mathematical tool for describing these interactions rather than a fundamental entity with its own independent existence. It's like a map that accurately predicts terrain without being the terrain itself. In more complex quantum scenarios, electromagnetic fields might actually display properties that can't be reduced to simpler components – but that's beyond what this beautiful simulation is showing us!

[michaels.]

This is such a great visitation of electrical wave propagation! This would have answered so many visualization questions I had back when I was taking E&M!

For the 3D visualization, maybe tying RGB values to XYZ coordinates could help demonstrate the wavefronts there? If possible, I'd also try to give the vectors an opacity that drops off with radius (perhaps 1/r^2, just to be topical?) so that the vector's nearest the charge are most obvious. (Or maybe make the opacity proportional to the vector magnitude so we see only the "strong E-field" points?)

[MathStatsMe]

I love how you are able to illustrate and animate things we've had to just imagine all these years as we do the math. Thank you for sharing your talent!

[gunnar-music]

Keep doing what you do, I grown up from High school to now end of college gaining inspiration from every post you make

[imadyTech]

Thanks, this simulation solved my problems in visualization the magnetic fields for decades.😊❤

[Malenhagen]

Its super interesting to see how would groupd of electrons behave, if they will orbiting nucleus, and how is that will correlate with other orbiting electrons, of another atom. Settings of amount electrons, angle of orbit and thier direction should explane how exactly electromagnetism works for real.

[IhsanMujdeci]

Would be nice to see the simualtion on different axis sife by side to get a better understanding of what full 3d would look like.

[urboss]

Wow studying for the JEE, I just covered that "mini law" and it's so cool to see it visualised

[Sistersever-Aces]

Thank you,
finally someone speaks it out and shows an animation that we are in a 3D world and those 2D waves we see in 99% of all online videos of wave functions are in reality 3D spherical (Round Ball for Flat earthers) radiation.