An elegant demonstration of getting from Maxwell's equations to Kirchhoff's laws. Thank-you.

Thank you very much! As an electrical engineering grad student, these videos help me a lot! Greetings from Brazil😄

Thanks! Another great video and explanation!

Hey man, I just found your channel. This video is great, especially the last part where you show how the KVL/KCL are limiting case of Maxwell's equations. Didn't know that. :) Although I have to add that I'm glad the subtitles work well because of your pronounciation (I'm german, so I would probably not do it better :D), the video was easy to understand!

Nice work 👏

dammmnnn.. you nailed it broo ! cool

at 4:00 Electric field-flux changes by moving charges, but show me why E-flux may be 0 in a wire or not. (e=fermi electron, c= capacitor) e c e c e c e c e c e c e c e c, there are empty spaces between fermi electrons that can serve as capacitors that can create the circular B-field even before the electron arrives. BUT because of the E-flux contributions that come from the front e- and the back e- CAN be canceled to be all zero, but show me how

where is the rest of the equations with nabla pointing to the left and with nabla pointing to the right? why only a special case?

(My feedback as requested through Habitica STEM Guild) 0:22 "Differantial" should be "Differential". 🎨🍕🍕🍱🍱 Exploit the 1:3 ratio in your presentation space to better engage your audience retentive awareness. For instance, the reference chart at 0:08 would be well placed on the left or right 1/3rd or 2/7ths of the presentation space. It should work as a psychological anchor and compass for the viewers. My guess is this will keep attention from wandering outside the bounds of the media when attention is inevitably interrupted, lapsed, or waning. In a similar instance, during the visualizations (like at 0:56) it would help to have the relevant formulae (like from 0:53) to have remained. If I only see a formula for a second or two and then stare at a fancy moving animation -while trying to continue listening to an explanation- I'm guaranteed to completely forget whatever formula I just attempted to learn. (2:26) I'm noticing that I'm having a hard time reading the formulae again. I think the problem is that the script assumes I learned to represent the concepts encapsulated by the terms with the same character-set. I didn't. Not so much a mark against the video as it is a common problem educators face in our privatized and fractious education system. 4:55 First use of the term "curl"? Not used again until 10:44 🤔🤔 Might I suggest adding in-video links to videos that explain these other concepts? Might increase the value of your content but it might also mess up your analytics. 6:12 May want to describe what Faraday's Law is governing. Not sure who your intended audience is, so I'm not sure if it's expected they have a rote understanding of it. 🚸🚸🚸🎓🎓🎓🛠🛠🛠🎮🎮🎮 6:26 "... so on and so forth" This phrase is very disorienting, particularly when combined with the rapid-fire description of the relationship between Faraday's Law and Gaussian Dynamics. "... and so on" shows up again at 10:11. I would suggest "a change in [X] will always be expressed in a change in [Y]. It removes the kinda recursive explanation feeling I'm getting by eliminating the iterative nature of the expressed mathemechanic. 6:41 Use of "space derivative" has me drawing a blank. Is this another reference to the closed scope context being used previously when describing the area of flux interaction/determination? I tried to research it on my own but the phrase is used too inconsistently across too many subjects to understand exactly what you're encapsulating with that/those terms. I'll amend this statement if I figure it out. Ahh, got it at 8:08 when I remembered we're focusing on the nature of the inverse square. 6:48 "free space" finally comes up. Good. I have a bone to pick with its definition... 😈😈 7:28 Not sure why we sat through a slow and silent rendering of a fourier approx of a unit sinusoid but w/e. No threat to my GPU. 8:06 "...by simple math manipulation..." Again, not sure what level your audience (or I) am at but I don't think anything going on in this video should be described as "simple math". 📡📡 End of video: the recommended next video appears to be blocking the background where all I can determine to be written is "Your [illegible] is important." (?Auto-)Captions Problems: 2:38 Not sure if the narration was "electrostatic bond" (what I heard) or "electrostatic one" (what I read). 3:50 "Maxwell" is written as "max will". 4:42 "Ampere's law" turned into "emperor's law". 🤭🤭 5:52 "displacement current" (heard) written as "replacement current" (read) 9:49 the second "Kirchhoff" was recorded as "kirk of". 🚀🚀 Also happened at 10:35.