Maxwell's equations explained logically! (Ep: 1 - Power of Gauss's Law)

Let's intuitively learn two Maxwell's equations - Gauss's Law - intuitively. And solve in minutes, what Newton couldn't in years.

The first two Maxwell equations - The Gauss law - comes directly from Coulomb's law. That's right, by rearranging terms and doing some clever arguments, we can logically show that the flux through a closed surface must indeed equal the total charge enclosed by the surface. And in doing so, we will uncover why we define electric flux as the dot product of electric field and the area in the first place.

Then, we apply this to find the electric field due to a sphere of charge, outside it. Newton did a similar calculation - finding the gravitational field due to sphere of mass - using integrals. You can find the proof of that online Search for Shell theorem.

But, using Gauss's law, we can find the answer much quicker.
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[rajanvenkatesh]

43 years ago I struggled with Gauss' Theorem and have stayed trapped in it.. I feel somewhat liberated now, thank you Mahesh.

[Afrinn]

this is easily the best explanation of gauss's law that i've ever seen.
cant believe you managed to make it all so intuitive

[Epoch]

You might be giving the best explanations that exist on YouTube. I think even Richard Feynman would be impressed

[D_dusze]

Why are you so good at explaining?!?!? You make me feel like im good at physics😭😭

[ffggddss]

Wonderful transmission of Feynman's explanation of Gauss' Law!
As a mathematician and a physicist, I especially admire how much math you *didn't* use! The wise view is that the math flows from the concepts, which you relayed so well.
This video is excellent preparation for moving into vector calculus. And I've always admired the approach Prof. Feynman used in explaining physics.
The Feynman Lecture series (3 vols.) is essential for anyone who wants not just to know, but to *understand* physics.

Fred

[mickwilson]

Mahesh, I am so glad you have Feynman's daemon on your shoulder, along with Maxwell's. Oh, the conversations you must have!

[tyapca]

If only I had such lecturer when I was young. I do not say they were bad. They *were* masters. However, sometimes, they were boring. I'm sorry. So, thank you very much, Sir! You're a talented man, IMHO. This lecture was a wonderful experience for me. So simple, and so clean. A big thank you.

[Familyproud-eh]

I really like your videos and appreciate the time you take to explain physics. These days it has become so common to judge the work of previous scientists and say they were wrong, they didn't know this, they struggled to solve this or that problem, etc as if we found out by ourselves all the flaws in their theories oe equations. Scientists build their work on the works of the previous ones. Their struggles laid the foundation for the future scientists.
I hope one day we appreciate the efforts s of all who contributed to our modern understanding of the world.
Thank you so much for the great contents you create on this channel

[romanburtnyk]

That's so cool. Everything I was feeling somewhere inside about electromagnetism has been extracted here is this video. I'm happy I found this channel

[garrett]

Great presentation as always! Another consequence of gausses law that no one talks about is the fact polarized light is not physically realizable. Only quasipolarized light can exist since em waves must always form closed loops. Plane waves are only mathematically polarized be becauae they extend infinitely. Real light cannot be polarized in a single direction. There are so many interesting consequences of gaussses law!

[simpleprogrammer]

I really enjoy your videos. I could not have hoped for a better elucidation of charge flux while taking physics in college. I love the joy and the excitement you express at each of the 'lo and behold moments along the way, and your respect for Feynman's beautifully revealing inferences and approaches to finding answers. You're a good teacher: this is good teaching. Love it.

[manoochehrtakrimi]

The dot is not fancy way of dealing with surface. It is ruling the effect of angle between da and direction of the E field.
Also, putting all the charges at the center is ONLY valid if charge distribution inside the sphere is symmetric. Otherwise E can not be factored out.
Regards.

[gazsibb]

Oh I loved that. The clearest explanation ever. Thank you so much for posting. What a teacher you are.

[jlpsinde]

This was pure genius! I’m a physics teacher, and I found your video to be amazing, the idea of the water was incredible.

[thepandaman]

When I learned Maxwell's equations before I saw them as no more than some random equations, but your explanations allowed me to get a new understanding of them and see the beauty of Physics. Thank you for the effort.

[autismuskaefer]

I really like how you explain everything here in a easy-to-follow way and simultaneously making it exciting to understand. It helps so well to get an intuitive understanding for these physical phenomena and the relationship to their equations. Well done, keep it up👍

[jamesraymond]

I love your sense of amazement. That's what drives the best physicists.

[denkid]

The discussion also motivates why we define Electric flux the way it is! Amazing Sir.

[mayurkalsekar]

This channel is going to blow with such quality videos

[edsharman]

Your enthusiasm and passion made this not only amazingly informative (and I really mean that) but a pure joy to watch. Wonderful, thank you.