Gauss law logical proof (any closed surface) | Electric charges & fields | Physics | Khan Academy

Using geometry let's prove that the Gauss law of electricity holds true for not just spheres, but any random closed surface.

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Created by Mahesh Shenoy

[andrei-unyr]

I'm so glad I found you, it has always bugged me how the flux had to be the same for any closed surface, and I was never able to find a convincing proof online

[Pixel_]

Thanks for explaining this so easily 🤝

[rajnishranjan]

i have been hovering on internet for hours to find a correct explanation. I am so greatful to find your video, it completely solve my problem. thanks for helping us.😊😊😊😊

[abbasfadhil]

gauss is truly a genius he went from proving the flux for only a sphere to proving its the same as long as it's a closed surface using only high school geometry truly magnificent

[danielmaxwell]

dude what a beautiful explanation !!mind blowing

[LostWings]

I have never been this happy while learning physics😅, but this one blowed my mind❤

[mansishivgunde]

Thank you very much!😊 I am so happy today. I was searching for it from so long time.

[growwithgaurav]

Got amazed by this explanation. Love it .

[brianandrews]

My head hurts. My mind is blown. My heart beating.
Thank you!

[pizzarickk]

You're literally the best. I seriously love you from the bottom of my heart

[arshpreetkaur]

Make such videos on on other maxwell's equations also

[Shoeb._.G]

Your best at explaing a boring topic in an exiting way and easy way

[krishnashisdas]

maan this is really great. it kinda surprised me

[zizo-veib]

Wow, I have to admit when you said logical proof and stuff I was really skeptical, felt like it barely even involve math totally caught me off guard with how detailed this was, great work.
But just to make sure I got this part right, at the start you basically divided the whole sphere into many tiny circles and same with the blob all to sum it up later much like how we can divide anything into tiny squares in calculus but transferred into spherical coordinates, or something like that right?