Electric Flux

[timid furnace]

Why electric flux due to charge outside the gaussian surface is zero.
i know 2 explanations,

1. Qinside/ε₀ = 0 as there isn't any charge inside the gaussian surface.
2. Jitni Field lines enter kar rahi hain, utni hi exit kar rahi so flux total = 0

But can someone please explain if we try integrating E.dA vector, we get 0 for charge outside.
integrate karke zero kaise aaega?

[leaden star]

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[broken marten]

apke ik var integrate karne ka try kiya?

[timid furnace]

sorry i didn't get it!

matlab aap kya kehna chah rahe ho mujhe samaj nahin aaya

[green merlin]

You'd need to look up a proof of the Gauss Divergence Theorem

If you're fine with vector calculus, I can share one

[timid furnace]

yes sir please

[green merlin]

https://youtu.be/vCAFlt4pQSQ?si=p7-pJ6JaNFZxxfL_

There's multiple parts

This is gonna be overkill though

You can also find it here.
https://www.feynmanlectures.caltech.edu/II_03.html

[timid furnace]

thank you so much brother!
all the best!
have a nice day!

+solved @green merlin

[leaden star]

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@green merlin (763645886500175892)