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Not having a good understanding of Gauss's Law

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Hello,

So I had been studying Gauss's Law yesterday, and I still don't feel like I have an excellent grasp of it. I wonder, why is it when there is cylindrical symmetry, sometimes it seems you need to calculate the E coming from both ends of the gaussian surface, but other times only out of one. How do I know when to use which?


Also, my mind is still blown how you can just take a little chunk of an infinite surface and still calculate its electric field, it feels like I'm still not convinced, even though I know it must be true, I haven't wrapped my head around it. Can anyone maybe attempt to help me understand?

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