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PeroK replied to the thread Graduate Horizontal component of the electric field of an infinite uniformly charged plane.Suppose we have a sequence of shapes that converge in some geometric sense to a limit shape - bounded or unbounded. That does not imply... -
PeroK reacted to haruspex's post in the thread Graduate Horizontal component of the electric field of an infinite uniformly charged plane with
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I think there are two issues here, a purely mathematical one and a practical one. In the maths, we can model an infinite sheet as the... -
PeroK reacted to PeterDonis's post in the thread High School Is there anything in the Universe that is not fundamentally made up of matter? with
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Because they're using different definitions of ordinary language words. That's why we don't do physics using ordinary language. We do it... -
PeroK reacted to renormalize's post in the thread High School Is there anything in the Universe that is not fundamentally made up of matter? with
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Modern physics quite simply views "matter" to be any of the 17 quantum fields that appear in the Standard Model (SM)... -
PeroK replied to the thread High School Is there anything in the Universe that is not fundamentally made up of matter?.It seems to me a bit like saying all the people in the world are men, if we count women and children as part of "mankind". -
PeroK reacted to renormalize's post in the thread Graduate Can a causal or time-like structure emerge without assuming a metric? with
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@OmniThoughts, by joining this forum you agreed to abide by all the rules stated here... -
PeroK replied to the thread High School Is there anything in the Universe that is not fundamentally made up of matter?.There is matter, antimatter, radiation, possibly dark matter, possibly dark energy, spacetime (if you count that as something)... -
PeroK reacted to Borek's post in the thread High School Is there anything in the Universe that is not fundamentally made up of matter? with
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So helium-4 atom doesn't occupy space? -
PeroK reacted to DaveC426913's post in the thread High School Is there anything in the Universe that is not fundamentally made up of matter? with
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While not definitive, one might make a good start by grouping all things into either fermions or bosons. Fermions obey the Pauli... -
PeroK reacted to Dale's post in the thread Undergrad Electric Field of Uniformly Charged Infinite Plane with
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By “usual” I meant “usual for the infinite plane”. Most people, when solving the infinite plane problem, implicitly choose a boundary... -
PeroK reacted to Dale's post in the thread Undergrad Electric Field of Uniformly Charged Infinite Plane with
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I don’t think they did go awry. It is a valid solution to Maxwell’s equations. It is just a different boundary condition than usual. -
PeroK replied to the thread Undergrad Electric Field of Uniformly Charged Infinite Plane.The horizontal component is zero, by symmetry. I've not got time to do the asymmetric calculation now. I'll do it later. Although... -
PeroK reacted to Vincf's post in the thread Undergrad Electric Field of Uniformly Charged Infinite Plane with
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Hello, The sum you're showing is a Riemann sum. The Riemann sum is $$\sum_{n=0}^\infty f(x_{n})(x_{n+1}- x_{n}) $$ with the function... -
PeroK replied to the thread Undergrad Electric Field of Uniformly Charged Infinite Plane.Re the above identity for ##\pi##. $$\int_0^{\infty} \frac 1 {1 + x^2} dx = \bigg [\tan^{-1}(x)\bigg ]_0^{\infty} = \frac \pi 2$$And ... -
PeroK replied to the thread Graduate Horizontal component of the electric field of an infinite uniformly charged plane.I've started a new thread on how to do this properly...