Recent content by 101111001101
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Graduate Physical significance of dot and cross products in electrodynamics
\nabla.\phi = \frac{\partial \phi_x}{\partial x} + \frac{\partial \phi_y}{\partial y}+\frac{\partial \phi_z}{\partial z} It looks like the dot product of \frac{\partial}{\partial x} +\frac{\partial}{\partial y} + \frac{\partial}{\partial z} and (\phi_x,\phi_y,\phi_z). It's an abuse of...- 101111001101
- Post #7
- Forum: Differential Equations
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High School Can a plane stay over a point on Earth and travel as it rotates?
Yeah my bad. The sun rises in say Japan (just a convention) first, then proceeds on to Europe and then the Americas. So if you hover over London, you'd fly above the Atlantic to the Americas, not in the other direction.- 101111001101
- Post #6
- Forum: Mechanics
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Undergrad Why is Avogadro's constant expressed as mol-1?
Instead of using kilo Joules per mol for enthalpy of fusion, couldn't you use kilo Joules for every so many particles of that substance (I know I'm really just saying the same thing)? When you use mol for enthalpy of fusion, it is understood that you are saying these many kilo Joules required...- 101111001101
- Post #11
- Forum: Other Physics Topics
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Graduate Deriving Gauss's law from Coulomb's law using divergence
Also, is there no other way to deal with it (other than using dirac delta function)? Does this mean that there is a singularity there? How does classical electromagnetism deal with this singularity? Or are the equations inadequate (meaning that point charges are the wrong way to look at what is...- 101111001101
- Post #6
- Forum: Electromagnetism
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High School Can a plane stay over a point on Earth and travel as it rotates?
So you mean if a plane is levitating up while the Earth rotates? So if the plane is stationary above US and the Earth rotates, it could wait for a few hours and would end up above London. Sure. Now, imaging you are on the surface of the Earth in the US and are looking at the plane above you. You...- 101111001101
- Post #3
- Forum: Mechanics
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Graduate Deriving Gauss's law from Coulomb's law using divergence
So, the problem lies in not the mathematics but my interpretation of it? Why does a point charge yield a zero divergence but a charge enclosed in finite volume (say a sphere of radius R) yield finite divergence when the electric fields generated by them at point satisfying x^2 + y^2 + z^2 \geq...- 101111001101
- Post #5
- Forum: Electromagnetism
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Graduate Deriving Gauss's law from Coulomb's law using divergence
Hello all... I have been working on this problem that I just am not being able to solve. I've been spending my spare time learning some vector calculus and non-euclidean geometry (my aim is to be able to finally tackle relativity). After learning some basic things about the del function, I...- 101111001101
- Thread
- Challenge Maxwell's equations
- Replies: 6
- Forum: Electromagnetism