# Questions tagged [gauss-law]

A law in classical electromagnetism and Newtonian gravity which relates (charge) density to the divergence of a field, or alternatively the charge in a volume to the flux through the bounding surface.

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### Net flux = No lines leaving - No lines entering

Consider the following statement I found in a physics book : "The net flux through the surface is proportional to the net number of lines leaving the surface, where the net number means the ...
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### Charge on a conducting sphere

As far as I know, to have a net flex through a closed surface there must be a charge inside it. However, what if I have for example a conducting sphere where the charge accumulate on the surface, will ...
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### Gauss's Law for planes

Why when we apply Gauss's Law on a conducting plane we choose the Gaussian surface to be a cylinder which one end of it is inside the conductor, whereas when we apply Gauss's Law on an insulating ...
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### Tricky thought on Gauss's law

When the charge enclosed by a gaussian surface is equal to $q/2$ nought shouldnt the number of field lines be equal to half which does not make sense at all.
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### Why the electric field inside a solid sphere is non-zero according to gauss while we know that the electric field inside a conductor is zero?

We know that the electric field inside a conductor is zero, but in my book, according to Gauss' law, the electric field inside a solid sphere (it's not mentioned if it's a conductor or non-conductor) ...
2answers
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### Electric field due to a large, non-conducting plate and factors of 2

I'm trying to derive the electric field due to a single large, thin, non-conducting plate at a point (see figure). I'm solving it using 2 methods, and arriving at a different answer using both. I've ...
2answers
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### Version of Olber's Paradox for gravity [closed]

Olber's Paradox is a famous problem in cosmology. In astrophysics and physical cosmology, Olbers' paradox, named after the German astronomer Heinrich Wilhelm Olbers (1758–1840), also known as the &...
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### How did Gauss, Ampere and Biot-Savart derive their laws? [migrated]

Gauss' law for electricity and magnetism, Ampere's law and Biot-Savart's law — all of these laws are crucial for understanding electromagnetism and Maxwell's equations. But I want to know how each of ...
1answer
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### How gauss law is not applicable here?

I am a high school student and I am very confused in how to use Gauss law, when we have to calculate electric field due to infinite sheet or wire, and for spherical surfaces, I know how we do that, we ...
1answer
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### Help decipher the notation said to denote a common pattern in various branches of science in Prelude to Mathematics by W. W. Sawyer

In Section 1.2 - Nature's Favorite Pattern? (excerpted below) of Prelude to Mathematics by W. W. Sawyer (1982), he said mathematicians used the notation $\nabla^2 V$ to denote a pattern that occurs &...
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### Purpose of A Closed Surface in Gauss's Theorem

Why is it necessary to consider a closed surface while dealing with Gauss's Law? From the mathematical point of view, it is pretty clear that since we need to calculate the area of the Gaussian ...
1answer
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### Electric field inside a conductor using gauss theorem

The electric field inside a conductor is supposed to be zero, but if we take a hollow conductor and place a charge inside it, isn't an electric field present at point $P$ (through Gauss theorem)? So, ...
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### Gauss law and electric field

In the above image there are two charges kept away from a point P, electric field at point P is non-zero according to couloumbs law but is zero if we consider a gaussian sphere enclosing the charges. ...
0answers
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### Potential inside a sphere using Poisson's equation

I have trouble calculating the potential of the inside of a hollow sphere (with radius $R_1,R_2$ and $R_1<R_2$) with the help of the poisson equation. When I'm trying do solve this differential ...
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### Eletric Field of a induced sphere

Suppose I have a conductor sphere, and a point charge at a distance x away from the center of the sphere. The sphere will be polarized, but what about it field lines of that sphere? Is zero? I would ...
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### Conductor with two cavities

I am going through the last example discussed in this site which discusses a conductor having charge in two cavities inside as given by the following set up: The only rule obeyed is that when the ...
2answers
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### Electric potential on a non-uniform distribution - hollow sphere

I've been trying to solve this problem: The electric potential on the surface of a hollow spherical shell of radius $R$ is $V_0 cos\theta$, where $V_0$ is a constant. In this problem we use spherical ...
1answer
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### Cylinder gravitational potential

I have a question about infinite cylidner. I wanted to calculate a gravitational potential that it creates, but I've stumbled across some difficulties. From Gauss's Law we know, that force on an ...
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1answer
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### Determining the behavior of the electric field due to a sphere of charge inside a conducting shell

I was recently given a question that went something like this: A spherical conductor is suspended within a hollow, conducting shell. The shell carries $0$ total charge, while the sphere carries a ...
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### Quantisation of gauge field in temporal gauge

Whenever we use temporal gauge and quantise gauge field we implement Gauss law. I have seen some papers but the point is not cleared to me that why we implement Gauss law there. Please explain this if ...