# 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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### What is the correct interpretation of Electric flux? (beyond a mathematical formula)

From when I first learned flux and till now, I was thinking of flux as a measure of 'flow'. Now, this interpretation breaks down if you consider conductors as I will show below. Here, there is abrupt ...
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### Why is it that when calculating the electric field of a cylinder, the linear charge density is used?

I think that the surface charge density is more appropriate as the cylinder, unlike a rod, does have a surface. However if I look at textbooks like Halliday or even stuff on the internet it seems ...
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### Charges in a conductor

When a conductor is placed in some external electric field, why can't the free electrons just escape out of it? Is the positive charge distribution on the opposite side(surface) always strong enough ...
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### What will be the electric field intensity in the space between the two plates? [closed]

Suppose, we have a parallel plate capacitor and we know the following about it: Area of each plate = $A$ Distance between the two plates = $d$ Charge on each plate after fully charging the capacitor = ...
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### Derivation of Gauss' Law of Gravitation [duplicate]

this question is simple, I was looking for a good derivation to Gauss' Law of gravitation $$\int \vec g.d\vec A=-4\pi GM$$ but was unable to find a good enough one online. Hence may I know its ...
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### How to find integral's bounds - calculating electric field using Gauss's law?

This is the original question: The space between two parallel infinite planes $x=0$ and $x=L$ is filled with charge of the density $\rho\left(x\right)=ax^{2}\left(L-x\right)$ where $a$ is a ...
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### Calculating surface charge density as a function of time

An infinitely large conducting sheet of thickness $d$ and of conductivity $\eta$ is uncharged. At an instant $t=0$, an external uniform and electric field $E$ is switched on. Due to this, the ...
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### Time-domain model of a capacitor when the capacitance is varying with time

The current through a capacitor as a function of time is given by; $$i(t)=C\cdot \frac{d}{dt}U(t)$$ When assuming that the capacitance $C$ does not vary with time. But what if it does? I don't know ...
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### Why is electric field inside a conductor non-zero even if there is point charge placed inside it?

If I place a point charge q inside a conductor, The electric field at any point inside it will be non zero (Kq/x²). If we draw a Gaussian surface inside the conductor, the net enclosed charge will be ...
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### I was told whenever we have equi-spaced equi-potential planes, field must be constant. I seek the proof of this statement [closed]

Y-axis vertical line and the other is X-axis
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### Finding direction of field when using Gauss law

I have seen this stack question Applying Gauss' Law to find Electric Field but I got confused when I saw the comment and the answer because, clearly the flux is a scalar quantity (due to dot ...
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### What is the meaning of $\rho _b$ blowing up at the surface?

In Griffith's it has been said that while deriving the equation $\nabla\cdot D=\rho_f$ where $D\equiv\epsilon_0E+P$ and $\rho_f$ is the free charge, there has been no mention of the surface bound ...
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### Field inside cavity of charged conductor

Can we use gauss law to prove that field in a cavity of charged conductor of any shape is zero?? If so how as the shape may lack symmetry? If not how can we prove the field to be zero? I know that the ...