electrostatics - Why is the net electric field due to an external ...
2024年12月1日 · The electric field due to an external charge of a Gaussian surface is not zero inside its volume. The total electric flux is zero, since it only depends on the charges inside the encircled volume. First, you need to understand that the electric field has some interesting property when we talk about flux.
electrostatics - How to choose the best Gaussian surface? Are …
2018年4月20日 · Choose the Gaussian surface in such that the electric field at every point on it is constant. Ultimately, you should be looking for symmetries, since it would simplify calculations a lot. For example, consider finding the magnitude of the electric field due to an infinite thin sheet of charge, having a uniform positive charge density $\sigma$.
electrostatics - Field between the plates of a parallel plate …
If we try getting the resultant field using Gauss's Law, enclosing the plate in a Gaussian surface as shown, there is flux only through the face parallel to the positive plate and outside it (since the other face is in the conductor and the electric field skims all other faces). $$\Phi = \oint \vec{E}\cdot\vec{dA} = EA$$
Charge outside Gaussian Surface doesn't contribute to Flux?
The net flux crossing the Gaussian surface (according to Gauss's law) is irrespective of those charges outside it. In some detail about your case: The total flux leaving the surface drawn is -q (so it is actually entering the surface not leaving it).
Gauss's Law for Non-Uniform Electric Fields enclosed within …
Yes, for any closed Gaussian surface (including irregular surfaces), this law holds. But we consider only symmetrical surfaces (sphere, cylinder, etc.) in academics as it is easy for performing the integration.
Is electric flux dependent on geometry of gaussian surface?
2021年11月21日 · At that point, the electric field strength is constant over the whole Gaussian surface, allowing you to "poll" the "E" across the integral. In addition, since you know the surface area of a sphere (e.g., $4 \pi r^2$), you don't have to integrate "dA". $\endgroup$ –
How to choose Gaussian surfaces while solving problems?
$\begingroup$ You chose the Gaussian surface to simplify you own life. That usually means taking advantage of some symmetries in the problem to allow you to say that "the flux thought this part of the surface is zero" and "the flux through this …
How can a cube be a Gaussian surface? - Physics Stack Exchange
2020年5月13日 · A Gaussian surface ... is a closed surface in three-dimensional space through which the flux of a vector field is calculated; usually the gravitational field, the electric field, or magnetic field. So a cube can be a Gaussian surface, a sphere can be a Gaussian surface, the surface of a tree can be a Gaussian surface!
electrostatics - Gaussian surface for a uniformly charge thin disc ...
2020年12月25日 · As for a gaussian surface for a disk in general, I don't think there is any specific shape for an equipotential surface around the disk. moreover it will be much easier to calculate the field using coulombs law. Well if you want a shape you can always bactrack it using the field derived from coulumb's law
Why doesn't a gaussian surface pass through discrete charges?
If there is a point charge located on the Gaussian surface, then it is ambiguous how much of that charge should be counted as inside the surface. The same ambiguity does not arise for a three dimensional charge distribution, or when a Gaussian surface intersects a two dimensional charge distribution only over a one dimensional region.