And which way is that ##\vec E## pointing ? What is the ##R## there ?Taulant Sholla said:
I know of no way to use Gauss's Law to solve for E at the center. There's not the required symmetry.Taulant Sholla said:
If you're calculating flux from knowledge of the charge distribution, or vice versa, then you're correct.Taulant Sholla said:
Gauss' Law is a fundamental law in electromagnetism that relates the electric flux through a closed surface to the charge enclosed by that surface. It can be used to solve a wide range of problems related to electric fields. However, there are certain factors that need to be considered before using Gauss' Law.
Gauss' Law can only be used in situations where there is high symmetry in the distribution of charges. This means that the electric field must have a constant magnitude and direction throughout the surface. Additionally, the surface must be closed and the charge distribution must be static.
No, Gauss' Law can only be applied to closed surfaces. These can be any shape as long as they are closed, meaning that they form a complete boundary without any openings. Open surfaces cannot be used with Gauss' Law.
Gauss' Law is used to calculate the electric field at a point due to a charge distribution. The first step is to choose a closed surface that encloses the charge distribution. Then, the electric flux through that surface is calculated. Finally, using the electric flux and the enclosed charge, the electric field at the point can be determined using Gauss' Law.
Yes, there are some limitations to using Gauss' Law. As mentioned earlier, it can only be used in situations with high symmetry and for static charge distributions. Additionally, it is not applicable for situations with changing magnetic fields or for non-stationary charge distributions. In these cases, other laws and principles such as Faraday's Law and Ampere's Law must be used.