Some question about gauss's law in Catesian Coordinate

In summary, the conversation is about understanding Gauss's law in Cartesian coordinates. The speaker asks about when to use Gauss's law and its integral, the difference between using cylindrical or cube shapes, whether a symmetric Gaussian shape should be used for a disturbed plane, how to define the direction of the electric field, and for a reference with examples of Gauss's law in Cartesian coordinates.
  • #1
baby_1
159
15
Hello
I have some questions to understand much more better the Gauss's law in Cartesian coordinate.
1-when can we use Gauss's law and it's integral to solve a question easier in Cartesian coordinate?
gif.latex?%5Cint%20%28%5Cvec%7BD%7D.%5Cvec%7Bds%7D%29%3DQ_%7Bin%7D.gif

2-Is it difference to use a cylindrical or cube shape for a plane that disturbed some charges(P0) on it?
3-If we want to use Gauss's law for a plane we should use symmetric Gaussian shape or not?(see these two pictures)
1917937500_1413456707.jpg

or
9500577400_1413456706.png

4-Should we define electric filed direction ? if yes , how should define electric filed direction?
(some examples a,b) it's direction is it related where we want to define electric filed value?
(a)
8208160600_1413457307.jpg

(b)
1917937500_1413456707.jpg
 
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  • #2
6-if there is no problem could you tell me a good reference with a lot of example about Gauss's law in Cartesian coordinate?
 

FAQ: Some question about gauss's law in Catesian Coordinate

What is Gauss's Law in Cartesian Coordinates?

Gauss's Law in Cartesian Coordinates is a mathematical law that describes the relationship between the electric field and the electric charge distribution in a three-dimensional space. It states that the electric flux through a closed surface is equal to the electric charge enclosed by that surface divided by the permittivity of free space.

How is Gauss's Law applied in Cartesian Coordinates?

Gauss's Law in Cartesian Coordinates is applied by creating a closed surface around the charge distribution and calculating the electric flux through that surface. The electric flux is then related to the charge enclosed by the surface and the permittivity of free space.

What is the significance of using Cartesian Coordinates in Gauss's Law?

Cartesian Coordinates provide a convenient way to mathematically describe the relationship between the electric field and the electric charge distribution. It allows for the calculation of the electric flux and the determination of the electric field in a three-dimensional space.

Can Gauss's Law be applied in other coordinate systems?

Yes, Gauss's Law can be applied in other coordinate systems such as cylindrical and spherical coordinates. However, using Cartesian Coordinates is often the most straightforward approach for solving problems involving electric fields and charge distributions.

How is Gauss's Law related to Coulomb's Law?

Gauss's Law is a more general form of Coulomb's Law. Coulomb's Law only applies to point charges, while Gauss's Law can be applied to any charge distribution. Gauss's Law also allows for the calculation of the electric field at any point in space, while Coulomb's Law only gives the electric field at a specific point due to a point charge.

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