Solving Gauss' Law Problem for Varying Electric Fields

In summary, the conversation discusses the concept of a region in space with an electric field along the positive x direction that varies with the space coordinate. It is questioned whether a varying electric field can be created in a region with only one direction without having a charge distribution over the entire space. The use of Gauss's law is suggested to determine the presence of charge inside a cube in space where the electric field crosses two faces at right angles. The conversation also addresses the use of capital letters and the potential misunderstanding of shouting through text.
  • #1
GAURAV DADWAL
37
1
I WAS THINKING ABOUT A REGION OF
SPACE WITH ELECTRIC FIELD ALONG
POSITIVE X DIRECTION AND Varying
WITH SPACE COORDINATE(x)

NOW IF ONE IMAGINES A CUBE IN SPACE
SUCH THAT FIELD CROSSES ITS TWO FACES
AT RIGHT ANGLES ,A SIMPLE Application of
gauss law Indicates the presence of charge inside cube Does that means that one can't create varying electricFields in a region that possesses only one direction Without having charge distribution over whole of Space?
 
Physics news on Phys.org
  • #2
GAURAV DADWAL said:
I WAS THINKING ABOUT A REGION OF
SPACE WITH ELECTRIC FIELD ALONG
POSITIVE X DIRECTION AND Varying
WITH SPACE COORDINATE(x)

NOW IF ONE IMAGINES A CUBE IN SPACE
SUCH THAT FIELD CROSSES ITS TWO FACES
AT RIGHT ANGLES ,A SIMPLE
Please don't SHOUT

GAURAV DADWAL said:
Does that means that one can't create varying electricFields in a region that possesses only one direction Without having charge distribution over whole of Space?
Yes
 
  • Like
Likes GAURAV DADWAL
  • #3
Thnx
Dale said:
Please don't SHOUT

Yes
 
  • #4
Sorry man i don't know using caps indicate yelling
 

1. What is Gauss' Law and how does it relate to electric fields?

Gauss' Law is a fundamental law in electromagnetism that relates the electric field to the distribution of electric charges. It states that the electric flux through a closed surface is proportional to the total charge enclosed by that surface. In other words, it describes the relationship between the distribution of charges and the resulting electric field.

2. How do you solve Gauss' Law problems for varying electric fields?

The first step in solving Gauss' Law problems for varying electric fields is to identify the symmetry of the system. This will help determine the appropriate Gaussian surface to use. Next, calculate the electric flux through the chosen surface. Then, equate the electric flux to the total charge enclosed by the surface and solve for the electric field at the desired point.

3. What are some common types of symmetry that can be used to solve Gauss' Law problems?

Some common types of symmetry that can be used in solving Gauss' Law problems include spherical symmetry, cylindrical symmetry, and planar symmetry. These symmetries allow for simplification of the calculations and make it easier to determine the appropriate Gaussian surface to use.

4. How do you account for varying electric fields in Gauss' Law problems?

In Gauss' Law problems with varying electric fields, the electric flux through the Gaussian surface must be calculated by taking the dot product of the electric field and the infinitesimal surface element. This takes into account the changing direction and magnitude of the electric field at different points on the surface.

5. What are some real-world applications of solving Gauss' Law problems for varying electric fields?

Solving Gauss' Law problems for varying electric fields is crucial in many real-world applications, such as designing electrical circuits, analyzing the electric fields around different objects, and understanding the behavior of charged particles in electric fields. It also has applications in fields such as optics, plasma physics, and engineering.

Similar threads

I Gauss' law and an object with nonuniform charge distribution
    • Classical Physics
Replies
8
Views
804
B Determining whether the non-integral form of Gauss' law applies
    • Classical Physics
Replies
1
Views
676
I Proving Gauss' Law using a Cubical Surface
    • Classical Physics
Replies
5
Views
2K
No Electric Charges if No Electric Field in Region
    • Introductory Physics Homework Help
Replies
12
Views
1K
I Why Do We Consider External Electric Fields in Gauss' Law Calculations?
    • Classical Physics
Replies
5
Views
2K
Gauss' Law for a conducting / non-conducting sheet
    • Introductory Physics Homework Help
Replies
5
Views
203
I Thought I Understood Gauss' Law (Sheets)
    • Introductory Physics Homework Help
Replies
26
Views
554
I Gauss' theorem and inverse square law
    • Classical Physics
Replies
2
Views
4K
Gauss' law in line integral, Q=##ϵ_0 ∮E.n dl=-ϵ_0 ∮∂ϕ/∂n dl##
    • Electrical Engineering
Replies
2
Views
746
Gauss' law and Faraday cage problem
    • Introductory Physics Homework Help
Replies
10
Views
715

Hot Threads

Recent Insights

Back
Top