What Are the Boundary Conditions for E and V at a Conductive Surface?

In summary, the conversation discusses a question regarding appropriate boundary conditions in an Electromagnetism assignment. The question asks to show that the potential and electric field determined for a hollow conductive sphere with a point charge system satisfy the appropriate boundary conditions at the surfaces of the sphere. The speaker speculates that the question is referring to the properties of the perpendicular and parallel components of the electric field at the conducting surface.
  • #1
sluthy
1
0
"Appropriate boundary conditions"...?

I am stumped by a question in my Electromagnetism asignment that asks, after determining the potential (V) and electric field (E) of a hollow conductive sphere containing a point charge system, to "show that E and V satisfy the appropriate boundary conditions at the surfaces of the sphere." What does it mean by "boundary conditions"? What is the question asking me to prove/show?
 
Physics news on Phys.org
  • #2
I believe they are referring to the perpendicular and parallel components of the electric field E at the conducting surface. E and B have particular properties at the surface of a conductor. Quiz question -- what are those properties?
 

FAQ: What Are the Boundary Conditions for E and V at a Conductive Surface?

What are boundary conditions?

Boundary conditions are defined as the set of constraints or specifications that must be satisfied at the boundaries of a system or a physical phenomenon. They determine the behavior of the system at its edges or limits.

Why are boundary conditions important?

Boundary conditions are important because they provide information about the external forces or conditions that affect the behavior of a system. They are necessary for accurately modeling and predicting the behavior of a system in a given environment.

How do you determine appropriate boundary conditions?

Appropriate boundary conditions are determined by considering the physical and mathematical properties of the system and its environment. They should be based on the known or measurable parameters that affect the system and should be consistent with the laws of physics.

What happens if boundary conditions are not properly defined?

If boundary conditions are not properly defined, it can lead to inaccurate or unrealistic predictions of the system's behavior. This can result in incorrect conclusions or decisions being made based on the model.

Can boundary conditions change over time?

Yes, boundary conditions can change over time as the system or its environment changes. It is important to regularly reassess and update boundary conditions to ensure the accuracy and relevance of the model.

Similar threads

Exploring Electric Field Boundaries at a Charge Density Boundary
Replies
2
Views
2K
Boundary Value and Separation of Variables.
Replies
1
Views
997
Bessel Function Boundary Condition on the top of a Cylinder
Replies
13
Views
3K
Topological insulators and their optical properties
Replies
1
Views
1K
Conductor sphere floating on a dielectric fluid
Replies
1
Views
3K
Question about the classic Image Problem
Replies
3
Views
2K
Boundary conditions for eigenfunctions in a potential step
Replies
1
Views
2K
Boundary conditions for a step potential
Replies
1
Views
2K
3-D Planar Method of Images Boundary Problem
Replies
2
Views
1K
What Are the Boundary Conditions for l=0 with Negative Energy?
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top