Determining electric field using gauss's law--different distributions

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Homework Help Overview

The discussion revolves around determining the applicability of Gauss's law for calculating the electric field in relation to four different charge distributions. Participants are exploring the conditions under which Gauss's law can be effectively applied, particularly focusing on symmetry and surface considerations.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are considering the role of symmetry in applying Gauss's law and questioning whether certain distributions can be analyzed using this law. There is discussion about the nature of the charge distributions and the implications for electric flux.

Discussion Status

Some participants have offered hints regarding the importance of symmetry in using Gauss's law effectively. There is an ongoing exploration of which distributions may or may not be suitable for analysis, with specific mention of distributions A and D being problematic compared to B and C.

Contextual Notes

Participants are grappling with the definitions and characteristics of the charge distributions, particularly in relation to surface area and symmetry, which are critical for applying Gauss's law. There is an acknowledgment of the limitations posed by certain configurations.

Helenah
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Homework Statement
We are supposed to determine which (if any) of the distributions will need to/could use Gauss's law to determine the electric field
Relevant Equations
flux = Q/electric constant = EA
Screen Shot 2021-03-18 at 11.41.03 PM.png

These are the 4 distributions shown, and I have to determine which two distributions (or none at all) can use Gauss's law to determine the electric field.

So electric flux = EA = Q/electric constant.

Since all of them have charges, I could do something like Q/(A*electric constant) to get the electric field—that's where I'm confused, because I think I could actually use Gauss's law on all four of them. The only other way I can think of is that Gauss's law is applied to surfaces so that probably excludes lines (A) and disks (D), which do not really have surface area.
Am I right in thinking so? Is there a better / correct way to get to the answer?
 
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You perhaps need to think about how you would practically use Gauss's law to determine the electric field.

Hint: think about symmetry.
 
@PeroK
Hmm. Distribution A could potentially be viewed as line of charge + imaginary cylinder to get some electric field, but the charges aren't symmetric and hence will not be able to use gauss's law (?).
I'm not sure where else it's not symmetric though.
 
Helenah said:
@PeroK
Hmm. Distribution A could potentially be viewed as line of charge + imaginary cylinder to get some electric field, but the charges aren't symmetric and hence will not be able to use gauss's law (?).
I'm not sure where else it's not symmetric though.
The trick to use Gauss's law effectively is to have a surface across which the electric flux must be constant.

Your intuition is right that A and D are problematic and B and C are better. Can you explain more clearly how you do things in cases B and C?
 

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