Flux through various Gauss' surfaces

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Homework Help Overview

The discussion revolves around calculating electric flux through various Gaussian surfaces surrounding charged spheres, specifically comparing conducting and insulating materials. Participants explore the implications of charge distribution on flux calculations.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants question the distribution of charge in conducting versus insulating spheres and its effect on electric flux. They discuss whether the charge in an insulating sphere is uniformly distributed and how this impacts their calculations.

Discussion Status

Some participants have offered guidance on assuming uniform charge distribution in insulating materials. There is an ongoing exploration of the relationships between different flux values, with participants attempting to rank them based on their reasoning.

Contextual Notes

Participants note the challenge of determining exact values for certain cases and the need to consider volume when comparing flux through different surfaces. There is also a mention of homework constraints regarding the approach to the problem.

vysero
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Homework Statement



I have uploaded a file that shows the question.[/B]

Homework Equations



I believe the only relevant equation is: flux = Q(enclosed)/E(knot)[/B]

The Attempt at a Solution



Well I have some questions first. The problem statement says that the sphere on the left has a net charge Q. I was under the assumption that all of the charge for a conducting sphere would be located on the outside of the sphere is this true? Does it matter that the sphere is made of a conducting vs insulating material? My attempt:

A- No flux because no charge is enclosed.
B- (Q/2)/E(knot)

Now for the second sphere (the insulating material). Here I am not sure what the difference is as I said before. I know that if the question were regarding charge then I would need to deal with density. However, the question is about flux, so I guess my question is this: In an insulating material is the charge Q evenly distributed throughout the sphere? Or can I still say:

D- Zero
E- (Q/2)/E(knot)[/B]

As for C, I am not sure what to do with C.

 

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vysero said:

Homework Statement



I have uploaded a file that shows the question.[/B]

Homework Equations



I believe the only relevant equation is: flux = Q(enclosed)/E(knot)[/B]

The Attempt at a Solution



Well I have some questions first. The problem statement says that the sphere on the left has a net charge Q. I was under the assumption that all of the charge for a conducting sphere would be located on the outside of the sphere is this true? Does it matter that the sphere is made of a conducting vs insulating material? My attempt:

A- No flux because no charge is enclosed.
B- (Q/2)/E(knot)

Now for the second sphere (the insulating material). Here I am not sure what the difference is as I said before. I know that if the question were regarding charge then I would need to deal with density. However, the question is about flux, so I guess my question is this: In an insulating material is the charge Q evenly distributed throughout the sphere? Or can I still say:

D- Zero
E- (Q/2)/E(knot)[/B]

As for C, I am not sure what to do with C.

You'll want to assume that the charge is distributed uniformly through the insulating sphere. Work using that assumption. You won't be able to compute the charge in C exactly, you just need to figure out whether it's greater or less than the others.
 
Dick said:
You'll want to assume that the charge is distributed uniformly through the insulating sphere. Work using that assumption. You won't be able to compute the charge in C exactly, you just need to figure out whether it's greater or less than the others.

Okay so how does this sound:

E=B>D=C>A

I was trying to think about D and C. Correct me if I am wrong but I think there volume is equal.
 
vysero said:
Okay so how does this sound:

E=B>D>C>A

Sounds ok to me.
 
Dick said:
Sounds ok to me.

Sorry I correct my post to late so is it going to be:

E=B>D>C>A or are D and C equal?
 
vysero said:
Sorry I correct my post to late so is it going to be:

E=B>D>C>A or are D and C equal?

Why would you think D and C are equal?
 
Well if V of the larger circle is 4/3pR^3
Dick said:
Why would you think D and C are equal?

Yeah I don't anymore sorry I wasn't thinking straight :D Thanks for your help!
 

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