A question on E Flux and Fields

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SUMMARY

The discussion focuses on the electric field generated by two infinite charged sheets and the contrasting scenario of a conducting sphere embedded within another sphere. It establishes that the electric field between two infinite sheets of opposite charge is σ/ε0 due to superposition. However, in the case of a conducting sphere, the field inside a spherically symmetric charge shell is zero, which complicates the application of superposition. The participants clarify that while superposition applies, the unique properties of spherical symmetry prevent a straightforward application of the concept.

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Homework Statement


1. The field for an infinite charged sheet is found to be σ/2ε0. If we place 2 infinite sheets of opposite charge above one another, we say that the field in between the sheets is σ/ε0 due to the superposition of individual fields.

Why can't we say the same for a situation where a conducting sphere is embedded in another, and there is charge Q on the outer surface on the inner sphere and -Q on the inner surface of the outer sphere? By same I mean applying superposition on fields by Q and -Q.

Homework Equations

The Attempt at a Solution


The only reason i could think of was that it was impossible (to me) to find a Gaussian surface capable of enclosing the charge on the inner surface on the outer sphere, which was hardly a rigorous explanation.

Any help is much appreciated!
 
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The fields in the case of the spheres are also a superposition of the individual fields. It is just that the field inside a spherically symmetric charge shell is zero.
 
Orodruin said:
The fields in the case of the spheres are also a superposition of the individual fields. It is just that the field inside a spherically symmetric charge shell is zero.

Apologies, but I might not have put the question across properly, it was in relation to this problem (part a).

I tried to solve by finding the field of the inner cylinder using flux, after which I was confused on whether or not i should be doing any "superposition" with the field by the inner surface of the outer cylinder. I then found out that that would've been a mistake, and the field was actually just due to the inner one.

E = Q/(2πrhε0)

Thank you for helping!
Screen Shot 2017-03-18 at 4.43.19 PM.png
 

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