Calculating Flux for Hemispheres of Different Radii

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Homework Help Overview

The discussion revolves around calculating the electric flux through three different surfaces associated with two hemispherical surfaces centered around a point charge. The problem involves understanding the electric field generated by the charge and how it interacts with the defined surfaces.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster expresses confusion regarding the relationship between the provided images and the three surfaces involved in the problem. They are attempting to understand the scenario before seeking further assistance.

Discussion Status

Participants are engaged in clarifying the visual representation of the problem and its components. There is an indication that guidance has been offered regarding the images, but no consensus or resolution has been reached yet.

Contextual Notes

The original poster mentions a desire to solve the problem independently before asking for help, indicating a potential constraint in seeking direct assistance. The nature of the images and their relevance to the problem is also under discussion.

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Homework Statement



For some reason, I'm not quite understanding this scenario.

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32005.jpg


Two hemispherical surfaces, 1 and 2, of respective radii r1 and r2, are centered at a point charge and are facing each other so that their edges define an annular ring (surface 3), as shown. The field at position [tex]\vec{r}[/tex] due to the point charge is:

[tex]\vec{E}[/tex]([tex]\vec{r}[/tex])= [C/(r^2)]*[tex]\hat{r}[/tex]

where C is a constant proportional to the charge, r=|[tex]\vec{r}[/tex]|, and [tex]\hat{r}[/tex]=[tex]\vec{r}[/tex]/r is the unit vector in the radial direction. "

I'm supposed to find electric flux through the three different surfaces, but for some reason, this picture just doesn't make sense to me.


Homework Equations



Electric flux is the integral of the dot product of electric field and dA (differential area element).



The Attempt at a Solution



I want to try figuring it out on my own first before I ask for help, but I don't quite understand this scenario. For example, I don't understand how the two images provided correlate, and I don't understand what the three different surfaces are. Sorry if the answer to this is obvious. ><
 
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You don't need to open it. It's just an image to help you understand the surfaces.
 

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