Understanding Electric Field Graph: An In-Depth Explanation

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The discussion centers on understanding an electric field graph, particularly how to interpret its peculiarities. Participants express confusion about reading the graph and relate it to the formula E = (Kq)/r^2. Gauss's law is suggested as a key concept for understanding the electric field distribution, especially regarding the influence of a point charge within a shell. It's noted that the electric field inside the shell is affected solely by the central point charge, while the field outside is influenced by both the central charge and the shell's charges. Clarifying these concepts is essential for a comprehensive understanding of electric fields.
Zythyr
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I am not really sure how to approach this problem. I have no idea how to do it. I can't understand how to read this graph.

E = (Kq)/r^2
 
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Yes, this graph is very peculiar at first, and it took me a few minutes to realize what was going on. [Hint: Think about Gauss's law.]
 
I am thinking about Gauss's law, but I still can't figure it out.
 
The field inside the shell is due to the point charge at the center of the shell only while out side the shell is due to the charges at the center and on the shell..
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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