The balancing point between two point charges

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The discussion focuses on determining the point of zero electric potential between a negative charge of -0.03 C and a positive charge of 0.27 C, separated by 1 meter. Participants highlight the need to establish the distances from the point of interest to each charge, as the potential is influenced by their respective magnitudes and distances. The equation kq/d = kq/D is suggested to find the balance point, emphasizing that two different distances must be considered. The conversation also notes that textbooks may not explicitly cover this scenario, necessitating additional equations for a complete solution. Understanding the relationship between charge magnitudes and distances is crucial for solving this problem.
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Where is the potential zero?

1. Where is the potential zero between a negative (-.03c) and a positive charge (.27) separated by 1 meter?
2. Point charges laws
3. My textbook doesn't mention where is potential zero between two charges, it's easy to solve if i know the point is in between or outside and which point charge is it closer to, kq/d=kq/d
 
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hints;

\frac{k\cdot 0,27}{d}+\frac{k\cdot (-0,03)}{D}=0

two different d.

And you need another equation...
 
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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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