Gauss' law to calculate electric potential

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To calculate the electric potential as a function of distance r from an isolated charge Q in 5-dimensions, one must first determine the surface area of a 5D sphere. The electric field E can then be expressed using the formula E = Q / (ε₀ x Surface Area), leveraging the concept of hyperspherical symmetry. This approach maintains the principles of Gauss' law in higher dimensions. Understanding the geometry of 5D space is crucial for accurate calculations. The discussion emphasizes the importance of adapting classical physics concepts to multi-dimensional frameworks.
DanielO_o
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I would appreciate hints on how one can calculate the dependence of the electric potential as a function of distance r from an isolated charge Q in 5-dimensions
 
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You need to find the surface area of a 5D sphere, then use the relation that E = q / (epsilon_0 x Surface Area) - which holds true since spherical (hyperspherical?) symmetry is preserved.

http://en.wikipedia.org/wiki/4-sphere

Claude.
 

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