How to find electric field given points of electric potentia

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SUMMARY

The discussion centers on calculating the electric field given two points of electric potential: one at 0V and another at 1V. The user seeks to determine the electric potential and field at any other point using only the coordinates of these two points. The conversation highlights the need for advanced concepts such as the delta function and the Laplace equation, while also questioning the applicability of Maxwell's equations under the assumption of no other charges in the universe.

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  • Understanding of electric potential and electric field concepts
  • Familiarity with Maxwell's equations
  • Knowledge of the Laplace equation
  • Basic principles of delta functions in physics
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  • Research the implications of Maxwell's equations in charge-free environments
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Erwin Derek
I have what at first seems like a very simple problem, yet I have no clue how to solve it.

There is 1 point defined to have 0V, and another point has exactly 1V. Assume there is nothing else in the universe.

https://i.imgur.com/iv9oL5j.png

How do I find the electric potential and field at any other point, assuming all I know is the coordinates of these two points?

Would this require delta function / laplace equation or something?
 
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Erwin Derek said:
Assume there is nothing else in the universe.
Do you mean to assume that there are no charges anywhere in the universe? I am not sure that there is a solution to Maxwell's equations that fits your requirements here
 

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