- #31
AHSAN MUJTABA
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- 4
but it doesn't play part in charge density and other calculations as it is just a constantPhDeezNutz said:
Solving Poisson's equation ##\nabla^2\psi##
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Homework Help Overview
The discussion revolves around solving Poisson's equation, specifically in the context of a potential defined above an infinite plane. Participants explore the use of the method of images and separation of variables, questioning the appropriateness of each approach given the boundary conditions.
Discussion Character
- Exploratory, Assumption checking, Conceptual clarification
Approaches and Questions Raised
- Participants discuss the method of images as a potential solution technique, questioning its necessity versus solving Poisson's equation directly. There are inquiries about the uniqueness of solutions and the implications of boundary conditions on the potential.
Discussion Status
The discussion is active, with participants sharing insights about the uniqueness theorem and its relevance to the problem. Some suggest that the method of images is likely the intended approach, while others express confusion about how to incorporate boundary conditions effectively.
Contextual Notes
There is mention of a constant potential on the plane and the need to satisfy specific boundary conditions. Participants also note the potential for different interpretations of the problem setup, particularly regarding the role of image charges and the implications of the potential at infinity.
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