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A method to solve certain differential equations on a domain by putting image sources outside the domain to fulfill [boundary-conditions] on the boundary. Common applications can be found in [electrostatics], [magnetostatics] or [acoustics].

2 votes

Method of images / charge density uniqueness

But how can a collection of point charges recreate a continuous charge distribution? The method of images emphasizes the uniqueness of the solutions, and I think that because $V$ is uniquely determin …
knzhou's user avatar
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3 votes
Accepted

Factor of 2 difference in force using image charges?

The resolution is that the image charge doesn't exist, so it doesn't take any "work" to "move" it. More specifically, the image charge represents the effect of all the surface charges distributed on t …
knzhou's user avatar
  • 105k
1 vote

Gauss law and the method of images

The method of images is only used here to determine the electric field is inside the sphere. In particular, a uniform surface charge density on the sphere produces no field at all inside the sphere, b …
knzhou's user avatar
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