Bulg. J. Phys. vol.48 no.2 (2021), pp. 202-224

Image Charges Re-Imagined

H. Alshal1,2, T.L. Curtright2, S. Subedi2
1Department of Physics, Cairo University, Giza, 12613, Egypt
2Department of Physics, University of Miami, Coral Gables, FL 33124-8046, USA
Abstract. We discuss the grounded, equipotential ellipse in two-dimensional electrostatics to illustrate different ways of extending the domain of the potential and placing image charges such that homogeneous boundary conditions are satisfied. In particular, we compare and contrast the Kelvin and Sommerfeld image methods. We present our discussion at a level suitable for use in advanced undergraduate and introductory graduate courses on electrostatics, as a supplement to more traditional material on image methods.

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