A simple application of operator algebra is considered in order to deal with a typical problem of electrostatics: a spherical conductor embedded in a uniform external field. Laplace equation in vacuum is solved by means of this powerful technique in a very elegant form. Field lines of the electrostatic field in presence of the conductor are derived.
Heavyside’s approach to an elliptical PDE in a significant physical problem
QUARTIERI, Joseph;TROISI A;GUARNACCIA, CLAUDIO;D'AMBROSIO, SALVATORE
2008
Abstract
A simple application of operator algebra is considered in order to deal with a typical problem of electrostatics: a spherical conductor embedded in a uniform external field. Laplace equation in vacuum is solved by means of this powerful technique in a very elegant form. Field lines of the electrostatic field in presence of the conductor are derived.File in questo prodotto:
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