This page covers Laplace's equation in static electric and magnetic fields, focusing on solving it via separation of variables in various coordinate systems, including Cartesian, cylindrical, and sphe...This page covers Laplace's equation in static electric and magnetic fields, focusing on solving it via separation of variables in various coordinate systems, including Cartesian, cylindrical, and spherical coordinates. It explores how different boundary conditions lead to unique solutions, using specific examples like conducting cylinders and spheres with sinusoidal voltage distributions.
