Discuss the application and benefits of the Poisson and Laplace’s equations when solving…

➤ How do boundary conditions and the uniqueness theorem help solve for capacitance?
You set Dirichlet conditions on conductor surfaces (fixed potentials) and Neumann conditions where surface charge or flux is known. The uniqueness theorem guarantees the computed potential is the physical solution. Proper boundary handling lets you extract surface charge, calculate capacitance matrix elements, and account for symmetry or grounded boundaries accurately.