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About Solutions To Laplace's Equations-II
This document discusses solutions to Laplace's equations in spherical coordinates. It presents the general form of solutions as separable functions of radius, azimuthal angle, and polar angle. Specific cases are considered, such as when there is azimuthal symmetry. Legendre polynomials arise as solutions to associated differential equations and spherical harmonics are introduced as products of Legendre polynomials and azimuthal functions. Examples are provided of determining potentials both inside and outside a charged spherical shell or sphere.
Detailed Information
| Author: | ['gopal'] |
|---|---|
| Publication Year: | 2015 |
| Pages: | 10 |
| Language: | English |
| Format: | |
| Price: | FREE |
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