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Poisson’sEquationinElectrostatics

poisson s Equation in ElectrostaticsJinn-Liang LiuInstitute of Computational and Modeling Science, NationalTsing Hua University,Hsinchu 300, Taiwan. E-mail: 2010, 2011, 2012, 2017 AbstractPoisson s equation is derived from Coulomb s law and Gauss s theorem. It is a par-tial differential equation with broad utility in electrostatics, mechanical engineer-ing, and theoretical physics. It is named after the French mathematician, geometerand physicist Sim eon-Denis poisson (1781-1840). CharlesAugustin Coulomb (1736-1806) was a French physicist who discovered an inverse relationship on the forcebetween charges and the square of its distance. Karl Friedrich Gauss (1777-1855)was a German mathematician who also proved the fundamental theorems of algebraand Coulomb s Law, Electric Field, and Electric PotentialElectrostaticsis the branch of physics that deals with the forces exertedby a static ( unchanging) electric field upon charged objects [1].

Poisson’sEquationinElectrostatics Jinn-LiangLiu Institute of Computational and Modeling Science, National Tsing Hua University, Hsinchu 300, Taiwan.

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