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Explain Poisson's and Laplace Equation.
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From point form of Gauss’s Law∇.ˉD=ρv∇.(εˉE)=ρv……ˉD=εˉEReverse relation b/w ∇ andˉEis:ˉE=−∇vTaking divergence on both sides,∇.ˉE=−∇(∇v)ρvε=−∇2v∇2v=−ρvε (POISSON' S EQUATION)If no charges is present,ρv=0∇2v=0 (LAPLACE EQUATION)