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Poisson equation can be derived from which of the following equations?(a) Point form of Gauss law(b) Integral form of Gauss law(c) Point form of Ampere law(d) Integral form of Ampere lawThis question was addressed to me during an internship interview.Question is from Poisson and Laplace Equation in division Electrostatic Boundary Value Problem of Electromagnetic Theory

Answer»

The correct option is (a) POINT form of GAUSS LAW

The best I can EXPLAIN: The point of Gauss law is given by, Div (D)= ρv. On putting

D= ε E and E=- Grad (V) in Gauss law, we get Del^2 (V)= -ρ/ε, which is the Poisson equation.



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