Find the electric field of a potential function given by 20 log x + y at the point (1,1,0).(a) -20 i – j(b) -i -20 j(c) i + j(d) (i + j)/20This question was addressed to me in exam.The doubt is from Poisson and Laplace Equation topic in section Electrostatic Boundary Value Problem of Electromagnetic Theory

Find the electric field of a potential function given by 20 log x + y

1.	Find the electric field of a potential function given by 20 log x + y at the point (1,1,0).(a) -20 i – j(b) -i -20 j(c) i + j(d) (i + j)/20This question was addressed to me in exam.The doubt is from Poisson and Laplace Equation topic in section Electrostatic Boundary Value Problem of Electromagnetic Theory
Answer» Correct OPTION is (a) -20 i – j The explanation: The electric field is given by E = -Grad(V). The gradient of the given function is 20I/x + j. At the point (1,1,0), we GET 20i + j. The electric field E = -(20i + j) = -20i – j.

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