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If a function is said to be harmonic, then(a) Curl(Grad V) = 0(b) Div(Curl V) = 0(c) Div(Grad V) = 0(d) Grad(Curl V) = 0The question was asked at a job interview.The doubt is from Laplacian Operator in division Vector Calculus of Electromagnetic Theory |
Answer» CORRECT option is (c) Div(GRAD V) = 0 The explanation is: Though option CURL(Grad V) = 0 & Div(Curl V) = 0 are also correct, for harmonic fields, the Laplacian of electric potential is zero. Now, Laplacian refers to Div(Grad V), which is zero for harmonic fields. |
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