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Find whether the vector is solenoidal, E = yz i + xz j + xy k(a) Yes, solenoidal(b) No, non-solenoidal(c) Solenoidal with negative divergence(d) Variable divergenceThe question was posed to me by my school teacher while I was bunking the class.This key question is from Divergence topic in portion Vector Calculus of Electromagnetic Theory

Answer»

Correct option is (a) Yes, solenoidal

To explain I would say: Div(E) = Dx(YZ) + Dy(xz) + DZ(XY) = 0. The divergence is zero, thus vector is divergentless or solenoidal.



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