1. The problem statement, all variables and given/known data if a vecor A is both solenoidal and conservative; is it correct that A=-▼Φ that is A=- gradΦ Φ is a scalar function thanks
If A is just a conservative vector field, then [itex]A= -\nabla \phi[/itex] for some scalar function [itex]\phi[/itex]. I'm not sure what requiring that it also be solenoidal adds.
well i thouhgt if A is only conservative then [itex]A= \nabla \phi[/itex] (according to my text book) not [itex]A= -\nabla \phi[/itex] so what is right?