aruna1
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Homework Statement
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
Both conservative and solenoidal vector field
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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
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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.
aruna1
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HallsofIvy said:
well i thouhgt if A is only conservative
then
[itex]A= \nabla \phi[/itex] (according to my textbook)
not
[itex]A= -\nabla \phi[/itex]
so what is right?
