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Both conservative and solenoidal vector field 
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#1
Nov1208, 07:19 AM

P: 111

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 


#2
Nov1208, 07:43 AM

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Thanks
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P: 39,569

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.



#3
Nov1208, 08:42 AM

P: 111

then [itex]A= \nabla \phi[/itex] (according to my text book) not [itex]A= \nabla \phi[/itex] so what is right? 


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