The flux of any vector field across any closed surface in R3 equals 0.
t/f
If F is a vector field well-defined on the enitre R3 and such that divF=0, then the flux of F across any surface in R3 equals 0.
t/f
Can someone explain this...i guessed f for both, but I dont know if i'm right? Thanks!
t/f
If F is a vector field well-defined on the enitre R3 and such that divF=0, then the flux of F across any surface in R3 equals 0.
t/f
Can someone explain this...i guessed f for both, but I dont know if i'm right? Thanks!
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For question 1, the answer is true. See the link below for an explanation. Basically the flow through a closed loop must equal 0, since if something is coming in it must be going out elsewhere. At least for magnetic flux, but I'm not sure what "flux" alone refers to.
I'm not sure what R3 means, but I think question 2 is false. If div(F) = 0, the field is not expanding at all; however, this just means it's not growing and not that it equals 0 at any or every given point.
I'm not sure what R3 means, but I think question 2 is false. If div(F) = 0, the field is not expanding at all; however, this just means it's not growing and not that it equals 0 at any or every given point.