In a cylindrical coordinate system a vector field is described as F = r²f+ 2rzk (a) Use the definition of the flux and calculate the flux passing through a cylinder of radius 2m and height 3m. (b) Use the divergence theorem to calculate the flux and compare your results.
In a cylindrical coordinate system a vector field is described as F = r²f+ 2rzk (a) Use the definition of the flux and calculate the flux passing through a cylinder of radius 2m and height 3m. (b) Use the divergence theorem to calculate the flux and compare your results.
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If you could explain steps on both and help me understand how to use and setup divergence theorem I wou
Transcribed Image Text:In a cylindrical coordinate system a vector field is described as
F = r²f+ 2rzk
(a) Use the definition of the flux and calculate the flux passing through a cylinder of
radius 2m and height 3m.
(b) Use the divergence theorem to calculate the flux and compare your results.
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This is awesome work and makes so much sense. The only thing I'm confused on is where the 1/r came from in part b in front of the partial with respect to r. Other than that thank you so much because this is better explanation than my profess
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