Evaluate [[ F · ndS (i.e., find the flux of F across S) where F(x, y, z)=-y, x, z² > and S is the hemisphere x² + y² +z? = 4, z >0 oriented in the direction of the positive z-axis (upward).

University Physics Volume 2
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Chapter6: Gauss's Law
Section: Chapter Questions
Problem 54P: Charge is distributed throughout a very long cylindrical volume of radius R such that the charge...
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Evaluate [ F i
nds (i.e., find the flux of F across S) where F(x, y, z)=<-y, x, z² > and S is the
у,
hemisphere x +y² +z? = 4, z >0 oriented in the direction of the positive z-axis (upward).
Transcribed Image Text:Evaluate [ F i nds (i.e., find the flux of F across S) where F(x, y, z)=<-y, x, z² > and S is the у, hemisphere x +y² +z? = 4, z >0 oriented in the direction of the positive z-axis (upward).
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