Consider a vector field Å = xy²zâ + xyz²ŷ + x"yzî and a cylinder with height h and circular sides (top and bottom surface) of radius R. The cylinder is centered at origin and aligned along the z-axis, i.e., the circular surfaces are centered by the z-axis. n is a real number. (1) Perform Ā·ds over the cylinder.
Consider a vector field Å = xy²zâ + xyz²ŷ + x"yzî and a cylinder with height h and circular sides (top and bottom surface) of radius R. The cylinder is centered at origin and aligned along the z-axis, i.e., the circular surfaces are centered by the z-axis. n is a real number. (1) Perform Ā·ds over the cylinder.
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*Without using divegence theorem*
Transcribed Image Text:Consider a vector field Å = xy²zâ + xyz²ŷ + x"yzî and a cylinder with height h and
circular sides (top and bottom surface) of radius R. The cylinder is centered at origin and
aligned along the z-axis, i.e., the circular surfaces are centered by the z-axis. n is a real number.
(1) Perform f A·ds over the cylinder.
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