8. A vector field F is given in cylindrical polar coordinates by F(p₁6, 2) == cos(7²)₂ Find the outward flux of F across the curved surface of a cylinder of radius a and height h located with its centre at the origin and its axis on the z axis. Find also the outward flux of F across the plane end faces of the cylinder. What is the next outward flux of F across the whole cylinder?

8. A vector field F is given in cylindrical polar coordinates by F(p₁6, 2) == cos(7²)₂ Find the outward flux of F across the curved surface of a cylinder of radius a and height h located with its centre at the origin and its axis on the z axis. Find also the outward flux of F across the plane end faces of the cylinder. What is the next outward flux of F across the whole cylinder?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

8. A vector field F is given in cylindrical polar coordinates by
F(p, Ó, z) = ª cos (7²)p
ㅠ
P
Find the outward flux of F across the curved surface of a cylinder of radius
a and height h located with its centre at the origin and its axis on the z axis.
Find also the outward flux of F across the plane end faces of the cylinder.
What is the next outward flux of F across the whole cylinder?

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