A vector field is pointed along the z-axis, v → = α /x2 + y2 z ^ . (a) Find the flux of the vector field through a rectangle in the xy-plane between a < x < b and c < y < d . (b) Do the same through a rectangle in the yz-plane between a < z < b and c < y < d . (Leave your answer as an integral.)

A vector field is pointed along the z-axis, v → = α /x2 + y2 z ^ . (a) Find the flux of the vector field through a rectangle in the xy-plane between a < x < b and c < y < d . (b) Do the same through a rectangle in the yz-plane between a < z < b and c < y < d . (Leave your answer as an integral.)

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 26P: A vector field is pointed along the z-axis, v=ax2+y2z . (a) Find the flux of the vector field...

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