Find the flux of the vector field of Exercise 13 out of the
Question and Solution
Find the flux of the vector field of Exercise 13 out of the box 1 x; y; z 2. Note: This problem can be solved very easil
78 % (263 Review)
Find the flux of the vector field of Exercise 13 out of the box 1 x; y; z 2. Note: This problem can be solved very easily using the Divergence Theorem of Section 16.4; the required flux is, in fact, zero. However, the object here is to do it by direct calculation of the surface integrals involved, and as such it is quite difficult. By symmetry, it is sufficient to evaluate the net flux out of the cube through any one of the three pairs of opposite faces; that is, you must calculate the flux through only two faces, say z D 1 and z D 2. Be prepared to work very hard to evaluate these integrals! When they are done, you may find the identities 2 arctan a D arctan 2a=.1 ? a2/ and arctan a C arctan .1=a/ =2 useful for showing that the net flux is zero.
Your answer will be ready within 2-4 hrs. Meanwhile, check out other millions of Q&As and Solutions Manual we have in our catalog.
Crazy for Study is a platform for the provision of academic help. It functions with the help of a team of ingenious subject matter experts and academic writers who provide textbook solutions to all your course-specific textbook problems, provide help with your assignments and solve all your academic queries in the minimum possible time.
Copyright@2020 Crazy Prep Pvt. Ltd. (Crazy For Study)
Disclaimer: Crazy For Study provides academic assistance to students so that they can complete their college assignments and projects on time. We strictly do not deliver the reference papers. This is just to make you understand and used for the analysis and reference purposes only.