1. For the following velocity fields, determine if they are possible for incompressible flows and if they are irrotational: (a) V = î(x + y) + ĵ(x − y + z) + k(x + y + 3) (b) √ = î(xy) + ĵ(yz) + Â(yz + z²) (c) ▼ = î[x(y +z)] + ĵ[y(x + z)] + k[−(x + y)z – z²] (d) ▼ = î(xyzt) + ĵ(−xyzt²) + k[(z²/2) (xt² — yt)]

1. For the following velocity fields, determine if they are possible for incompressible flows and if they are irrotational: (a) V = î(x + y) + ĵ(x − y + z) + k(x + y + 3) (b) √ = î(xy) + ĵ(yz) + Â(yz + z²) (c) ▼ = î[x(y +z)] + ĵ[y(x + z)] + k[−(x + y)z – z²] (d) ▼ = î(xyzt) + ĵ(−xyzt²) + k[(z²/2) (xt² — yt)]

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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