2. A field v(x, y, z) is said to be irrotational if [V X vl = 0. Which of the following fields are irroota- tional? (a) Vz = by Vy = 0 0 = '2 ひ;= 0 (b) vz = bx ひ,=0 hq = *a () Vy = bx ひ, = bx %3D Vz = 0 (d) ひ; = -by Vz = 0 3. Evaluate (V · v), Vv, and [V• vv] for the four fields in Exercise 2.
2. A field v(x, y, z) is said to be irrotational if [V X vl = 0. Which of the following fields are irroota- tional? (a) Vz = by Vy = 0 0 = '2 ひ;= 0 (b) vz = bx ひ,=0 hq = *a () Vy = bx ひ, = bx %3D Vz = 0 (d) ひ; = -by Vz = 0 3. Evaluate (V · v), Vv, and [V• vv] for the four fields in Exercise 2.
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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Solve a problem 3 for a field d, from problem 2. Thank you
![2. A field v(x, y, z) is said to be irrotational if [V × vl = 0. Which of the following fields are irrota-
tional?
(a) Vz = by
Vy = 0
0 = ²2
Vz = 0
(b) vz = bx
%3D
Vy = 0
(c) Vz = by
Vy
= bx
0 = 32
Vz = 0
(d) ひ; = -by
Vy = bx
odT ha eslol2 sdT
3. Evaluate (V · v), Vv, and [V • vv] for the four fields in Exercise 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65a54057-de91-4407-81dc-84071bb6029d%2F770fef9a-1494-49c4-ba00-fea1d3b0890c%2F6kq7rwh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. A field v(x, y, z) is said to be irrotational if [V × vl = 0. Which of the following fields are irrota-
tional?
(a) Vz = by
Vy = 0
0 = ²2
Vz = 0
(b) vz = bx
%3D
Vy = 0
(c) Vz = by
Vy
= bx
0 = 32
Vz = 0
(d) ひ; = -by
Vy = bx
odT ha eslol2 sdT
3. Evaluate (V · v), Vv, and [V • vv] for the four fields in Exercise 2.
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