(0,-1,0) AZ (-1,0,0) y (0,1,0) L₁ (1,0,0) XX (1,0,0) XX For part (b). Z (0,0,1) (-1,0,0) L2 (0,0,-1) For part (c) E=yêu, – Tây [V/m]. 3. A vector field E is given by (b) [10] For the field E above, what is the integral E.dl L1 where, as depicted on the previous page, L₁ is a square that is 2 m to a side, is in the .xy plane and centered about the z axis, has its sides parallel to (or orthogonal to) the x and y axes, and the path is in the counterclockwise direction when viewed from above? (c) [10] For the field E above, what is the integral f E-de where, as depicted on the previous page, L2 is a square that is 2 m to a side, is in the xz plane and centered about the y axis, has its sides parallel to (or orthogonal to) the x and z axes, and the path is in the counterclockwise direction when viewed from the positive y direction? The answers to (b) and (c) can be obtained in a couple of different ways. Stokes's theorem could be useful either to obtain answers or to check your work.

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
(0,-1,0)
AZ
(-1,0,0)
y
(0,1,0)
L₁
(1,0,0)
XX
(1,0,0)
XX
For part (b).
Z
(0,0,1)
(-1,0,0)
L2
(0,0,-1)
For part (c)
E=yêu, – Tây [V/m].
3. A vector field E is given by
(b) [10] For the field E above, what is the integral
E.dl
L1
where, as depicted on the previous page, L₁ is a square that is 2 m to a side, is in the .xy
plane and centered about the z axis, has its sides parallel to (or orthogonal to) the x and
y axes, and the path is in the counterclockwise direction when viewed from above?
(c) [10] For the field E above, what is the integral
f
E-de
where, as depicted on the previous page, L2 is a square that is 2 m to a side, is in the
xz plane and centered about the y axis, has its sides parallel to (or orthogonal to) the
x and z axes, and the path is in the counterclockwise direction when viewed from the
positive y direction?
The answers to (b) and (c) can be obtained in a couple of different ways. Stokes's theorem
could be useful either to obtain answers or to check your work.
Transcribed Image Text:(0,-1,0) AZ (-1,0,0) y (0,1,0) L₁ (1,0,0) XX (1,0,0) XX For part (b). Z (0,0,1) (-1,0,0) L2 (0,0,-1) For part (c) E=yêu, – Tây [V/m]. 3. A vector field E is given by (b) [10] For the field E above, what is the integral E.dl L1 where, as depicted on the previous page, L₁ is a square that is 2 m to a side, is in the .xy plane and centered about the z axis, has its sides parallel to (or orthogonal to) the x and y axes, and the path is in the counterclockwise direction when viewed from above? (c) [10] For the field E above, what is the integral f E-de where, as depicted on the previous page, L2 is a square that is 2 m to a side, is in the xz plane and centered about the y axis, has its sides parallel to (or orthogonal to) the x and z axes, and the path is in the counterclockwise direction when viewed from the positive y direction? The answers to (b) and (c) can be obtained in a couple of different ways. Stokes's theorem could be useful either to obtain answers or to check your work.
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