Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 1, Problem 1.3P
1.3 The
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I. Draw the vector A = 7ax - 6ay - 4az in the cartesian coordinate system below.
Find the following :
a. unit vector
b. p and o in cylindrical coordinate system
c. r, 0, and o in a spherical coordinate system.
Problem [2]
vector form.
In the figure below, write F= 1000 lb in the Cartesian
6 ft
4 ft
A,
F-1000 lb
B
3 ft
Explain the meaning of a uniform vector field. Provide an example of the vector field in Spherical coordinate system.
Fr
!!
Chapter 1 Solutions
Engineering Electromagnetics
Ch. 1 - If A represents a vector two units in length...Ch. 1 - Vector A extends from the origin to (1, 2, 3), and...Ch. 1 - 1.3 The vector from the origin to point A is given...Ch. 1 - A circle, centered at the origin with a radius of...Ch. 1 - An equilateral triangle lies in the xy plane with...Ch. 1 - Find the acute angle between the two vector...Ch. 1 - Given the field F=xax+yay. If F. G =2xy and FĂ— G...Ch. 1 - Prob. 1.8PCh. 1 - A field is given as G=[25/(x2+y2)](xax+yay). Find...Ch. 1 - Prob. 1.10P
Ch. 1 - Given the points M(0.1, -0.2, -0.1), N(-02, 0.1,...Ch. 1 - 1.21 Write an expression recrangu1ar components...Ch. 1 - Prob. 1.13PCh. 1 - Prob. 1.14PCh. 1 - Three vectors extending from the origin are given...Ch. 1 - Prob. 1.16PCh. 1 - Prob. 1.17PCh. 1 - Prob. 1.18PCh. 1 - Prob. 1.19PCh. 1 - Prob. 1.20PCh. 1 - Exercise in cylinder components ;(a) the vector...Ch. 1 - Prob. 1.22PCh. 1 - The surfaces p=3,p=5,=130o,z=3andz=4.5 define a...Ch. 1 - Two unit vectors, a1 and a2, lie in the xy plane...Ch. 1 - Prob. 1.25PCh. 1 - Prob. 1.26PCh. 1 - Prob. 1.27PCh. 1 - Prob. 1.28PCh. 1 - A vector field is expressed as F = Az az where A...Ch. 1 - Consider a problem analogous to the varying wind...
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- find the absolute value of the vector P= 2i - 6j +9k and express its direction as a unit vector.arrow_forwardPlease solve and show your detailed solution Number 2arrow_forwardA triangle is defined by three points A(3, -4, 2), B(-2, 4, 5), & C(0,3,3)find:A. Rbc x Rba using cross productB. The area of the triangleC. A unit vector perpendicular to the plane in which the triangle is locatedarrow_forward
- The unit vector directed from the origin towards the points would be obtained by first designating a vector that extends from the origin to points A(3, 3, -3). Expressed the desired unit vector as the quotient. a. 0.677a, + 0.677a, + 0.677a, b. 0.477a, + 0.477a, + 0.477a, c. 0.577a, + 0.577a, - 0.577a, d. 0.477a, + 0.477a, + 0.477a,arrow_forwardExpress in cylindrical components:a. The vector from C(3,2,-8) to D(-8, -4, 6)b. A unit vector at D directed toward Cc. A unit vector at D directed toward the origin.arrow_forward7. Find the curl of the vector a = x²y?z?i+y²z?j+ x²z²k. %3Darrow_forward
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