Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 1, Problem 1.25P
To determine
The cylindrical coordinates of a given
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The point M and N are located at (-7,-7,-7) and (0,9,5)
a. calculate the position vector at M and N
b. calculate the distance vectors from M and N
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Given the points D (5, 20°, −5) to S (2, −80°, 3):
find the unit vector in cartesian coordinates at D toward S. find the unit vector in cylindrical coordinates at D toward S.find the unit vector in spherical coordinates at D toward S.
1. Consider a vector field A=2yax+xay. Convert this field into othercoordinate systems and determine its divergence at any point(1 , 2 , 2) in all the three coordinate systems.
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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- السؤال A vector quantity has both a magnitude and a direction in space. الاجابات True Falsearrow_forwardSHOW YOUR COMPLETE SOLUTION SOLVE FOR vector A = (x2 – y2)ay + 48az in spherical coordinates at B (r = 14, θ = (36)o, Φ = 128oarrow_forwardI NEED QUICK ANSWERS, I WILL UPVOTE "Given the general vector field H = 10 sinΦ aθ in spherical coordinates, find the magnitude of J at (2, π/2, 0)."arrow_forward
- In Cartesian coordinates, the position vector at point (3, 80, 1) is represented byarrow_forwardExpress the vector field B = (x^2- y^2)ay + xzaz in cylindrical coordinates at ( 6, 60o, -4arrow_forwardThe ff vector fields are given: A = -10ax + 20x(y-1) ay B = 2x²y ax - 4ay + zaz For the given point P (2, -3, 4) find the Unit vector from B to Aarrow_forward
- Vector A = <8, 18, -22> in spherical coordinate system at P(-11, 16, 14). What is the magnitude of vector A in the "x" direction in the rectangular coordinate system at P? (Compute up to 4 decimal places)arrow_forwardFind the vector ds that represents a surface elementarrow_forwardThe divergence of vector field F (x,y,z)= <xe-x, y, -xz> is _________ Choices: A. (1 – x)(1 – e) B. (x – 1)(1 – e) C. (1 – x)(1 + e-x) D. (x – 1)(1 + e-x)arrow_forward
- Two points A(2,2,1) and B(3,-4,2) are given in the cartesian system. Obtain the vector from A to B and a unit vector directed from A to Barrow_forwardCartesian unit vector from point A (4, 60 °, −1) to point B (2, −30 °, 3)Express it in coordinates.arrow_forwardGiven the points T (5, 20°, 120°) to P (2, 80°, 30°): find the unit vector in spherical coordinates at T that is directedtoward P.arrow_forward
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