Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 1, Problem 1.21P
Exercise in cylinder components ;(a) the
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The vector fields are defined as A= ap +2ag +3az, B = 0.4aap +0.4ßa -6az , both vectors are parallel then a and B are respectively
(-4,-8)
(-20,-40)
(-8,-16)
O (-5,-10)
Given: Pt. Q (2,-3,6) and Pt. R(3, 0, -6)
Solve for the following:
a. Displacement vector (d1) from Pt. Q to Pt. R
b. Coordinate of a certain Pt. S, which is the endpoint of another displacement vector (dx)
having the same value as" d1" that begins at pt. R
C. Displacement vector (d2) from Pt. Q to Pt. S
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,
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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- PROBLEM # 3 EXPRESS THE VECTOR FIELD D= (x²+y²)"(xaxtyay) IN CULINDRICAL COMPONENTS AND CYLINDRICAL VARIABLES.arrow_forwardWhat is the resultant of vector A=2i +2j, and vector B= -2i+lj Select one: a. 3.5 O b. 3 C. 5√2 O d. √26 e. 2arrow_forwardGiven vectors T = 2a, - 6a, + 3a, and S = a, + 2a, + a, find: (a) the scalar projec- tion of T on S, (b) the vector projection of S on T, (c) the smaller angle between T and S.arrow_forward
- I. Given the scalar function f (x, y, z) = e*yz and vector function F(x, y, z) = –z i + xj- y k Find the following: a) Vf b) div(Vf) c) curl(F) d) div(curl(F))arrow_forwardAnswer of letter C is the only one needed. thank you! a. Find the vector component of F = 10ax -6a, + 5a₂ that is parallel to G = 0.1ax +0.2a, + 0.3a₂ b. Find the vector component of F that is perpendicular to G. c. Find the vector component of G that is perpendicular to F.arrow_forwardQuestion 7 The vector fields are defined as A= ap +2ad +3az , B = 0.25aa, +0.25Bad -6az , both vectors are parallel then a and B are respectively (-4,-8) (-8,-16) O (-5,-10) (-20,-40)arrow_forward
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- Express 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_forward1. 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.arrow_forwardGiven a vector in a Cartesian coordinate system that originates from the origin and terminates at point C (6,2,-4): What is the unit vector in the direction of this vector?arrow_forward
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