Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Question
Chapter 1, Problem 1.17P
To determine
(a)
A unit
To determine
(b)
A unit vector in the plane of the triangle and perpendicular to
To determine
(c)
A unit vector in the plane of the triangle that bisects the interior angle at A.
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Objective:
Use properties of right triangles to add electrical vectors. Draw a force triangle
from given vectors. Convert vectors between Polar to Rectangular forms.
Formulas: Given (R Z0) x=R cos 0
y = R sin 0
Given (x, y)
R= x? + y?
y
-1-
0 = tan
Add the following sets of vectors. Draw a vector diagram. Draw a force triangle
diagram. Convert the vectors to Rectangular form to add. Express the answer
in Polar form,
Z = 3.1 KOL65°
Z2 = 6.1 kaL-15°
1.
Zr =
Reose
Rsino
Σχ
Ey =
Zz = 4.3 KN230°
Z2 = 5.2 k0Z-60°
2.
ZT =
Rcos0
Rsine
Ex =
Ey =
Zz = 12 kOL26°
Zz = 15 kQL-56°
3.
Z =
Rcose
Rsine
Z1
Z2
Ex =
Ey =
I need the unit vector of the triangle at P and perpendicular to PT. And box the magnitude of PT thank you
a) Given vectors A = & + 32 and B = 5x + 2ỹ – 62, determine:
i.
5A - B
ii.
A unit vector parallel to 5A – B
iii.
The component of A along y
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 [2] vector form. In the figure below, write F= 1000 lb in the Cartesian 6 ft 4 ft A, F-1000 lb B 3 ftarrow_forwardQ4. Find the angle that the vector A = 3î – 4î makes with the positive x-axis Q5. Show that the vectors à = 3î + ĵ – 3k and B = 4î + 2ĵ + 7k are orthogonal?arrow_forwardA vector ? ̅has a magnitude of 45.0? and points in a direction 23.5° below thepositive x-axis. A second vector ? ̅has a magnitude of 72? and points in a direction55.0° above the positive x-axis.a. Sketch the vectors ?̅,?̅, and ?̅=?̅+?̅.b. Using the component method of vector addition, find the magnitude and direction of the vector ?̅.arrow_forward
- I need the answer as soon as possiblearrow_forwardThe 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_forward7. Find the curl of the vector a = x²y?z?i+y²z?j+ x²z²k. %3Darrow_forward
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