Elements of Electromagnetics – Solutions Manual (7th Edition, 2019 – Sadiku) | Complete PDF

ALL 14 CHAPTERS COVERED

,1. 1 VECTOR ALGEBRA

2. 2 COORDINATE SYSTEMS AND TRANSFORMATION

3. 3 VECTOR CALCULUS

4. 4 ELECTROSTATIC FIELDS

5. 5 ELECTRIC FIELDS IN MATERIAL SPACE

6. 6 ELECTROSTATIC BOUNDARY-VALUE PROBLEMS

7. 7 MAGNETOSTATIC FIELDS

8. 8 MAGNETIC FORCES, MATERIALS, AND DEVICES

9. 9 MAXWELL’S EQUATIONS

10.10 ELECTROMAGNETIC WAVE PROPAGATION

11.11 TRANSMISSION LINES

12.12 WAVEGUIDES

13.13 ANTENNAS

14.14 NUMERICAL METHODS

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CHAPTER 1

P. E. 1.1
(a) A  B  1,0,3  5,2,6   6,2,3

A  B  36  4  9  7

(b) 5 A  B  5,0,15  5,2,6  0,2,21

(c) The component of A along ay is Ay = 0

(d) 3 A  B  3,0,9   5,2,6   8,2,3
A unit vector parallel to this vector is
a11 
8,2,3
64  4  9
  0.9117a x  0.2279a y  0.3419a z 


P. E. 1.2 (a) rp  a x  3a y  5a z
rR  3a y  8a z



(b) The distance vector is

rQR  rR  rQ  (0,3,8)  (2, 4, 6)  2a x  a y  2a z

(c) The distance between Q and R is
| rQR | 4  1  4  3


P. E. 1.3 Consider the figure shown on the next page:
uZ  uP  uW  350a x 
40
2
 a x  a y 
 378.28a x  28.28a y km/hr
or
uz  379.3175.72 km/hr
Where up = velocity of the airplane in the absence of wind
uw = wind velocity
uz = observed velocity

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CHAPTER 2

P. E. 2.1

(a) At P(1,3,5), x = 1, y = 3, z =5,
 x  y
2 2
= 10 , z = 5,   tan 1 y / x  tan 1 3  71.6o
P(  ,  , z)  P( 10 , tan 1 3,5)  P(3.162,716
. o ,5)

Spherical system:

r x2  y2  z2  35  5.916
  tan 1 x 2  y 2 z  tan 1 10 5  tan 1 0.6325  32.31
P (r , ,  )  P (5.916,32.31, 71.57)


At T(0,-4,3), x=0 y =-4, z =3;
  x  y  4, z  3,   tan y / x  tan   270
2 2 1 1


T ( ,  , z)  T (4,270 ,3).

Spherical system:
r x 2  y 2  z 2  5,  tan 1  / z  tan 1  5313
. .
T (r , ,  )  T (5,5313
.  ,270 ).



At S(-3-4-10), x =-3, y =-4, z =-10;
 4 
  x 2  y 2  5,   tan 1    233.1
 3 
S (  ,  , z )  S (5, 233.1, 10).

Spherical system:
r  x 2  y 2  z 2  5 5  11.18.

  tan 1  z  tan 1
5
 153.43;
10
S (r ,  ,  )  S (11.18,153.43, 233.1).


(b) In Cylindrical system,   x2  y 2 ; yz  z  sin  ,
 z  sin 
Qx  ; Qy  0; Qz   ;
  z2
2
 2  z2


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