SULIT

MID-TERM EXAMINATION SEMESTER 2

SESSION 2013/2014

FAKULTI KEJURUTERAAN ELEKTRIK

KOD MATAPELAJARAN : BEKP 2453 SUBJECT CODE BEKP 2453

MATAPELAJARAN :TEORI ELEKTROMAGNET SUBJECT ELECTROMAGNETIC THEORY

PENYELARAS/PENSYARAH : EN. SHARIN BIN AB GHANI (P)

COORDINATOR/LECTURER EN. MOHD SHARIL BIN AHMAD KHIAR

DR. MOHD LUQMAN BIN MOHD JAMIL

KURSUS : BEKP/ BEKE /BEKC COURSE

MASA : 1 HOUR 30 MINUTES TIME 1 JAM 30 MINIT

TARIKH : 2 APRIL 2014 DATE 2 APRIL 2013

TEMPAT : DEWAN BESAR VENUE GRAND HALL

INSTRUCTION TO CANDIDATES

1. Answer all questions in the booklet.

2. Total marks for this examination is 50 marks.

3. Appendixes are attached at the end of the paper.

KERTAS SOALAN INI TERDIRI DARIPADA ( 5 ) MUKA SURAT SAHAJA

(TERMASUK MUKA SURAT HADAPAN) THIS QUESTION PAPER CONTAINS ( 5 ) PAGES INCLUSIVE OF FRONT PAGE

SULIT

BEKP 2453 SEM II 2013/2014

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BEKP 2453: Electromagnetic Theory

Test 1/Ujian 1

QUESTION 1

Given point J(0,-4,3) and vector zx azyx

yza

zyx

yx

222222

22

W

;

i. Express J and W in cylindrical and spherical coordinates.

ii. Evaluate W at J in the three coordinate systems.

(Hint: You may use Fig. 1 for the problem solving)

[25 Marks]

Fig. 1: Relationship between space variables (x,y,z), (r,, ) and (, , z)

BEKP 2453 SEM II 2013/2014

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BEKP 2453: Electromagnetic Theory

Test 1/Ujian 1

QUESTION 2

a) Imagine that the object as shown in Fi. 2 is a segmental part of a spherical shell. Its parameters

can be described as

r : 3 r 5 ; surface r =3 equal to AEHD

: 60 90 ; surface = 60 equal to AEFB

: 45 60 ; surface = 45 equal to ABCD

determine the following ;

i. The distance DH.

ii. The distance FG.

iii. The surface area AEHD

iv. The surface area ABDC

v. The volume of the object

(17 Marks)

b) Determine the gradient of the following scalar fields:

i. A = 4xz2+3yz

ii. B = 2 (z2+1) cos

(4 Marks)

c) Determine the divergent and curl of the following vector fields:

i. A = x2yzax + xzaz

ii. B = sin a + 2za + z cos az

(4 Marks)

[25 Marks]

Fig. 2

BEKP 2453 SEM II 2013/2014

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BEKP 2453: Electromagnetic Theory

Test 1/Ujian 1

Lampiran / Appendixes

Cartesian Cylindrical Spherical

Differential

Length

Differential

Surface Area

Differential

Volume

Del Operator

Gradient

Divergence

Curl

Laplacian

BEKP 2453 SEM II 2013/2014

5

BEKP 2453: Electromagnetic Theory

Test 1/Ujian 1