Dhaka Imtermatioma[ [Iniversity
L)cpartr.rreni
o
F'acuIty oI Science ;urd E,nginecr.in.u
I Electrica l, E lectronics ;md Telecon.r r.nunicatii>n Engilecrirrg
Course Title: Electromragnetlc l.-icids ancl Waves Course Codc: EE'tr'E 305
Final Exauiination (Spnng Semcster'- 2016)
Sernester No.: E'r' Elatch: 24tt' (Eve)
'['irnes; 2:30 Hrs.
Full Ntrarks:
50
Gnoup A
Ansrver,4ny Two Qu estions
(rz.sx 2-2s)
[.
a) State the Gauss's law
rleanings.
and from the law prove
; where all symbols have usual
.L/
LA
.?
b) For an infinite sheet ofcharge show that,
2.
that, pr=V.D
")
n=
lt2e" h,
; where all symbols have usual
meanings.
a) Briefly explain electrical properties of materials in terms of constitutive parameters.
b) Describe polarization in dielectrics and detetmine the following relation, D -e E
3. a) StateAmpere's circuit law and from the lawprove that, VXE=7
6
6.5
2+4
;where all symbols have
usual meanings.
b) Determine the field at a point due to a straight filamentary conductor.
c) Describe magnetic flux density.
1LA
4
2.5
Croup B
Answer Any One Question
(rz.sx1=12.5)
4.
5.
a) Briefly expiain Biot-Savart's law with necessary figure.
b) Describe Biot-Savart's law in terms of distributed current sources.
c) Write Maxwell's equations for static electric and magnetic fields.
4.5
4
4
Two extensive homogeneous isotropic dielectrics meet on the plane z : 0. For z)0, E,r: 4 and for z<0,
e.z: 3. Auniform electric field E-,=f0d*-5 6r+LSd, kV m-r exists for z<0
a) Illustrate the problem in a figure.
b) Determine T, for z>0
c) Find the angles Er and Ez make with interface
d) Show that,
tan0,
tan 0,
€.1
2
4
4
2.5
€,2
Group C
Answer the Question
(tz.sx1=12.5)
6.
2.5
a) State Faraday's law and explain mathen-ratically.
b) Deterrpine the Maxwell's equation
]
. VXE=
6E
6t
for time varying magnetic flelds from
the
Faraday's law; where ail symbols have usual meanings.
b) Write Maxwell's curl equation and Hehnlioltz Equations lor electrotragnetic waves in a simple,
source-free, possibly lossy medium.