RTU 2016 Question Paper Semester IV Electronics and Communication Engineering Electromagnetic Field Theory

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co 4E4L33
(n Exam; June-July 2016
F{ B.Tech. IV-Sem (Main & Back)
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Electronics & Communication
Theory
4EC4A Electromagnetic Fietd
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Maximum Marks: 80
Time: 3 Hours 26
Min. Passing Marks (Main & Back):
24
Min. Passing Marks (Old Back):

Instructions to Candidstes :'

celpcti one question from each unit' All
"notinmt selecting
Attempt any ftve questions'
QuestionsCarry.equalmarks.Schematicdiagramsmustbeshown
missing suitably be assumed and
you feet
wherever necessary. Any data
stated clearlY.
must be stated clearly'
units of quantities used/ calculated
Useoffotlowingsupportingmaterialispermittedduringexamination.
2. NIL
1. NIL
UNIT.I
Q.1(a)Statethegradient,divergenceandcurltheoremsalongwiththeirimplications.[8]
for the function F = x y i + Zyzy
+3zxZ
(b) Check the Stoke's theorem
are located at (0' 0' 0),
(0, 2, 0) and
corners
using a triangular area whose
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(0,0,2)
oR
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theorems'
Q.1 (a) State the Stoke's and Green's

the functio, i = xyi + Zyzy +3zxiby
(b) check the divergence theorem for
'consideringthevolumeofacubewithsidesoflengths2locatedwithitssideson
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origin'
positive axes and one corner over
the

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UNIT.II
due to a circular sheet charge and
Q.2 (a) Derive the expression for the field intensity
then extend it to find the field due to an infinite plane sheet
charge. t8l

(b) State and explain the Gauss law. Applying the Gauss law, find out the field
intensity due to an infinite plane sheet charge'
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OR
charge distribution and extend it
Q.2 (a) Derive an expression for energy stored in a line
to the surface and volume charge distribution'
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v
(b) A parallel plate capacitor of length '{.' with afea'a' is inserted with a dielectric
up to a distance I - x. Find the electric force on the dielectric
slab. t8l

UNIT.III
the expression for magnetic
Q.3 (a) State and explain the Biot - savart law and derive
field intensity due to surface and volume currents' t8l

(b) Find the self inductance of a long coaxial cable of length 'L' wrth inner cylinder
radius
,a, andouter cylinder radius 'b' carrying current I. t8]

OR
elements and loops' Does
Q.3 (a) State and explain the Amper's force law for current
this law obeY the Newton's third law?
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(b) Find the magnetic field intensity at the centre of a square loop conductor of side
L carrying a current of I amPs' t8l

UNIT.IV
Mention them in their
Q.4 (a) What is the significance of the Maxwell',s equations?
various forms. t8l

(b) What is the continuity equation? Derive it from the basics and describe all its
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forms.

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OR
Q.4 (a) What is uniform plane waves? Show that the field in the uniform plane
wave is
independent of two dimensions.
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(b) A plane wave with E = 2.0 v/m and a frequency of 300MHz is moving in free
space impinging on a thick copper sheet (o
= 5.g x 107) located perpendicular to
the direction of the propagation. Find the depth of penetration.
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UNIT-V
Q.s (a) Explain the retarded potentials and their concepts bf radiation.
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(b) Describe the radiation from a small current element and concept
of radiation
resistance.
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OR
Q.s (a) Describe the methods of eliminating interference.
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(b) what are the EMI standards and explain the method of EMI testing.
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