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Fourth Semester [B.Tech]  May 2005
Paper Code : ETEC – 205 Subject : Electromagnetic Field Theory 
Time : 3 Hours 
Maximum Marks : 75 
Note : Attempt any 5 questions in all. 
Q1 
( a ) 
Explain the physical interpretation of:

6 
( b ) 
Give the expression of
in cylindrical and spherical coordinates. 
3 

( c ) 
If
A(r,q,f) = 2r^{2} sin(q)
a_{r}
, find (i) Ñ.A (ii) Ñ´A 
6 
Q2 
( a ) 
Find electrostatic potential V and electric field intensity E
for a dipole. 
8 
( b ) 
A point charge Q is placed at a height 'h' above an infinite conducting sheet. Using method of images, show that the total charge induced on the conducting sheet is Q. 
7 
Q3 
( a ) 
Derive boundary relations for electric field across a common
boundary separating two different media. 
8 
( b ) 
Two concentric spherical shells of radii 'a' and 'b' with b>a are
charged with equal and opposite charges +Q. Find (i) Total energy of the system (ii) Total capacitance of the system 
7 
Q4 
( a ) 
A volume current distribution is given by: J(r,f,z) = J_{0}
a_{z} ; r<a using Ampere's circuital law, find the magnetic flux density at
all points. 
7 
( b ) 
Explain (i) Ampere's law of force (ii) Faraday's law. give their typical applications in electromagnetism. 
8 
Q5 
( a ) 
Give Maxwell's equations in time varying form in (i) Integral form (ii) Differential form 
7 
( b ) 
Derive wave equation and find its solution when E = E_{x} a_{x} and the direction of propagation is along +z direction. 
8 
Q6 
( a ) 
For a uniform plane wave in sea water with
at a frequency of f = 25 KHz 
5 
( b ) 
Derive relations for reflection and transmission coefficients for
electric field when an electromagnetic wave is incident normally on
the surface separated by two different media
η_{1 }
and
η_{2 }. 
5 
Q7 
( a ) 
Derive transmission line equation. 
6 
( b ) 
Derive an expresion for input impedance Z_{in } of a
lossless line having length 'l' and a characteristic impedance of Z_{0 }
. 
5 

( c ) 
Give the difference between distortion less and lossless line. 
4 
Q8 
( a )  Find the (i) input impedance (ii) reflection coefficient (iii) VSWR on the line when Z_{L }=0; Z_{L }= infinity; Z_{L } =Z_{0 }. 
9 
( b ) 
For a line with L = 3.5 mH/Km, C = 0.008 uF/Km and R = G = 0, find Z_{0} and γ at frequency of 1KHz. 
6 