 WELCOME TO IP UNIVERSITY QUESTION PAPERS WEBSITE
Homepage : http://ippapers.tripod.com/    |     Back to IV semester papers

# End-Term Examination

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: Gradient Curl Divergence 6 ( b ) Give the expression of Elementary length Surface area Volume in cylindrical and spherical coordinates. 3 ( c ) If A(r,q,f) = 2r2 sin(q) ar , 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) = J0 az ; ra 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 = Ex ax and the direction of propagation is along +z direction. 8

 Q6 ( a ) For a uniform plane wave in sea water with σ = 4 S/m, ε = 80 ε0, µ = µ0 find attenuation constant α phase constant β intrinsic impedance η wavelength λ 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 η1  and η2 . 5

 Q7 ( a ) Derive transmission line equation. 6 ( b ) Derive an expresion for input impedance Zin  of a lossless line having length 'l' and a characteristic impedance of Z0 . 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 ZL =0; ZL = infinity; ZL =Z0 . 9 ( b ) For a line with L = 3.5 mH/Km, C = 0.008 uF/Km and R = G = 0, find Z0 and γ at frequency of 1KHz. 6