MU Electronics and Telecom Engineering (Semester 4)
Wave Theory & Propagation
May 2013
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary


Explain any four of the following:-
1 (a) Derive the equation of electric potential due to Electric dipoles.
5 M
1 (b) A point charge of 100μC is located at origin. Find electric potential at (1,2,3)m.
5 M
1 (c) State and Explain Gauss's Law.
5 M
1 (d) Find out the total charge present in the closed surface defined by
0 ≤ x ≤ 1 , 0 ≤ y ≤ 1, 0 ≤ z ≤ 1
if ρv = (10x2)/4 C/m3.
5 M
1 (e) State and Explain divergence theorem.
5 M

2 (a) Derive Poisson's and Laplace's Equations.
10 M
2 (b) Derive the equation for Electric field intensity due to infinite surface charge or plane charge.
10 M

3 (a) Show that -
(i) ∇.D = 0 for the field of point charge.
(ii) ∇.E = 0 for the field of uniform line charge.
10 M
3 (b) Evaluate both sides of divergence theorem for the field
D = 2xyzâx2zây + x âz
for the region defined by -1 ≤ x ≤ 1 , -1 ≤ y ≤ 1 and -1 ≤ z ≤ 1.
10 M

4 (a) State and explain continuity equation and displacement current.
10 M
4 (b) Derive the equation for Magnetic field intensity due to finite straight line current carrying conductor.
10 M

5 (a) Explain Stokes's theorem and Ampere's circuital law.
10 M
5 (b) Find 'H' inside and outside of a solid cylindrical conductor of radius 'a' metre where I is uniformly distributed over the cross section.
10 M

6 (a) State and derive the equations for Poynting theorem.
10 M
6 (b) Derive the Electromagnetic wave equation for good conductor.
10 M

Write short notes on (any two):-
7 (a) Boundary Condition in Electrostatic and Magnetostatic.
10 M
7 (b) Reflection of uniform plane wave.
10 M
7 (c) Wave Impedance for free space.
10 M



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