MU Electronics and Telecom Engineering (Semester 4)
Wave Theory & Propagation
May 2015
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


1 (a) Give significance of boundary conditions for electric field.
5 M
1 (b) Can you use CRO to measure the radio of charge & mass of electron?
5 M
1 (c) Give behaviour wave for normal incidence in dielectric media.
5 M
1 (d) Why do we need numerical techniques to solve field problems.
5 M

2 (a) Explain plane earth reflection on horizontally polarized & vertically polarized wave.
10 M
2 (b) Derive relation between MUF & Skip distance.
10 M

3 (a) In non-magnetic medium
\[ \overline{E}=4 \sin [2Π × 10^7 t-0.8 x]\overline{a_z} V/meter. Find
i) ?r; ?
ii) The time average power carried by the wave.
iii) The total power crossing 100 cm2 of plane 2x+y=5
10 M
3 (b) Determine potential at 2.8 cm from the centre of co axial as shown in figure 1 by using FEM. There is no free charge between inner & outer sheaths of coaxial cable. a=1.5 cm b=4.4 cm r=2.8

10 M

4 (a) Explain parallel & perpendicular polarization of wave.
8 M
4 (b) A uniform plane wave in air with [ overline {E}= 8 cos |ωt - 4x - 3z] overline{a_y} ] volt//meter is incident on dielectric slab [z?0] with μr=1, ?r=2.5, ?=0
Find:
i) Polarization of wave
;ii) The Angle of incidence
6 M
4 (c) Explain Ray path & critical frequency.
6 M

5 (a) What is the advantages of using a triangular mesh in the FEM.
5 M
5 (b) Give the solution of wave equation for free space.
5 M
5 (c) Solve Laplace's equation \[ \nabla^2V=0 \]
i) 0 ≤x ≤ 1; 0≤ y ≤ 1 with
V (x,1)=45 x (1-x);
V(x,0)=V(0,y)=V(1,y)=0
Assume mesh size as 0.5
10 M

6 (a) Write Maxwell's equation in a) point form b) Integral form
Explain the significance of each equation.
10 M
6 (b) State Poynting theorem. What is Poynting vector?
10 M
6 (c) What is a magnetic dipole? How does a magnetic dipole differ from electric dipole.
10 M



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