Question Paper: Electromagnetic Engineering : Question Paper May 2015 - Electronics Engineering (Semester 5) | Mumbai University (MU)
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## Electromagnetic Engineering - May 2015

### Electronics Engineering (Semester 5)

TOTAL MARKS: 80
TOTAL TIME: 3 HOURS
(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Assume data if required.
(4) Figures to the right indicate full marks.

### Attempt any four:

1 (a) Point charges Q1=300° C located at (1,-1,3)m experiences a force $$\overline{F1}=\overline{8ax}-\overline{8ay}+\overline{4az} N$$ due to point charge Q2 at (3,-3,-2)m. Determine Q2.(5 marks) 1 (b) Explain isotropic, omnidirectional and directional antenna with suitable examples.(5 marks) 1 (c) Compare MOM, FEM and FDM.(5 marks) 1 (d) Find out the divergence and curl of the following function $$\overline{A}=2xy \overline{ax} + (x^2z) \overline{ay}+z^3 \overline{az}$$(5 marks) 1 (e) Explain skip distance with the formula.(5 marks) 2 (a) Derive Maxwell's integral and point form equation for static fields.(10 marks) 2 (b) Find electric field intensity E due to an infinite line charge carrying current I.(10 marks) 3 (a) Define the polarization of wave. Explain different types of polarization.(10 marks) 3 (b) Derive wave equations for free spacing for conducting media.(10 marks) 4 (a) Explain in detail FDM method also state advantages and drawback of it.(10 marks) 4 (b) State and derive the poynting theorem and describe the significance of each term.(10 marks) 5 (a) Explain the significance of the term 'effective area of an antenna'. Derive the relationship between effective area and directivity of any antenna.(10 marks) 5 (b) Explain the principle modes of operation of helical antenna and draw its radiation pattern.(10 marks)

### Attempt any two:

6 (a) Classify and explain different types of wave propagation.(10 marks) 6 (b) Explain folded dipole antenna and its applications.(10 marks) 6 (c) Explain following terms critical frequency, virtual height, maximum usable frequency.(10 marks)