Question Paper: Electromagnetic Engineering Question Paper - May 2016 - Electronics Engineering (Semester 5) - Mumbai University (MU)
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## Electromagnetic Engineering - May 2016

### MU Electronics Engineering (Semester 5)

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

### Attempt any four

1(a) Point charges Q2 = 300 μC located at (2,-1,-3) m experiences a force ¯¯¯¯¯¯F2=8¯¯¯¯¯ax−8¯¯¯¯¯ay+4¯¯¯¯¯azN.F2¯=8ax¯−8ay¯+4az¯N. \displaystyle \overline {F_2}=8\overline {a_x}-8 \overline {a_y}+4\overline{a_z}N. due to point charges Q1 at (3,-4,-2)m. Determine Q1. 5 marks

1(b) the height of a monopole antenna is &lambda 5 marks

1(c) State and explain Biot-Savart's law 5 marks

1(d) Find out the divergence and curl of the following function
¯¯¯¯F=2x2y¯¯¯ax+x2z¯¯¯ay+yz3¯¯¯azF¯=2x2ya¯x+x2za¯y+yz3a¯z \overline {F}=2x^2 y\overline {a}_x+x^2z\overline{a}_y+yz^3\overline{a}_z
5 marks

2(a) Derive Maxwells integral and point form of equations for static fields 5 marks

2(b) Find electric fields intensity E due to an infinite surface charge. 5 marks

3(a) Define the polarization of wave. Explain different types of polarization 5 marks

3(b) Derive boundary conditions for electric and magnetic fields at the boundary of two dielectric media. 5 marks

4(a) Explain in detail FDM method also state advantages and drawback of it. 5 marks

4(b) State Poynting theorem and derive the average poynting vector. 5 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. 5 marks

5(b) Explain the principle modes of operation of helical antenna and draw its radiation pattern 5 marks

6(a) Classify anf explain different types of wave propagation. 5 marks

6(b) Explain folded dipole antenna and its applications. 5 marks

6(c) Explain following terms critical frequency, virtual height, maximum usable frequency 5 marks

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