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Electromagnetic Engineering Question Paper - Dec 18 - Electronics And Telecomm (Semester 5) - Mumbai University (MU)
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Electromagnetic Engineering - Dec 18

Electronics And Telecomm (Semester 5)

Total marks: 80
Total time: 3 Hours
INSTRUCTIONS
(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Draw neat diagrams wherever necessary.

Q1 Attempt any four

1.a. Calculate charge density due to electric flux density $\overline{D}=4 r \sin \emptyset \widehat{a_{r}}+2 r \cos \phi \widehat{a_{0}}+2 z^{2} \widehat{a_{z}} c / m^{2}$
(5 marks)

1.b. Obtain point format of Continuity equation.
(5 marks)

1.c. Express Biot Savart's law in vector format.
(5 marks)

1.d For parallel plates capacitor with plate area 10$c m^{2}$ and plates separation 3mm has voltage of 100 $\sin 10^{3} t V$ applied to its plates. Calculate displacement current density $\left(\varepsilon=2 \varepsilon_{0}\right)$
(5 marks)

1.e. Define following terms:

  • Uniform Plane waves
  • TEM wave

(5 marks)

1.f. Define the term Characteristic Impedance, Write expression for the same for Lossy and Lossless lines.
(5 marks)

1.g. Show that $\overline{E}=-\nabla V$.
(5 marks)

2.a. A sheet charge of $\rho_{s}=2 n C / m^{2}$ located at x=2 in free space and line charge $\rho_{l}=20 \mathrm{nC} / \mathrm{m}$ is located at x=1 & z=4, find electric field at the origin and direction of electric field at (4,5,6).
(10 marks)

2.b. For infinite long conductor of radius 'a' carrying current I, determine Magnetic field everywhere.
(10 marks)

3.a. Explain in brief Maxwell's Equation for Time varying field in Integral and Point format, also give their significance.
(10 marks)

3.b. Magnetic field component of an EM wave propagating through a non-magnetic medium $\left(\mu=\mu_{0}\right)$ is: $\overline{H}=25 \sin \left(2 \times 10^{8} t+6 x\right) \overline{a_{y}} m A / m$

Determine

  • The direction of wave propagation
  • The permittivity
  • Electric Field

(10 marks)

4.a. List boundary conditions for time varying field if given that: $\overline{D}=50 \overline{a_{x}}+80 \overline{a_{y}}-30 \overline{a_{z}} n C / m^{2}$ In region $x \geq 0$ where $\varepsilon=2.1 \varepsilon_{0}$. Find electric charge density for region $x \leq 0$ where $\varepsilon=7.6 \varepsilon_{0}$.
(10 marks)

4.b. Obtain Poission's and Laplacian's equation used to solve boundary problems for conducting plates described as V(z=0)=0V and V(z=2mm)=50V. Determine

  • V
  • List item
  • List item

(10 marks)

5.a. Lossless 50$\Omega$ transmission line terminated by a load impedance $\mathrm{Z}_{\mathrm{L}}=75+60 \mathrm{j} \Omega$ using Smith chart determine:

  • Reflection Coefficient
  • SWR
  • Input impedance at 0.2$\lambda$ from load verifying the same using analytical solution

(10 marks)

5.b. Obtain Integral form of Poynting Theorem and explain significance of each term.
(10 marks)

Write a short note on

6.a. Electric Dipole
(5 marks)

6.b. Electrostatic discharge
(5 marks)

6.c. Magnetic Levitation
(5 marks)

6.d. Wave propagation through lossy dielectrics
(5 marks)

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