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Engineering Electromagnetic Question Paper - Dec 17 - Electronics Engineering (Semester 5) - Mumbai University (MU)
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Engineering Electromagnetic - Dec 17

Electronics Engineering (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.

Answer the following (Any 4)

1.a. Compare MOM, FDM, and FEM.

(5 marks) 00

1.b. State and explain Biot Savart's Law.
(5 marks) 00

1.c. Derive wave equations for time varying harmonic fields.
(5 marks) 00

1.d. Define: Critical frequency, Virtual height.
(5 marks) 00

1.e. Define skin depth and derive depth of penetration in good conductors.
(5 marks) 00

2.a. Derive Maxwell equations for time varying fields in point and integral form.
(10 marks) 00

2.b. State pointing theorem. Derive an expression for pointing vector with significance of each term.
(10 marks) 00

3.a. A 10 GHz plane wave travelling in free space has amplitude of$E_{x}=10 \mathrm{V} / \mathrm{m} .$ Find $\mathrm{V}, \lambda, \beta, \eta$ and the amplitude and direction of H.
(10 marks) 00

3.b. Derive the expression or the reflection and transmission coefficient in case of reflection from Perfect dielectrics at a) Normal Incidence b) Oblique incidence.
(10 marks) 00

4.a. Explain method of moments (MOM). Also state its advantage and drawbacks.
(10 marks) 00

4.b. Define directivity and gain of an antenna. An antenna has a loss resistance of 10ohm, power gain of 20 and directivity of 22. Calculate the radiation resistance.
(10 marks) 00

5.a. Explain principle modes of operation of a helical antenna and draw its radiation pattern.
(10 marks) 00

5.b. Derive boundary conditions for electric field at a boundary between 2 dielectrics.
(10 marks) 00

6.a Explain factors affecting field strength of a space wave signal.
(10 marks) 00

6.b. Define critical frequency and MUF. Also derive an expression for MUF.
(10 marks) 00

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