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SPPU Electronics and Telecom Engineering (Semester 5)
Electromagnetics and Transmission Lines
December 2016
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

Solve any one question from Q.1(a,b,c) & Q.2(a,b,c)
1(a) Derive expression for fllux density for an infinite line charge using Gauss law.
8 M
1(b) Derive relation betweenE and V. Also state significance of potential gradient.
8 M
1(c) State & explain strokes theorem.
6 M

2(a) A point charge of 2nC is located at (4, -1, -3) & a uniform line charge of -25nC/m lies along the intersection of phases X = -4 & Z=6 calculate $\bar{D} \text{and} \bar{E}\text{at}(3,1,0).$
8 M
2(b) derive boundary condition for perfect dielectric media.
8 M
2(c) In the region 0$$\bar{J}=4.5e^{-2x}a_z\left ( \frac{A}{m^2} \right )\text{and }J=0$$/ elsewhere. Use Ampere's law to find $\bar{H}$.
5 M

Solve any one question from Q.3(a,b) & Q.4(a,b)
3(a) What is pointing vector? What is its significance ? Derive the expression for average pointing vector.
8 M
3(b) In free space $$\bar{E}=20\cos \left ( wt-50x \right )\overline{ay}V/m$$/ determine:
i) Id ii) H
iii) W
8 M

4(a) Write Maxwell's equation on the basis of Ampere's circuit law in integral as well as differential form and modify the above equation for sinusoidal time varying field in free space.
8 M
4(b) A boundary condition exists at Z =0 between dielectrics ∈r1=2.5 region Z<0&∈r2=4 in the region Z>0. The field in the region of ∈r1 is $$\bar{E}=-30\overline{ax}+50\overline{ay}+70\overline{az}\frac{V}{m}$$/ Find:
i) Normal component of E1. ii)Tangential component of E1.
iii) Angle α1 between E1 & normal to surface.
iv) Normal component of D2. v) Tangential component of D2.
vi) Angle α2 between D2 & normal to surface.
8 M

Solve any one question from Q.5(a,b) & Q.6(a,b)
5(a) Defien various parameters of transmission line.
6 M
5(b) What are the different types of distortion? Derive the condition for Inductance loading on Telephone cable.
10 M

6(a) Derive the equation for volatage & current of general solution of transmission line.
10 M
6(b) Prove that $Z_0=\sqrt{Z_{oc}Z_{sc}}.$
6 M

Solve any one question from Q.7(a,b) & Q.8(a,b)
7(a) Derive expression for characteristic impedance, propagation constant and velocity of propagation for distortion less line.
8 M
7(b) A transmission line with characteristics impedance of 692∠-12°Ω is terminated in 200Ω resistor. Determine reflection coefficient & SWR.
10 M

8(a) What do you mean by single stub matching on a line and derive the equation of single stub along the line.
8 M
8(b) In lossless 100Ω transmission line is terminated in an impedance 50+j60Ω. Calculate VSWR, reflection coefficient, impedance of 0.35λ from the load using smith chart.
10 M

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