Code: 13A05402
B.Tech II Year II Semester (R13) Regular Examinations May/June 2015
ELECTROMAGNETIC THEORY AND TRANSMISSION LINES
(Electronics and Communication Engineering)
Time: 3 hours Max. Marks: 70
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Answer all five units
UNIT – I
- (a) State and explain Coulomb’s Law.
(b) A charge QA = -20 µC is located at A(-6, 4, 7), and a charge QB = 50 µC is located at B(5, 8, -2) in free space. If distances are given in meters, find: (i) RAB. (ii) The force exerted on QA by QB.
(OR) - (a) Explain the concept of electric potential. Obtain the expression for potential due to a point charge.
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(b) Determine the electric field intensity at P(-0.2, -3, 4) due to a point charge of 2nC at Q(0.2, 3, -1). All dimensions are in meters.
UNIT – II
- (a) State and explain Ampere’s circuital law and write its applications.
(b) A current sheet K = 10 ay A/m is located at z = 2. (i) Find H at P(1, 1, 3). (ii) Find H at Q(0, -3, 10).
(OR) - (a) Explain the concept of magnetic vector potential.
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(b) A conductor located at x = 0, y = 0 carries a current of 2A in the +z direction. Calculate the magnetic field intensity H at the point (1, 1, 0).
UNIT – III
- (a) Derive Maxwell’s equations from Faraday’s and Ampere’s laws.
(b) In a lossless dielectric medium for which ? = 300 ?, µr = 1, H = -0.5 cos (108t - z) ax A/m. Calculate er and E.
(OR) - (a) Explain about instantaneous, average and complex Poynting vectors.
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(b) A plane wave propagating through a medium with er = 8, µr = 2 has E = 0.5 sin (108t - ßz) ax V/m. Specify ß and H.
UNIT – IV
- (a) Explain about reflection coefficient and transmission coefficient for normal incidence.
(b) A plane wave in free space is normally incident on a large slab of material with e = 3.0 e0 and µ = µ0. Determine the fraction of the incident power that is reflected and transmitted.
(OR) - (a) Explain about Brewster angle and critical angle.
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(b) A parallel polarized wave is incident from air onto a dielectric at the Brewster angle of 58°. Determine the relative permittivity of the dielectric.
UNIT – V
- (a) Explain about primary and secondary constants of a transmission line.
(b) A lossless transmission line with Z0 = 50 ? is 30 m long and operates at 2 MHz. The line is terminated with a load ZL = (60 + j40) ?. If v = 0.6c on the line, find: (i) Reflection coefficient G. (ii) Standing wave ratio s. (iii) Input impedance.
(OR) - (a) Explain the applications of Smith chart.
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(b) A lossless 50 ? transmission line is terminated in a load impedance ZL = (25 + j50) ?. Use the Smith chart to find: (i) Voltage reflection coefficient. (ii) Voltage standing wave ratio. (iii) Input impedance at 0.3? from the load.
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