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22-Elec-B9 Electromagnetic Field, Transmission Lines, Antennas, and Radiation: May 2016

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

  1. Question 1 Maxwell's Equations in Free Space Reduced to One Spatial Variable
  2. Question 2 Pulse Echoes from Two Shunt Resistors on a Matched Line
  3. Question 3 Load Impedance and Generator EMF from the Standing-Wave Pattern
  4. Question 4 Maximum Power in an Air-Filled Rectangular Waveguide
  5. Question 5 Width Between Nulls of a Three-Element Broadside Array
  6. Question 6 Two Shorted Stubs that Block 300 MHz and Pass 200 MHz
  7. Question 7 Radar Return from a Flat Plate under the Uniform Main-Beam Model
  8. Question 8 Elevation Angle and Frequency Dependence for a Short Vertical Element

Start with Question 1 →

Paper format. National Exams, May 2016 — 07-Elec-B9, Electromagnetic Field, Transmission Lines, Antennas, and Radiation. Three hours; closed book; any non-communicating calculator permitted. Eight questions, each of equal value (20 marks); the paper states that five questions constitute a complete exam paper and that the first five appearing in the answer book are the ones marked. The only constants printed on the cover page are the free-space permittivity and permeability, and a Smith chart is bound in as page 4 for use with Question 3. All eight questions are worked here, because this set is a study resource rather than a three-hour sitting.

Reference texts. D. M. Pozar, Microwave Engineering (transmission lines, the Smith chart, waveguides, resonators); M. N. O. Sadiku, Elements of Electromagnetics (Maxwell's equations, plane waves, guided waves); W. H. Hayt and J. A. Buck, Engineering Electromagnetics (field theory and wave propagation); C. A. Balanis, Antenna Theory: Analysis and Design (short elements, arrays, radiation resistance); F. T. Ulaby, Fundamentals of Applied Electromagnetics (radar, link budgets, applied propagation).

Units and constants. The paper works in SI throughout. Where a question supplies a rounded propagation velocity (for example 3×108 m/s) that value is used as given; where it does not, the exact free-space constants are used, giving $c = 2.998\times10^{8}\ \text{m/s}$ and $\eta_0 = 376.7\ \Omega$.