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22-Elec-A7 Electromagnetics: May 2017

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

  1. Question 1 Pulse reflections from two matched shunt taps on an infinite line
  2. Question 2 Which branch receives which frequency — a stub diplexer
  3. Question 3 Distributed parameters of a two-ribbon strip line
  4. Question 4 Filling permittivity that places the dominant cut-off at 4.2 GHz
  5. Question 5 Vertical component of E in a wave climbing at 45 degrees
  6. Question 6 Field at the centre of two orthogonal semicircles
  7. Question 7 EMF induced in a loop crossing a wall of field
  8. Question 8 Short vertical element radiating at two frequencies

Start with Question 1 →

Paper format. National Exams, May 2017 — 16-Elec-A7, Electromagnetics. Three hours, closed book; one of two approved calculators (Casio or Sharp) permitted. Eight questions of equal value (20 marks each). The paper states that any five questions constitute a complete paper and that only the first five appearing in the answer book are marked — all eight are solved here, because this set is a study resource. Aids printed on the paper: $\varepsilon_0 = 8.85\times 10^{-12}$ F/m and $\mu_0 = 4\pi\times 10^{-7}$ H/m, which together fix $c = 2.9986\times 10^{8}$ m/s and $\eta_0 = 376.8\ \Omega$. Where a question states its own propagation velocity (Questions 1 and 2 both give $3\times 10^{8}$ m/s), that stated value is used verbatim.

Reference texts. D. M. Pozar, Microwave Engineering, 4th ed. (transmission lines, stubs, waveguides); F. T. Ulaby, Fundamentals of Applied Electromagnetics (transients, plane waves); W. H. Hayt and J. A. Buck, Engineering Electromagnetics, 9th ed. (statics, Faraday's law, guided waves); M. N. O. Sadiku, Elements of Electromagnetics, 7th ed. (Biot–Savart, waveguides); C. A. Balanis, Antenna Theory: Analysis and Design, 4th ed. (short-element radiation).