NivaarExam PrepOfficial exam papers ↗

22-Elec-A7 Electromagnetics: December 2015

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

  1. Question 1 Pulse energy delivered to two parallel semi-infinite lines
  2. Question 2 Shorted stub that passes 300 MHz and blocks 400 MHz
  3. Question 3 Coaxial line: inner conductor diameter and dielectric constant
  4. Question 4 Mode count in a 2.5 cm × 1 cm guide at 20 GHz
  5. Question 5 Power limit set by the standing-wave voltage maximum
  6. Question 6 Power reflected at normal incidence on a dielectric
  7. Question 7 Interference of two crossed plane waves
  8. Question 8 Vertical field component from a short element at a new frequency

Start with Question 1 →

Paper format. National Exams, December 2015 — 07-Elec-A7 Electromagnetics. Three hours, closed book; one of two approved calculators permitted. Eight questions, all of equal value (20 marks each). The rubric states that any five questions constitute a complete paper and that only the first five presented are marked — all eight are worked here, because this set is a study resource rather than a sat examination. Aids printed on the paper: $\varepsilon_0 = 8.85\times10^{-12}\ \text{F/m}$ and $\mu_0 = 4\pi\times10^{-7}\ \text{H/m}$, from which $\eta_0=\sqrt{\mu_0/\varepsilon_0} = 376.8\ \Omega$ and $c = 1/\sqrt{\mu_0\varepsilon_0} = 3.00\times10^{8}\ \text{m/s}$.

Reference texts. D. M. Pozar, Microwave Engineering, 4th ed. (transmission-line transients, matching stubs, waveguide modes); M. N. O. Sadiku, Elements of Electromagnetics, 7th ed.; W. H. Hayt and J. A. Buck, Engineering Electromagnetics, 9th ed. (plane waves, normal incidence); F. T. Ulaby, Fundamentals of Applied Electromagnetics, 8th ed. (polarisation, interference, radiation); C. A. Balanis, Antenna Theory: Analysis and Design, 4th ed. (short current elements).