NivaarExam PrepOfficial exam papers ↗

22-Elec-A7 Electromagnetics: December 2014

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

  1. Question 1 Pulse energy split at a junction of two semi-infinite lines
  2. Question 2 Section length giving a purely resistive input impedance
  3. Question 3 Circular polarisation from two counter-propagating waves
  4. Question 4 Power limit set by the voltage ceiling on a mismatched line
  5. Question 5 Propagating modes and longest guide wavelength at 15 GHz
  6. Question 6 Self-inductance of a solenoid with a partial magnetic core
  7. Question 7 Mechanical power to drive a loop generating into a complex load
  8. Question 8 Magnetic field of a monopole above a conducting ground plane

Start with Question 1 →

Paper format. National Exams, December 2014 — 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 the 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 $\eta_0=\sqrt{\mu_0/\varepsilon_0}\approx 377\ \Omega$ and $c = 3\times10^{8}\ \text{m/s}$.

Reference texts. D. M. Pozar, Microwave Engineering, 4th ed. (transmission lines, waveguides); M. N. O. Sadiku, Elements of Electromagnetics, 7th ed.; W. H. Hayt and J. A. Buck, Engineering Electromagnetics, 9th ed. (statics, Faraday's law, plane waves); F. T. Ulaby, Fundamentals of Applied Electromagnetics, 8th ed. (polarisation, radiation); C. A. Balanis, Antenna Theory: Analysis and Design, 4th ed. (short elements, image theory).