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22-Elec-A7 Electromagnetics: May 2015

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

  1. Question 1 Step response of an open-circuited line with a shunt tap
  2. Question 2 Open-circuited stub matching a parallel RC load
  3. Question 3 Rotating loop in an inclined field: best axis and rms EMF
  4. Question 4 Loop current for a specified field at a jumper centre
  5. Question 5 Single-mode bandwidth of an empty rectangular waveguide
  6. Question 6 Quarter-wave line: generator EMF variation with load power
  7. Question 7 Counter-propagating orthogonal waves: distance to circular polarisation
  8. Question 8 Vertical elements over a ground plane: the 30 MHz vertical field

Start with Question 1 →

Paper format. National Examinations, May 2015 — 07-Elec-A7 Electromagnetics. Three hours, closed book; one of two approved calculators (Casio or Sharp) permitted. Eight questions, all of equal value; the paper’s note 3 states that any five questions constitute a complete paper and only the first five presented will be marked. Because this set is a study resource, all eight questions are solved here. The permitted aids printed on the cover are used throughout: $\varepsilon_0 = 8.85\times10^{-12}\ \text{F/m}$ and $\mu_0 = 4\pi\times10^{-7}\ \text{H/m}$, giving $\eta_0 = \sqrt{\mu_0/\varepsilon_0} = 376.6\ \Omega$ and $c = 1/\sqrt{\mu_0\varepsilon_0} \approx 3\times10^{8}\ \text{m/s}$.

Reference texts. D. M. Pozar, Microwave Engineering, 4th ed. (transmission-line transients, matching, waveguides); M. N. O. Sadiku, Elements of Electromagnetics, 7th ed. (magnetostatics, Faraday’s law, plane waves); W. H. Hayt and J. A. Buck, Engineering Electromagnetics, 9th ed. (polarisation, boundary conditions); C. A. Balanis, Antenna Theory: Analysis and Design, 4th ed. (short elements, image theory); F. T. Ulaby and U. Ravaioli, Fundamentals of Applied Electromagnetics, 8th ed. (waves and power density).