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22-Elec-A1 Circuits: May 2016

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

  1. Question 1 Equivalent resistance and source loading
  2. Question 2 Thévenin equivalent with a dependent source, maximum power
  3. Question 3 First-order RC switching transient
  4. Question 4 AC steady-state mesh analysis (phasors)
  5. Question 5 AC power — supply current, power factor, complex power
  6. Question 6 Second-order transient via the Laplace transform

Start with Question 1 →

Reference texts: C. K. Alexander & M. N. O. Sadiku, Fundamentals of Electric Circuits (7th ed., McGraw-Hill) — series/parallel reduction, Thévenin’s theorem with dependent sources, maximum-power transfer, first-order RC transients, AC phasor mesh analysis, complex power / power factor, and Laplace-domain (s-domain) circuit analysis; W. H. Hayt, J. E. Kemmerly & S. M. Durbin, Engineering Circuit Analysis (9th ed.) — companion treatment of the second-order source-driven RLC network and the initial-condition models used in Q6.

Closed-book national examination, 3 hours, six questions of equal value; any five constitute a complete paper. All six are solved here. A Laplace-transform table and a star–delta conversion table are supplied on the last two pages of the exam. Phasor magnitudes are quoted as magnitude $\angle$ angle with angles in degrees; a common cosine time reference is used, and the source marked rms in Q5 is treated as rms.