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22-Elec-A1 Circuits: December 2016

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

  1. Question 1 Equivalent resistance and loaded node voltage
  2. Question 2 Mesh equations and the 20 V source current
  3. Question 3 First-order RC switching transient
  4. Question 4 AC nodal analysis and the capacitor current
  5. Question 5 Thévenin equivalent and maximum power transfer
  6. Question 6 Laplace-domain step-like response

Start with Question 1 →

Reference texts: C. K. Alexander & M. N. O. Sadiku, Fundamentals of Electric Circuits (7th ed., McGraw-Hill) — series/parallel and Δ–Y reduction, mesh and nodal analysis with dependent sources, first-order RC transients, AC phasor analysis, Thévenin equivalents, maximum-power transfer and Laplace (s-domain) circuit analysis; W. H. Hayt, J. E. Kemmerly & S. M. Durbin, Engineering Circuit Analysis (9th ed.) — companion treatment of supermesh/supernode bookkeeping and the initial-condition inductor model 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 written as magnitude $\angle$ angle with angles in degrees; a common cosine time reference is used unless noted, and the sources marked rms in Q5 are treated as rms.