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22-Elec-A1 Circuits: May 2014

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

  1. Question 1 DC nodal analysis with a supernode
  2. Question 2 First-order RL switching transient
  3. Question 3 AC mesh analysis, power factor and source power
  4. Question 4 Thévenin equivalent and maximum power (AC)
  5. Question 5 Second-order filter — resonance, gain and cut-off
  6. Question 6 Step response by Laplace transform

Start with Question 1 →

Paper: National Examinations — 07-Elec-A1 Circuits, May 2014. Closed-book, 3-hour paper; a Laplace-transform table is supplied in the appendix. Six questions of equal value; any five constitute a complete paper. Full worked solutions to all six questions are given below so the set can be used for study regardless of which five a candidate chose.

Reference texts: C. K. Alexander & M. N. O. Sadiku, Fundamentals of Electric Circuits (7th ed., McGraw-Hill) — nodal/mesh analysis, Thévenin’s theorem and maximum-power transfer, first-order transients, AC steady-state and resonance, and Laplace-domain circuit analysis; W. H. Hayt, J. E. Kemmerly & S. M. Durbin, Engineering Circuit Analysis (9th ed.) — companion treatment of the s-domain and initial-condition models.

each network below is redrawn element-by-element from the original drawing, and every reference-node, mesh-direction and source-polarity choice is stated with its solution so a reader can reproduce every sign. Phasor answers are quoted in magnitude∡angle form with angles in degrees; all AC sources in Q3 and Q4 are rms.