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22-Elec-A1 Circuits: December 2019

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

  1. Question 1 Ladder network — equivalent resistance and node voltage
  2. Question 2 Node‑voltage analysis of a four‑node network
  3. Question 3 First‑order RC transient after a switch opens
  4. Question 4 Thévenin equivalent and maximum power transfer (AC)
  5. Question 5 Capacitor voltage by superposition
  6. Question 6 Second‑order transient by the Laplace transform

Start with Question 1 →

National Examination — 16‑Elec‑A1 Circuits, December 2019. Closed‑book, 3 hours; any five of the six questions constitute a complete paper (all six are solved here). A short Laplace‑transform table and star–delta / maximum‑power formulae are supplied with the exam.

Reference texts. C. K. Alexander & M. N. O. Sadiku, Fundamentals of Electric Circuits, 7th ed. (McGraw‑Hill); W. H. Hayt, J. E. Kemmerly & S. M. Durbin, Engineering Circuit Analysis, 9th ed. (McGraw‑Hill). Methods: series/parallel & Δ–Y reduction, nodal analysis, first‑order and second‑order transients, AC phasor / Thévenin analysis, maximum‑power transfer, superposition, and the Laplace‑transform method.

Reconstructed figures. Each network below is redrawn element‑by‑element from the paper’s figures; every reference node, source polarity, switch state and current direction used in the solution is stated alongside it so a reader can reproduce every sign. Where a component placement could not be read with certainty it is flagged in a Check note — check those against your own copy of the paper.