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22-Elec-A1 Circuits: Undated paper

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

  1. Question 1 Equivalent resistance and branch currents of a bridge network
  2. Question 2 Node-voltage analysis with a floating source (supernode)
  3. Question 3 First-order RC switching transient
  4. Question 4 Thévenin equivalent with a controlled source, and maximum power transfer
  5. Question 5 AC node-voltage analysis
  6. Question 6 Second-order transient by the Laplace method

Start with Question 1 →

National Exam — 16-Elec-A1 Circuits. 3 hours, closed-book; one approved Casio/Sharp calculator permitted. Any five of the six questions constitute a complete paper and all are of equal value — all six are solved in full below. A Laplace-transform table and a Δ–Y conversion set are supplied on the exam’s last two pages.

Reference texts: C. K. Alexander & M. N. O. Sadiku, Fundamentals of Electric Circuits (7th ed., McGraw-Hill) — series/parallel reduction, the Wheatstone bridge, nodal analysis, first-order RC/RL transients, phasor (AC) analysis, Thévenin’s theorem, maximum power transfer, and the Laplace-transform method; W. H. Hayt, Engineering Circuit Analysis (9th ed.) for the dependent-source and second-order (RLC) material.

Each reference node, source polarity and current direction is stated alongside the working so a reader can reproduce every sign.