Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
Reference texts: C. K. Alexander & M. N. O. Sadiku, Fundamentals of Electric Circuits (7th ed., McGraw-Hill) — series/parallel and Δ–Y reduction, superposition, node analysis with dependent sources, first-order RC transients, AC phasor/node analysis, Thévenin equivalents and maximum-power transfer, and Laplace (s-domain) analysis of second-order circuits; W. H. Hayt, J. E. Kemmerly & S. M. Durbin, Engineering Circuit Analysis (9th ed.) — companion treatment of the initial-condition source 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 as a study resource. 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; because $e$ and $i$ in Q5 are written as $40\sqrt2\cos$ and $5\sqrt2\cos$ (peak $=\sqrt2\times$rms), rms phasors $\mathbf E=40\angle30^\circ$ V and $\mathbf I=5\angle0^\circ$ A are used so the computed power is in watts directly.
