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22-Elec-A1 Circuits: December 2015

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

  1. Question 1 Bridge network — source current
  2. Question 2 AC nodal analysis with a floating source (supernode)
  3. Question 3 Source-free LC circuit — initial conditions and damping
  4. Question 4 AC power and power-factor correction
  5. Question 5 Thévenin equivalent and maximum power transfer
  6. Question 6 Laplace-domain transfer function and step response

Start with Question 1 →

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

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. Phasor results are quoted as magnitude∡angle with angles in degrees; sources marked rms are treated as rms and a common cosine time reference (ω = 377 rad/s) is used throughout Q2.