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22-Elec-A1 Circuits: May 2017

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

  1. Question 1 Equivalent resistance, source current and a branch current
  2. Question 2 Mesh analysis with a dependent source
  3. Question 3 First-order $RL$ transient (switch closes)
  4. Question 4 AC steady-state analysis and phasor diagram
  5. Question 5 Thévenin equivalent and maximum power transfer
  6. Question 6 Laplace (s-domain) step response

Start with Question 1 →

Reference texts: C. K. Alexander & M. N. O. Sadiku, Fundamentals of Electric Circuits (7th ed., McGraw-Hill) — series/parallel and Δ–Y reduction, mesh/nodal analysis with dependent sources, first-order transients, AC phasor analysis, Thévenin equivalents, maximum-power transfer and Laplace (s-domain) analysis; W. H. Hayt, J. E. Kemmerly & S. M. Durbin, Engineering Circuit Analysis (9th ed.) — companion treatment of super-mesh/super-node bookkeeping and 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. 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; a sine (peak) time reference is used in Q4 to match the source $100\sin377t$, and the sources marked rms in Q5 are treated as rms.