ELECTENG291 · Fundamentals of Electrical Engineering
The Complete Exam Bible · S1 2027Fundamentals of Electrical Engineering
ELECTENG 291 Fundamentals of Electrical Engineering is the University of Auckland's Stage II circuit-analysis course — 15 points in the Faculty of Engineering (Electrical and Electronic Engineering), taught on the City Campus with three one-hour lectures a week plus a weekly tutorial and fortnightly labs. It takes you from the Stage I foundations of ELECTENG 101 (the prerequisite) through the analysis, interpretation and evaluation of common DC and AC circuits, in three modules: Module 1 — Circuit Classifications & Analysis Methods (signals and sources, linearity, the load-line method, node-voltage and mesh analysis, superposition, and Thévenin/Norton equivalents); Module 2 — Transient Behaviours (capacitors and inductors, first-order RC/RL and second-order RLC circuits, and the Laplace transform for s-domain analysis); and Module 3 — AC Behaviours (sinusoids, phasors and complex impedance, and AC power characterisation via the frequency domain). There is no prescribed textbook — the electronic lecture notes are released module by module on Canvas, with Alexander & Sadiku's Fundamentals of Electric Circuits recommended (not required) for extra reading. The grade is 40% a final written exam and 60% coursework. The final examination is worth 40%, sat in-person in the Semester-1 exam period: it is on paper (Mode C — not Inspera), a printed booklet with a provided formula page and a restricted calculator, with two equal-weight free-form questions that you must justify verbally and mathematically. It is a must-sit hurdle — not sitting it gives a grade of DNS (Did Not Sit). Confirm the exact date and materials rules on Canvas and the UoA exam timetable.
What ELECTENG 291 covers
The whole course → one exam-ready map. ELECTENG 291 is assessed by a 40% final exam (in-person, on paper, two equal free-form questions) plus 60% coursework — two in-person tests (24%), three online assignments (15%), four graded labs (12%), weekly tutorials (7%) and a short online revision task (2%). The three teaching modules — Circuit Analysis Methods, Transient Behaviours and AC Behaviours — map straight onto the chapters below; each chapter links to its free guide.
How ELECTENG 291 is assessed
| Component | Weight | Format |
|---|---|---|
| Final Exam | 40% | UoA S1 exam period; in-person, on paper (Mode C), formula page + restricted calculator; two equal free-form questions |
| In-Person Tests | 24% | Two 1-hour restricted in-person tests (12% each) |
| Online Assignments | 15% | Three online assignments (5% each) |
| Laboratories | 12% | Four graded labs (3% each); Lab 1 is a mandatory ungraded induction |
| Tutorials | 7% | Eleven weekly tutorials (1% each, Weeks 2-12), capped at 7% |
| Online Revision Assignment | 2% | A short online revision task |
AC load power characterisation — the signature Module 3 exam question
- +1Read the peak phasors off the cosine forms: V = 80∠0° V and I = 5∠−45° A. The power-factor angle is θ = θ_v − θ_i = 0° − (−45°) = +45°.
- +1Complex power (peak convention) S = ½ V I* = ½ · (80∠0°) · (5∠+45°) = ½ · 400∠45° = 200∠45° VA. (I* is the conjugate of the current phasor — flip the sign of its angle, so −45° becomes +45°.)
- +1(a) Average (real) power P = Re[S] = 200 cos(45°) = 200 · 0.7071 = 141.4 W.
- +1(b) Reactive power Q = Im[S] = 200 sin(45°) = 200 · 0.7071 = +141.4 VAR (positive).
- +1(c) P = +141.4 W > 0, so the load absorbs average power. (d) θ = +45° > 0 means the current lags the voltage, so the load is inductive (an inductive load has Q > 0 / a lagging power factor, pf = cos 45° = 0.707 lagging).
- +1(e) Impedance Z = V / I = (80∠0°)/(5∠−45°) = 16∠+45° Ω = 16(cos 45° + j sin 45°) = 11.31 + j11.31 Ω. The positive reactance (X = +11.31 Ω) confirms an inductive load, and P = |I_rms|²R = (5/√2)² · 11.31 = 12.5 · 11.31 = 141.4 W checks against part (a).
Key terms
- Passive sign convention (PSC)
- The bookkeeping rule the whole course uses: current is taken to enter the '+' voltage terminal of an element, so the power it absorbs is p = +vi. Flip the assumed current arrow and every KVL/KCL sign flips with it — a reversed arrow is a classic mark-losing slip.
- Kirchhoff's laws (KVL & KCL)
- KVL: the voltages around any closed loop sum to zero. KCL: the currents into any node sum to zero. Together with Ohm's law (v = R i) they are the backbone of every DC and AC circuit solve in ELECTENG 291.
- Linear circuit
- A circuit that is both homogeneous (scaling the input scales the output: f{a·x} = a·f{x}) and additive (f{x1+x2} = f{x1}+f{x2}). Only linear circuits obey superposition; a single counter-example to either property proves non-linearity.
- Thévenin / Norton equivalent
- Any linear two-terminal network reduces to a Thévenin equivalent (open-circuit voltage V_TH in series with R_TH) or a Norton equivalent (short-circuit current I_N in parallel with R_N), where R_TH = R_N = V_TH / I_N. With a dependent source present, R_TH can even be negative.
- Time constant (τ)
- The characteristic time of a first-order circuit: τ = RC for an RC circuit and τ = L/R for an RL circuit. The response settles to within about 1% of its final value after roughly 5τ, following y(t) = y(∞) + [y(0⁺) − y(∞)]e^(−t/τ).
- Complex impedance (Z = R + jX)
- The AC generalisation of resistance: Z = R + jX Ω, where R is resistance and X is reactance (X = ωL for an inductor, X = −1/(ωC) for a capacitor). Phasor Ohm's law is V = Z·I; |Z| = √(R²+X²) and arg Z = tan⁻¹(X/R).
ELECTENG 291 FAQ
Is ELECTENG 291 hard?
It is demanding but very learnable, and it is more cumulative than conceptually deep: Module 2 (transients) leans on Module 1 (circuit laws and Thévenin), and Module 3 (AC) reuses the same solving techniques in complex arithmetic — so falling behind is what makes it hard. The pressure points students report are keeping the passive sign convention consistent, the AC-power sign of reactive power Q, and second-order (RLC) damping classification. The exam gives generous time (about 120 minutes of material with 180 minutes to write) and marks reward coherent, well-justified working — not speed — so steady weekly practice on tutorials and past tests generally makes it manageable. Confirm assessment details on Canvas.
Can AI help me with ELECTENG 291?
Yes — as a study aid, not to sit assessments for you. Sia is an AI tutor that explains ELECTENG 291 the way it is actually taught and assessed at the University of Auckland: it will walk a KVL/KCL solve step by step, re-derive a Thévenin equivalent, check your phasor and AC-power arithmetic, and quiz you on fresh numbers, checking your reasoning as you go. It does not do graded assessment for you — the University of Auckland's academic-integrity rules apply to the online assignments, tests and exam — so use it to understand the method and rehearse, and always confirm what is permitted on Canvas.
Where can I find past exam papers and practice for ELECTENG 291?
The course itself is the best source: past tests and exam material, the provided exam formula page, module supplementary problem sets and the weekly tutorials are released on Canvas, and the course notes that the four most recent past exam papers are a good indicator of difficulty (though not of this year's exact focus). Official exam solutions are not released. This guide adds original worked examples that mirror the tests' anatomy with fresh numbers, solved line by line, and you can ask Sia to generate more practice in the same pattern for any chapter. Confirm the current materials on Canvas.
What are the exam and hurdle rules for ELECTENG 291?
The 40% final exam is a must-sit hurdle: you must attempt it to be eligible for a passing grade, and not sitting it gives a grade of DNS (Did Not Sit). Lab 1 is a mandatory ungraded induction that you must complete before you may attend the later graded labs. There is no separate numeric pass-mark or plussage hurdle stated — the course is graded on the 100% total across the exam and coursework. Always confirm the current hurdle rules and dates on Canvas and the course outline.
Is the ELECTENG 291 exam open book, and what can I bring?
It is a restricted, on-paper exam (Mode C — not Inspera): a printed question/answer booklet with a provided formula page and a restricted calculator (no graphing, no full alphabet). You may bring one double-sided A4 sheet with anything you like written on it, plus your University ID and pens. The provided formula page carries only the Laplace-transform pairs/properties and the first-order general-solution form — so the impedance definitions and the AC-power formulas (P, Q, |S|, power factor) are not given and belong on your own A4 sheet. Confirm the permitted materials for your sitting on Canvas.
How to study for the exam
Treat the three modules as one growing toolkit and keep the weekly rhythm the course is built around: attend the tutorial each week (it is worth 1% a week, capped at 7%, and it is where the exam-style solving is rehearsed) and do the fortnightly labs — Lab 1 is a mandatory induction you must clear to attend the rest. Drill circuit solves by hand from Module 1, always drawing the circuit and fixing the passive sign convention first: a flipped current arrow is the single most common way marks leak. Give the two in-person tests (12% each, restricted-book, free-form, show-all-working) full past-paper reps — the four most recent papers are a good difficulty guide. Build your own double-sided A4 sheet as you go: the provided exam formula page carries only the Laplace pairs and the first-order solution, so the impedance definitions (Z_L = jωL, Z_C = 1/(jωC)) and every AC-power formula (P = ½V_pI_p cos θ, Q = ½V_pI_p sin θ, |S|, complex power S = ½V I*) must be on your sheet or in your head. For the exam, budget time in proportion to marks across the two equal free-form questions, and remember the marking ethos: coherent, well-justified working with stated assumptions and correct units earns marks even when a final number slips. Sit the past tests in timed conditions, and always write the law you are using (KVL, KCL, continuity of v_C / i_L, V = Z·I) before the numbers. Confirm the exam date and rules on Canvas and the UoA exam timetable.
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