MAKAUT Basic Electrical Engineering Organizer | ES-EE101

1. 01

   DC Network Theorems & Circuit Analysis

   4 points

   • Superposition TheoremSolves linear, bilateral networks with multiple independent sources by evaluating the individual current/voltage response of one source at a time while deactivating the rest.
   • Thevenin's and Norton's TheoremsDemonstrates the mathematical equivalence of simplifying complex linear active networks into either an equivalent voltage source in series with an impedance ($V\_{th}, R\_{th}$) or an equivalent current source in parallel with an impedance ($I\_{sc}, R\_{N}$).
   • Maximum Power Transfer TheoremEstablishes that maximum power is delivered to a load when the load resistance equals the internal source/network resistance ($R\_L = R\_{th}$), yielding a maximum conversion efficiency of 50%.
   • Star-Delta TransformationsOutlines algebraic formulas to convert star-connected resistor networks into equivalent delta-connected configurations and vice versa.
2. 02

   AC Fundamentals & Single-Phase RLC Circuits

   4 points

   • Sinusoidal Waveform PropertiesDefines key AC parameters including Peak, RMS ($V\_{rms} = \frac{V\_m}{\sqrt{2}} \approx 0.707 V\_m$), Average ($V\_{avg} = \frac{2V\_m}{\pi} \approx 0.637 V\_m$), Form Factor ($\frac{RMS}{Average} = 1.11$), and Peak Factor.
   • Purely Reactive vs. Resistive CircuitsDetails phase relationships showing current is in-phase with voltage in pure resistors, lags voltage by 90° in pure inductors, and leads voltage by 90° in pure capacitors.
   • Series RLC ResonanceDescribes the condition where inductive and capacitive reactances cancel out ($X\_L = X\_C$), resulting in a purely resistive minimum impedance ($Z = R$), unity power factor, maximum circuit current, and a resonant frequency of $f\_r = \frac{1}{2\pi\sqrt{LC}}$.
   • Quality Factor & BandwidthDefines $Q$-factor as voltage magnification at resonance ($\frac{\omega\_0 L}{R}$) and bandwidth as the frequency range between half-power points ($\Delta f = f\_2 - f\_1$).
3. 03

   Three-Phase AC Systems

   3 points

   • Star ($Y$) and Delta ($\Delta$) ConnectionsShows that in star connections, $V\_L = \sqrt{3}V\_{ph}$ and $I\_L = I\_{ph}$, whereas in delta connections, $V\_L = V\_{ph}$ and $I\_L = \sqrt{3}I\_{ph}$.
   • Balanced Star SystemsProves that the vector sum of line currents in a balanced star-connected supply with a balanced star load yields zero current in the neutral wire ($I\_N = 0$).
   • Two-Wattmeter Power MeasurementExplains total 3-phase power measurement ($P = W\_1 + W\_2 = \sqrt{3}V\_L I\_L \cos\phi$) and power factor derivation ($\tan\phi = \sqrt{3} \frac{W\_1 - W\_2}{W\_1 + W\_2}$) for balanced loads.
4. 04

   Magnetic Circuits & Single-Phase Transformers

   4 points

   • Magnetic Properties & LawsCovers Faraday's Law of Induction, Lenz's Law, magnetic reluctance, self/mutual inductance, and hysteresis loss ($W\_h = K\_h v f B\_m^n$) caused by cyclic magnetization.
   • Transformer Construction & EMF EquationExplains transformer operation based on mutual induction, deriving the induced EMF equation $E = 4.44 f N \Phi\_m$.
   • Equivalent Circuit & PhasorsModels core losses ($R\_0$) and magnetizing reactance ($X\_m$) along with primary and secondary winding resistances and leakage reactances.
   • Efficiency & Voltage RegulationAnalyzes transformer efficiency ($\eta$), proving it peaks when constant iron losses equal variable copper losses ($P\_i = P\_c$), and details voltage regulation across resistive, inductive, and capacitive loads.
5. 05

   Electrical Machines

   4 points

   • DC Generators & MotorsDerives the DC machine EMF ($E = \frac{\Phi Z N P}{60 A}$) and electromagnetic torque ($T \propto \Phi I\_a$) equations, explaining Fleming's Rules, back EMF ($E\_b$), and the necessity of starters to limit high initial armature currents.
   • Three-Phase Induction MotorsExplains the principle of a rotating magnetic field (RMF), slip ($s = \frac{N\_s - N\_r}{N\_s}$), rotor frequency ($f\_r = s f$), and torque-slip/speed characteristics.
   • Single-Phase Induction MotorsDescribes double revolving field theory, non-self-starting behavior, and starting techniques using split-phase, shading poles, and capacitors.
   • Synchronous MachinesDetails synchronous speed ($N\_s = \frac{120f}{P}$), two-reaction theory for salient pole machines, voltage regulation, and the causes/mitigation of hunting.
6. 06

   Power Electronics & Converters

   2 points

   • DC-DC ChoppersDetails Step-Down (Buck) converters ($V\_o = k V\_s$) and Step-Up (Boost) converters ($V\_o = \frac{V\_s}{1-k}$) controlled via Time Ratio Control (PWM or frequency modulation).
   • Inverters (DC to AC)Covers Single-Phase Half/Full Bridge and Three-Phase Voltage Source Inverters (VSI) in 180° and 120° conduction modes, including Sinusoidal Pulse Width Modulation (SPWM) principles.
7. 07

   Electrical Installation & Safety

   3 points

   • Wiring SystemsCompares temporary and permanent internal wiring methods including Cleat, Casing-Capping, TRS/Batten, Lead-Sheathed, and Surface/Concealed Conduit systems, alongside Joint Box vs. Loop-In wiring methods.
   • Protective DevicesDetails operating mechanisms and characteristics of Fuses (rewirable, HRC, expulsion, current-limiting), Miniature Circuit Breakers (MCB), Earth Leakage Circuit Breakers (ELCB), and Residual Current Circuit Breakers (RCCB).
   • Earthing & BatteriesOutlines neutral vs. equipment earthing (TN, TT, IT systems), power factor improvement methods, and compares primary/secondary battery technologies including Lead-Acid, SMF, and Lithium-Ion.

Why use this organizer?

• A concise summary of the concepts, for quick revision.
• Covers important topics from the MAKAUT syllabus.
• Organised so you can study efficiently, topic by topic.
• Ideal for last-minute preparation before semester exams.

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