IOE BEI / BCT Year I • Part II

ENEE 154 — Electrical Circuits and Machines

Exam-oriented study notes, rigorous step-by-step derivations, verified numerical standard solutions, and in-depth PYQ analysis from 2081 Ashwin to 2083 Baishakh.

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Formula Sheet

All 9 chapters summarized with variables, units & constraints.

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Derivations Sheet

Every core derivation with assumptions, algebraic steps & PYQ frequency.

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PYQ Bank (2081-83)

4 full exam papers fully solved with step-by-step calculations.

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Last-Day Revision

Must-know concepts, common calculation traps & rapid roadmap.

1. Official Syllabus Weightage & Exam Blueprint

According to the official Tribhuvan University Institute of Engineering (IOE) curriculum for ENEE 154 (BEI / BCT), the final theoretical examination carries 60 marks (Pass Mark: 24, Time: 3 hours).

Chapter # Chapter Name Teaching Hours Expected Marks Priority Level Typical Exam Question Type
1 Transients in Electric Circuit 7 hrs 7 M High Nodal/Mesh with dependent sources [6M] + Initial conditions \(i(0^+), di/dt\) [5M]
2 Classical Transient Analysis (R-L-C) 10 hrs 10 M High Differential equation derivation + step/exp excitation numerical [6M]
3 Transient Analysis Using Laplace Transform 7 hrs 7 M High Transformed s-domain circuit with initial generators [6M]
4 Network Transfer Function & Bode Plot 8 hrs 8 M High Asymptotic Bode magnitude & phase plot [7-8M]
5 Two-Port Parameters of Network 8 hrs 8 M High Parameter evaluation (Z/ABCD/h) + Conversion/Cascade derivation [5-6M]
6 Magnetic Circuit and Induction 3 hrs 3 M Medium Series-parallel magnetic circuit with air gap numerical or short note [3-5M]
7 Transformers 6 hrs 6 M High Constancy of core flux proof [5M] + OC/SC test numerical or efficiency [5M]
8 DC Machine 5 hrs 5 M High Torque derivation & Back EMF [4+2M] + Speed control numerical [5-6M]
9 AC Motor 6 hrs 6 M High RMF production proof [5M] + Torque-slip curve + Slip calculation [5-6M]
TOTAL 60 hrs 60 Marks - Attempt ALL 10 Questions (with internal choice in Q10)
Syllabus Note on Marks Distribution

The official syllabus notes: "There may be minor deviation in marks distribution." In actual past papers (2081 Ashwin, 2082 Baishakh, 2082 Bhadra, 2083 Baishakh), questions 1–4 consistently test Circuit Analysis & Transients (23–24 marks), questions 5–6 test Frequency Response & Two-Port Parameters (13–14 marks), and questions 7–10 test Machines & Electromagnetics (23–24 marks).

2. Recommended Learning Sequence

To score top marks in IOE engineering examinations, do not memorize final answers or problem solutions blindly. Follow this seven-phase sequence:

01
Concept & Physics — Understand the physical behavior of inductors, capacitors, magnetic cores, commutators, and rotating fields.
02
Governing Equations — State the mathematical relations, variable definitions, and boundary conditions clearly.
03
Step-by-Step Derivation — Practice writing derivations algebraically without skipping steps (e.g. series RLC ODE, Laplace s-domain impedance, DC motor torque, RMF constant magnitude \(1.5 \Phi_m\)).
04
Standard Numerical Layout — Apply the 8-part format: Given → Required → Principle → Equation → Substitution → Calculation → Final Answer with Units → Engineering Check.
05
PYQ Cross-Verification — Match every solved problem with past question variations to see how IOE twists parameters.
06
Last-Day Rapid Revision — Review comparison tables, common sign/unit traps, and the final formula sheet.

3. Major Exam Trends Identified Across 2081–2083 Papers

Initial Conditions (\(t=0^+\)) Tested 4/4 Exams

Appears every semester in Question 2 for 5 marks. In fact, the exact same two-mesh circuit with a \(1\text{H}\) inductor, \(10\,\Omega\) resistors, and \(1\text{F}\) capacitor was repeated in 2081 Ashwin and 2083 Baishakh!

Asymptotic Bode Plots Tested 4/4 Exams

Always carries 7 or 8 marks. Features double poles at the origin (\(1/s^2\)), quadratic poles, or left-half plane zeros. Requires systematic corner frequency tables and magnitude/phase slope sketches.

Transformer Core Flux & Tests Tested 4/4 Exams

The proof that "main magnetic flux in transformer core is independent of load" appeared in 2081 Ashwin, 2082 Bhadra, and 2083 Baishakh. OC/SC test parameter calculation appeared in 2082 Baishakh.

DC Motor Starting & Back EMF Tested 4/4 Exams

Conceptual justification of why DC motors draw huge starting current and how a 3-point starter protects the armature, along with speed control numerical calculations (\(N \propto E_b/\Phi\)).

4. Jump Directly to Chapters

Chapter 1: Network Transients & Elements

Dependent source nodal/mesh analysis, initial condition evaluation at \(t=0^+\).

Chapter 2: Classical Transient Analysis

First and second order ODEs, complementary functions, particular integrals.

Chapter 3: Laplace Transform Transients

Transformed element models, initial condition generators, partial fractions.

Chapter 4: Transfer Functions & Bode Plots

Poles, zeros, asymptotic Bode magnitude and phase plotting, passive filters.

Chapter 5: Two-Port Parameters

Z, Y, ABCD, h parameter calculations, cascade interconnection, reciprocity.

Chapter 6: Magnetic Circuits & Induction

Reluctance, air gap MMF calculation, hysteresis & eddy current losses.

Chapter 7: Transformers

EMF equation, core flux constancy, equivalent circuit, OC/SC testing, efficiency.

Chapter 8: DC Machines

EMF and torque equations, back EMF, 3-point starter, speed control methods.

Chapter 9: AC Motors

Rotating magnetic field proof, torque-slip curves, 1-phase starting, stepper/BLDC.