Engineering Institute of Technology
Unit Name  ELECTRICAL CIRCUIT THEORY AND ANALYSIS 
Unit Code  BEE106S 
Unit Duration  Term 
Award  Bachelor of Science (Engineering)
Duration 3 years 
Year Level  One 
Unit Creator/Reviewer 

Core/Subdiscipline  Subdiscipline 
Pre/Corequisites  BSC101C, BSC102C 
Credit Points  3
Total Program Credit Points 81 (27 x 3) 
Mode of Delivery  Online or oncampus. 
Unit Workload  (Total student workload including “contact hours” = 10 hours per week) Prerecordings / Lecture – 1.5 hour Tutorial – 1.5 hours Guided Labs / Group work / Assessments – 2 hours Personal Study (recommended)  5 hours 
Unit Description and General Aims
The objective of this unit is to familiarise the students with the various elements of electrical circuits and the behaviour of circuits when connected to a power source. Information covered in this unit will include: the fundamentals of DC and AC circuits; the measurement of voltage, current, power, resistance; and, other basic electrical concepts. Additionally, the various circuit combinations, mathematical methods for resolving DC and AC circuits, calculations for AC circuits involving the use of complex numbers in Cartesian and polar forms, the use of various circuit theorems, the maximum power transfer theorem, and the basics of resonance and harmonics in complex waveforms, will also be discussed.
Learning Outcomes
On successful completion of this Unit, students are expected to be able to:
Explain the different passive components found in electrical circuits and their behaviour.
Perform calculations involving simple circuits in DC networks including the behaviour under sudden voltage change conditions.
Explain the behaviour of passive components in AC circuits powered by single phase AC supply.
Perform calculations in AC circuits using polar and Cartesian systems (involving complex numbers) and applying various circuit theorems to solve complex networks.
Explain the analysis of complex waveforms and analyse the frequency components in commonly encountered nonsinusoidal waveforms using numerical methods.
Discuss the principles of measurement of electrical parameters using electrical instruments, bridges, and applications of electromagnetism.
Professional Development
Completing this unit may add to students professional development/competencies by:
Fostering personal and professional skills and attributes in order to:
Conduct work in a professionally diligent, accountable and ethical manner.
Effectively use oral and written communication in personal and professional domains.
Foster applicable creative thinking, critical thinking and problem solving skills.
Develop initiative and engagement in lifelong learning and professional development.
Enhance collaboration outcomes and performance in dynamic team roles.
Effectively plan, organise, selfmanage and manage others.
Professionally utilise and manage information.
Enhance technologist literacy and apply contextualised technologist skills.
Enhance investigatory and research capabilities in order to:
Develop an understanding of systematic, fundamental scientific, mathematic principles, numerical analysis techniques and statistics applicable to technologists.
Access, evaluate and analyse information on technologist processes, procedures, investigations and the discernment of technologist knowledge development.
Foster an indepth understanding of specialist bodies of knowledge, computer science, engineering design practice and contextual factors applicable to technologists.
Solve basic and openended engineering technologist problems.
Understand the scope, principles, norms, accountabilities and bounds associated with sustainable engineering practice.
Develop engineering application abilities in order to:
Apply established engineering methods to broadlydefined technologist problem solving.
Apply engineering technologist techniques, tool and resources.
Apply systematic technologist synthesis and design processes.
Systematically conduct and manage technologist projects, work assignments, testing and experimentation.
Engineers Australia
The Australian Engineering Stage 1 Competency Standards for Engineering Technologists, approved as of 2013. This table is referenced in the mapping of graduate attributes to learning outcomes and via the learning outcomes to student assessment.
Stage 1 Competencies and Elements of Competency  
1.  Knowledge and Skill Base 
1.1  Systematic, theory based understanding of the underpinning natural and physical sciences and the engineering fundamentals applicable to the technology domain. 
1.2  Conceptual understanding of the, mathematics, numerical analysis, statistics, and computer and information sciences which underpin the technology domain. 
1.3  Indepth understanding of specialist bodies of knowledge within the technology domain. 
1.4  Discernment of knowledge development within the technology domain. 
1.5  Knowledge of engineering design practice and contextual factors impacting the technology domain. 
1.6  Understanding of the scope, principles, norms, accountabilities and bounds of sustainable engineering practice in the technology domain. 
2.  Engineering Application Ability 
2.1  Application of established engineering methods to broadlydefined problem solving within the technology domain. 
2.2  Application of engineering techniques, tools and resources within the technology domain. 
2.3  Application of systematic synthesis and design processes within the technology domain. 
2.4  Application of systematic approaches to the conduct and management of projects within the technology domain. 
3.  Professional and Personal Attributes 
3.1  Ethical conduct and professional accountability. 
3.2  Effective oral and written communication in professional and lay domains. 
3.3  Creative, innovative and proactive demeanour. 
3.4  Professional use and management of information. 
3.5  Orderly management of self and professional conduct. 
3.6  Effective team membership and team leadership. 
Graduate Attributes
Successfully completing this Unit will contribute to the recognition of attainment of the following graduate attributes aligned to the AQF Level 7 criteria, Engineers Australia Stage 1 Competency Standards for Engineering Technologists and the Sydney Accord:
Graduate Attributes (Knowledge, Skills, Abilities, Professional and Personal Development)  EA Stage 1 Competencies  Learning Outcomes 
A. Knowledge of Science and Engineering Fundamentals  
A1. Breadth of knowledge of engineering and systematic, theorybased understanding of underlying principles, and depth of knowledge across one or more engineering sub disciplines 
1.1, 1.3 
1, 4, 5, 6 
A2. Knowledge of mathematical, statistical and computer sciences appropriate for engineering technology 
1.2 
2, 3, 4, 6 
A3. Discernment of knowledge development within the technology domain  1.4  1, 5 
A4. Knowledge of engineering design practice and contextual factors impacting the technology domain 
1.5 

B. Problem Solving, Critical Analysis and Judgement  
B1. Ability to research, synthesise, evaluate and innovatively apply theoretical concepts, knowledge and approaches across diverse engineering technology contexts to effectively solve engineering problems 
1.4, 2.1, 2.3 
2, 3, 4, 5, 6 
B2. Technical and project management skills to design complex systems and solutions in line with developments in engineering technology professional practice 
2.1, 2.2, 2.3, 3.2 

C. Effective Communication  
C1. Cognitive and technical skills to investigate, analyse and organise information and ideas and to communicate those ideas clearly and fluently, in both written and spoken forms appropriate to the audience 
3.2 
1, 5, 6 
C2. Ability to engage effectively and appropriately across a diverse range of cultures  3.2 

D. Design and Project Management  
D1. Apply systematic synthesis and design processes within the technology domain  2.1, 2.2, 2.3  5 
D2. Apply systematic approaches to the conduct and management of projects within the technology domain 
2.4 

E. Accountability, Professional and Ethical Conduct  
E1. Innovation in applying engineering technology, having regard to ethics and impacts including economic; social; environmental and sustainability 
1.6, 3.1, 3.4 

E2. Professional conduct, understanding and accountability in professional practice across diverse circumstances including team work, leadership and independent work 
3.3, 3.4, 3.5, 3.6 

Unit Competency and Learning Outcome Map
This table details the mapping of the unit graduate attributes to the unit learning outcomes and the Australian Engineering Stage 1 Competency Standards for the Engineering Technologist.
 Graduate Attributes  
A1  A2  A3  A4  B1  B2  C1  C2  D1  D2  E1  E2  
Engineers Australia Stage 1 Competency Standards for Engineering Technologist  1.1  











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1.5 


 







 
1.6 









 
 
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3.1 









 
 
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Unit Learning Outcomes  LO1  
 


 





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Student Assessment
Assessment Type  When Assessed  Weighting
(% of total unit marks)  Learning Outcomes Assessed 
Assessment 1 Type: Multichoice test / Group work / Short answer questions / Practical / Remote Lab / Simulation Example Topic: Electrical quantities, circuit components, and DC circuit analysis. Students may complete a quiz with MCQ type answers and solve some simple equations to demonstrate a good understanding of the fundamental concepts 
Week 3 
15% 
1, 2 
Assessment 2 Type: Multichoice test / Group work / Short answer questions / Practical / Remote Lab / Simulation Example Topic: Solving AC circuits using polar and Cartesian coordinate systems. Students may be asked to provide solutions to simple problems on various topics 
Week 6 
20% 
3 and 4 
Assessment 3 Type: Multichoice test / Group work / Short answer questions / Practical / Remote Lab / Simulation / Project / Report Example Topic: Perform electrical measurements on circuits using digital instruments such as oscilloscopes or simulate and analyse complex waveforms. 
Week 10 
20% 
6 
Assessment 4 Type: Examination An examination with a mix of descriptive questions and numerical problems to be completed within 3 hours. 
Final Week 
40% 
1 to 6 
Attendance / Tutorial Participation Example: Presentation, discussion, group work, exercises, selfassessment/reflection, case study analysis, application.  Continuous  5%  1 to 6 
Prescribed and recommended readings
Suggested Textbook
Bird John, 2013, Electric Circuit Theory and Technology, Newnes (Elsevier Science), ISBN 9780415662864
Reference Material
Circuit Theory, 2013, wikibooks.org (download link:
http://upload.wikimedia.org/wikipedia/commons/f/f8/Circuit_Theory.pdf)
Peer reviewed Journals
Knovel library: http://app.knovel.com
IDC Technologies publications
Other material and online collections as advised during the lectures
Unit Content
One topic is delivered per contact week, with the exception of parttime 24week units, where one topic is delivered every two weeks.
Topic 1
Electrical quantities, resistance in DC circuits.
Units of electrical measurements
Conductors and insulators
Introduction to circuits and Ohm’s law
Resistance and its variation with temperature
Different types of resistances and their comparison
Solving combinations of series and parallel circuits
Kirchhoff’s Law and its application in DC circuits
Voltage and current division in series/parallel circuits
Topic 2
Capacitance and capacitors
Capacitance
Parallel plate capacitor
Dielectric strength and permittivity
Electrostatic field and field strength
Series/parallel circuits with capacitive elements
Behaviour of capacitors for step variations in DC voltage
Energy stored in capacitive components
Need for discharging of capacitors to discharge stored energy
Different types of capacitors and applications
Construction of a practical capacitor and calculation of capacitance
Topic 3
Inductance and inductors
Inductance
Construction of an inductor
MMF/Ampere turns
Flux and flux density
Permeability and reluctance in a magnetic core
BH curve and saturation
Hysteresis
Behaviour of inductances for step variations in DC voltage
Energy storage in inductive components
Need for discharging of inductances to discharge stored energy
Topics 4 and 5
AC circuits
AC waveform characteristics and mathematical expression (amplitude/time relationship)
Peak and RMS values and calculation of crest (peak) factor and form factor for pure sine wave using mathematical methods
Purely resistive circuits: voltage/current relationships
Purely inductive circuits and the concept of inductive reactance
Voltage/current relationships in inductive AC circuits
Saturation and the behaviour of inductance upon saturation in an AC circuit
Hysteresis associated with AC supply and hysteresis loss
Purely capacitive circuits: Capacitive reactance, series and parallel capacitor calculations
Voltage/current phase relationships of capacitive AC circuits
Dielectric loss and loss angle in a capacitor
Concept of impedance in AC circuits and voltage/current calculations using an impedance
Power in AC circuits and the concept of power factor to calculate useful power
Resonance in AC circuitsdefinition
Series resonance
Parallel resonance
Q factor
Voltage magnification
Topics 6 and 7
Solving AC circuits using polar and Cartesian coordinates principles
Introduction to phasors and polar coordinates
Expressing an AC voltage waveform using polar coordinates
Using polar coordinate system to explain voltage/current relationship of an inductor
Using polar coordinate system to explain voltage/current relationship of a capacitor
Calculation of impedance of AC circuits using polar coordinates in series and parallel circuits
Voltage/current/impedance relationship using polar representation
Use of Cartesian coordinates to express voltage and current in AC circuits
Introduction to complex algebra and the operator ‘i’
Cartesian coordinates to represent AC circuits using complex notation
Expressing an AC voltage waveform using complex numbers
Using complex numbers to explain voltage/current relationship of an inductor
Using complex numbers to explain voltage/current relationship of a capacitor
Conversion between polar and Cartesian coordinates
Calculation of impedance of AC circuits using complex numbers in series and parallel circuits
Voltage/current/impedance relationship using complex numbers
Use of complex numbers to express voltage and current in AC circuits with a mix of components
Topic 8
Electromagnetism and its applications
The relation between current and flux produced by a conductor
The principle of flux linkage inducing a voltage in a coil
The relation between current, flux, and force on a conductor
Fleming’s rules
Application in electrical machines and transformers
Topic 9
Electrical measurements
Measurement using instrumentsBasic galvanometer principle
Analogue instruments using moving coil/moving iron principle
Use of shunts and multipliers
Ohm metres and power metres
Digital instruments and their principle
Loading effect of instruments and errors introduced
Oscilloscope as measuring device
Potentiometers
Bridges and their use in measurements
Topic 10
Circuit theorems applied to AC circuits
Constant voltage source
Constant current source
Kirchhoff’s Law as applied to AC circuits
The Superposition Theorem
Thevenin’s Theorem
Norton’s Theorem
Thevenin and Norton equivalent networks
Maximum Power Transfer Theorem
Impedance matching
Deltastar transformation for circuit reduction
Mesh current analysis in AC circuits
Nodal analysis
Example calculations
Topic 11
Complex waveforms and harmonics
General equation for a complex waveform
Harmonic synthesis
RMS, Mean and form factor for complex waveforms
Power associated with harmonic components
Resonance due to harmonics
Sources of harmonics
Harmonic analysis Fourier transform
Harmonic analysis using numerical methods from graphical/tabular data
Topic 12
Unit Review
In the final week students will have an opportunity to review the contents covered so far. Opportunity will be provided for a review of student work and to clarify any outstanding issues. Instructors/facilitators may choose to cover a specialized topic if applicable to that cohort.