## CIRCUIT THEORY AND ANALYSIS (CCE)

 SHE Level 1 SCQF Credit Points 20.00 ECTS Credit Points 10.00 Module Code M1H624672 Module Leader Babakalli Alkali School School of Computing, Engineering and Built Environment Subject SCEBE - School Office Trimester A (September start)

### Summary of Content

The aim of this module is to develop in the student an understanding of the fundamentals of electrical parameters and apply these fundamentals in the analysis of circuit theory to solve engineering problems required for initial design activities. It provides the student with the basic knowledge of ac and dc circuit analysis and to study capacitors, inductors and magnetic circuits and their applications.

### Syllabus

The teaching syllabus will cover the following areas: DC Circuits: Introduction to basic electrical quantities: charge, current, voltage, power, energy, and circuit elements including voltage and current sources. Basic Laws: Ohm`s law, Nodes, Branches and loops, Kirchhoff`s laws, Series resistors and voltage division, Parallel resistors and current division, Wye-Delta transformations, and application problems. Methods of Analysis: Nodal analysis, Nodal analysis with voltage sources, Mesh analysis, Mesh analysis with current sources, comparison between nodal & mesh analysis, and application problems. Circuit Theorems: Linearity property, Superposition, Source transformation, Thevenin's theorem, Norton's theorem, Maximum Power Transfer theorem, and application problems. Capacitors and Inductors: Capacitors, Series and parallel capacitors, Inductors, Series and parallel Inductors, and applications such as Integrator and differentiator. First Order Circuits (Transients): The source free RC circuit, The source free RL circuit, Singularity functions, Step response of an RC Circuit, Step response of an RL Circuit, and application problems. Sinusoids and Phasors: Sinusoids, Phasors, Phasor relationships for circuit elements, Impedance and Admittance, Impedance combinations, and application problems. Sinusoidal Steady State Analysis: Nodal analysis, Mesh analysis, Superposition theorem, Source transformation, Thevenin and Norton equivalent circuits, and application problems. Magnetically Coupled Circuits: Mutual Inductance, Energy in a coupled circuit, Linear transformers, Ideal transformers, Ideal auto-transformers, and application problems.

### Learning Outcomes

On the completion of this module the student should be able to:1. Recognize linear networks and represent these systems in schematic form including associated circuit quantities. (AM1)2. Explain the concept of inductance and capacitance and their application and solve related numerical problems. (AM1).3. Apply Kirchhoff's current and voltage laws and Ohm's law to circuit problems (AM1) (AM4)4. Analyse networks using Superposition theorem, Thevenin's and Norton's theorems and Maximum power transfer theorem. (AM1) (AM4) (AM5)5. Perform nodal and mesh analysis to solve DC and AC circuit (AM1) (AM4)6. Identify the circuit model in first order electrical systems involving capacitors and inductors (AM1)7. Predict the transient behaviour of first order circuits (AM1).8. Develop and solve equivalent circuits which include a transformer. (AM1)9. Use Computer-aided tools to solve DC and AC networks. (AM5)

### Teaching / Learning Strategy

Lectures will be used to convey basic concepts and principles with application oriented and enhance the student's knowledge and transferable skills with the help of computer based tools for effective module delivery and assessment.

### Indicative Reading

Text Book: -360 1. Charles K Alexander andSadikuMatthew N O. (2009). Fundamentals of Electric Circuits .4 th ed.Tata McGraw Hill. Reference Books: -360 1. Boylestad,R.L., (2000). Introductory Circuit Analysis. 9 th edn, New Jersy:Prentice Hall. 2. Desoer C.A and Khu,E.S. Basic Circuit Theory . 2 nd ed.New York:McGraw-Hill. Van Valkenberg.(2009).M.E. Network Analysis. 3 rd ed. Prentice Hall of India.

### Transferrable Skills

Tutorials provide: Problem Solving and Numeracy Reports provide: Communication/Literacy/Linguistic/Critical Evaluation

### Module Structure

Activity Total Hours
Independent Learning (FT) 99.00
Lectures (FT) 57.00
Practicals (FT) 28.00
Assessment (FT) 16.00

### Assessment Methods

Component Duration Weighting Threshold Description
Exam (School) 1.50 20.00 35% Mid-term test - Unseen Test: 1 hour 30 minutes
Exam (Exams Office) 2.00 50.00 45% Final Examination - unseen exam:3 hours
Coursework 1 n/a 30.00 35% Lab report : 2000 words