# 452-0512/01 – Circuit Theory I (TOI)

 Gurantor department Department of General Electrical Engineering Credits 6 Subject guarantor doc. Ing. Jaromír Kijonka, CSc. Subject version guarantor doc. Ing. Jaromír Kijonka, CSc. Study level undergraduate or graduate Requirement Compulsory Year 1 Semester winter Study language Czech Year of introduction 2008/2009 Year of cancellation 2009/2010 Intended for the faculties FEI, USP Intended for study types Bachelor
Instruction secured by
H1R15 Ing. Karel Chrobáček, Ph.D.
IVA10 doc. Ing. Lubomír Ivánek, CSc.
KIJ10 doc. Ing. Jaromír Kijonka, CSc.
ORS60 Ing. Petr Orság, Ph.D.
SKR15 Ing. Lubomír Skřivánek
ZAJ02 Ing. Stanislav Zajaczek, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+4
Combined Credit and Examination 8+8
Lifelong Credit and Examination 8+8

### Subject aims expressed by acquired skills and competences

The aim of education is give creative lessons in physical laws and principles to analysis of three-phase circuit, transient phenomena, two-port network, frequency response and distributed lines. After education student is able to calculated current, voltage, power and energy in circuit anyplace and then on the basis of them look on properties of electrical device. Student practices obtained knowledge and acquirements energetically.

### Teaching methods

Lectures
Individual consultations
Tutorials
Experimental work in labs
Project work

### Summary

The course "Circuit theory I" deals with the analysis of the electrical circuits - the most typical structure in the electrical engineering. Electrical circuits knowledge are basic knowledge and they are a prerequisite for advanced circuit courses (electronic, measuring and control systems, electrical machines, etc.). The basic aim is to determine voltages and currents in the electrical circuit, and then identify (from these knowledge) the properties of the circuit or system. Theses: elementary models of electromagnetic effects, circuit analysis algorithms, transients in the linear circuits (the 1. order), experimental measurements (Associate professor Josef Punčochář).

### Compulsory literature:

•Mikulec, M.: Basic Circuit Theory I.,ČVUT 1995 • Mikulec, M., Havlíček, V.: Basic Circuit Theory II.ČVUT 1996 • Havlíček, V.-Čmejla, R.: Basic Circuit Theory I. (Exercises ), ČVUT 1996 • Huelsman, P.L.: Basic Circuit Theory. Prentice-Hall International, 1991, ISBN 0-13-063157-4

### Recommended literature:

• Mayer, D.: Úvod do teorie elektrických obvodů. Celostátní učebnice SNTL/ALFA Praha 1998 • Mikulec, M.: Basic Circuit Theory I.,ČVUT 1995 • Mikulec, M., Havlíček, V.: Basic Circuit Theory II.ČVUT 1996 • Havlíček, V.-Čmejla, R.: Basic Circuit Theory I. (Exercises ), ČVUT 1996 • Huelsman, P.L.: Basic Circuit Theory. Prentice-Hall International, 1991, ISBN 0-13-063157-4

### Way of continuous check of knowledge in the course of semester

Condition for conferment of credit: Student must to obtain 3 points until the end of 14-th semester week. Student is in a position to obtain 0 to 30 points (individual work) and 0 to 10 points (semestral project).

### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

Lectures: • Determination electromagnetical phenomena by means of circuit quantities. Elementary circuit models of electromagnetical phenomena. Work, power, root-mean-square value. • Circuit analysis in harmonic steady state. • Thevenin`s and Norton`s theorem. Superposition principle. • Circuit topology. Kirchhoff`s laws. Analysis of composit electrical circuits. • Circuit analysis by means of section voltage method and loop current method. Reciprocity and compensation principles. • Resonance, quality factor, frequecy bandwidth. Immittance functions. • Inductive coupling, mutual induktance. Elementry models of transformer. • Analysis of circuit with non-linear elements. Determination of linearized differential and difference parameters. • Elementary analog signals. • Discrete signals, sampling, reconstruction. • Aproximation of non-harmonic waves by means of Fourier`s series and time series of unit steps. • Analysis of circuit with non-harmonic waves, power, power factor. • Determination of circuit parameters and immittances of technical elements. Equivalence and duality principles. • Dielectrical circuits. Seminars: • Determination of resistances and source parameters.Current and voltage deviders. • Step by step method. Transfiguration of the D-to-Y circuit. • Superposition principle. • Phasor diagrams, power, immittances. • Section voltages method. • Loop currents method. • Determination of resonace frequency, compensation of quantity and power reactive components. • Formation of circuit equations in inductive coupling circuit. • Analysis of circuit with non-linear elements. • Superposition of elementary analog functions. • Superposition of unit steps. • Analysis of circuit with non-harmonic waves. • Calculation of powers and immittances in circuit with non-harmonic waves. • Analysis of dielectrical circuits. Laboratory works: • Knowledge test. • Calculation of quantity root-mean-squar values, powers, and woks by means of scalar product of current and voltage. • Measurement of source parameters. • Verification of Thevenin`s and Norton`s theorems. • Verification of computational method, compensation and reciprocitz principles. • Measurement of devices with non-linear characteristics • Measurement of quantities in series connection of coil and condensator. • Measurement of quantities in circuits with series end paralel resonance. Calculation of quality factor. • Determination of inductive coupling parameters. • Modelling of quantities by means of goniometrical functions. • Modelling of quantities by means of unit steps. • Measurement of non-harmonic quantities in elementary circuits. • Determination of circuit parameters by means of measured instantaneous values current and voltage. • Conferment of credit. Semestral projekt: • 1. Circuit analysis by means of section voltage method and loop current method. Proofs: 1. Knowledge test. 2. Circut analysis by means of superposition principle. 3.Analysis of elementary circuit in harmonic steady state.

### Conditions for subject completion

Conditions for completion are defined only for particular subject version and form of study

### Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2009/2010 (B2648) Designing of Electric Devices P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2649) Electrical Engineering P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2009/2010 (B3943) Mechatronics P Czech Ostrava 1 Compulsory study plan
2009/2010 (B3943) Mechatronics K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2649) Electrical Engineering C Czech Ostrava 1 Compulsory study plan
2008/2009 (B3943) Mechatronics P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2648) Designing of Electric Devices P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics P Czech Rožnov pod Radhoštěm 1 Compulsory study plan
2008/2009 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Šumperk 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering K Czech Šumperk 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2008/2009 (B3943) Mechatronics K Czech Ostrava 1 Compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner