Fundamentals of Electric Circuits

Relations:

In order to register for the course B2B31ZEO, the student must have registered for the required number of courses in the group BEZBM no later than in the same semester.

It is not possible to register for the course B2B31ZEO if the student is concurrently registered for or has already completed the course B1B31EOS (mutually exclusive courses).

It is not possible to register for the course B2B31ZEO if the student is concurrently registered for or has previously completed the course B1B31EOS (mutually exclusive courses).

The requirement for course B2B31ZEO can be fulfilled by substitution with the course B1B31EOS.

Course guarantor:

Lecturer:

Tutor:

Supervisor:

Department of Circuit Theory

Synopsis:

The course describes the basic methods of analysis of electrical circuits. In the lectures, students are introduced to the basic active and passive circuit elements, circuit quantities, important circuit theorems and methods of circuit analysis in stationary and harmonic steady state as well as during transients caused by changes in the circuit. The seminars are aimed at practicing knowledge in the analysis of basic electrical circuits, supplemented by simulations and simple measurements.

Requirements:

Syllabus of lectures:

1. Electrical equipment and its model. Circuit quantities, characteristic values. Basic circuit elements.

2. Basic laws and theorems (Kirchhoff's laws, Thévenin's and Norton's theorems, superposition principle)

3. Stationary steady state, elementary methods of analysis of linear resistive circuits.

4. Circuit equations - circuit topology, loop current method

5. Method of nodal voltages. Comparison of basic analysis methods - examples.

6. Harmonic steady state (HUS), expression of harmonic waveforms by phasors, description of passive elements..

7. Elementary and general methods of circuit analysis in HUS. Power, power matching in HUS.

8. Frequency dependence of circuit functions. Frequency characteristics of circuits, graphical representation and approximation.

9. Resonance, resonant circuits.

10. Transients in electrical circuits. 1st order transients in DC excitation circuits.

11. 2nd order transients with DC excitation, basic oscillating RLC circuits.

12. Transients with harmonic excitation.

13. Steady state in linear circuits with periodic inharmonic excitation.

Syllabus of tutorials:

1. Electrical circuit, circuit quantities and their characteristic values.

2. Passive and active circuit elements, basic laws and theorems.

3. Circuits in stationary steady state.

4. Loop current method.

5. Nodal voltage method.

6. Phasor diagrams. Circuit equations in HUS.

7. Analysis of circuits in HUS. Power in HUS, power matching.

8. Frequency characteristics.

9. Resonances, resonant circuits.

10. First order transients in DC source circuits.

11. Second order transients in RLC circuits with DC sources (aperiodic response, damped oscillations).

12. Transients in circuits with harmonic sources.

13. Solution of circuits in periodic inharmonic steady state. Credit.

Study Objective:

The aim of the study is to acquire the basic knowledge of circuit theory necessary for further study in the field of Electronics and Communication and Bioengineering.

Study materials:

[1] J. D. Irwin, R. M. Nelms: Basic engineering circuit analysis: / 9th ed., Wiley, 2008.

[2] Mikulec M., Havlíček V.: Basic Circuit Theory, ČVUT, 2008.

[3] Mikulec M.: Basic Circuit Theory I, ČVUT, 1994.

[4] Mikulec M., Havlíček V.: Basic Circuit Theory II, ČVUT, 1996.

[5] Havlíček V., Čmejla, R.: Basic Circuit Theory I - Exercises, ČVUT, 1996.

[6] Havlíček V., Čmejla, R., Zemánek, I.: Basic Circuit Theory II - Exercises, ČVUT, 1997.

Note:

Further information:

https://moodle.fel.cvut.cz/courses/B2B31ZEO

No time-table has been prepared for this course

The course is a part of the following study plans: