# Subject description - AD2B31ZEO

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AD2B31ZEO | Fundamentals of Electrical Circuits | Extent of teaching: | 14KP+6KS | ||
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Guarantors: | Roles: | P,V | Language of teaching: | CS | |

Teachers: | Completion: | Z,ZK | |||

Responsible Department: | 13131 | Credits: | 5 | Semester: | L |

**Anotation:**

**Study targets:**

**Course outlines:**

1. | Electrical devices and its models. Circuit variables (voltage, current, power) and its basic quantities. Basic ideal passive and active circuit elements, Ohms'law. | |

2. | Basic laws and theorems (Kirchhoff's circuit laws, Thévenin's and Norton's theorem, superposition theorem), examples of application (equivalence of circuit elements, voltage divider, current divider, actual sources). | |

3. | Procedures and methods of electrical circuits analysis. Elementary analysis of linear resistive circuits. Circuits excited by one and several independent sources. | |

4. | Power and power matching in resistive circuits. Working states of electrical circuits (transients, steady state). DC steady state, circuit model in DC steady state. | |

5. | General methods of resistive circuits analysis - circuit equations (circuit topology, loop analysis, nodal analysis). | |

6. | Sinusoidal steady state, representation of a sine wave as a phasor, circuit elements at sinusoidal excitation, impedance and admittance. Phasor diagrams. | |

7. | Elementary and general methods of electrical circuits analysis in sinusoidal steady state. Power, power matching. | |

8. | Frequency dependence of network functions (impedance, admittance, transfer function). Frequency response, its graphical representation, asymptotic approximation. | |

9. | Resonance, resonant circuits and its frequency response. Linear circuit containing energy storage elements, circuit equations in the time domain. | |

10. | Transients in electrical circuits. Transients in the 1st order circuit excited by DC source. | |

11. | Transients in the 2nd order circuit excited by DC source - aperiodic and quasiperiodic case, oscillating RLC circuits. | |

12. | Transients with sinusoidal excitation. Transient analysis using Laplace transform. | |

13. | Excitation by single pulses. Relationship among description and behavior of circuits in time and frequency domain. Steady state in linear circuit excited by periodical non-sinusoidal source. | |

14. | Recapitulation, comparison of methods of electrical circuits analysis. Some other problems of the circuit analysis. |

**Exercises outline:**

1. | Introduction. Electrical voltage and current, sources of electrical energy, loads, electrical circuit and its physical analogies. | |

2. | Circuit variables and its basic quantities. Ideal passive and active circuit elements, Ohm's law, electrical circuit. | |

3. | Kirchhoff's laws. Series and parallel connection of resistors (common voltage or common current), voltage divider and current divider. Connection of ideal independent sources. | |

4. | Thévenin's and Norton's theorems, substitution of sources, loaded dividers. Superposition theorem. Elementary analysis of linear resistive circuits. | |

5. | Series and parallel connection of actual electrical sources. Power supplied by the source, power absorbed by the resistor, power matching. | |

6. | Nodal analysis and loop analysis of resistive circuits. Input and output resistance of two-port circuit. | |

7. | Representation of a sine wave by a phasor, circuit elements at sinusoidal excitation, impedance and admittance. Simple circuits in the sinusoidal steady state, integrating and differentiating circuits. | |

8. | Phasor diagrams. Power and power matching in the sinusoidal steady state. Nodal and loop analysis using phasors. | |

9. | Frequency responses of integrating and differentiating circuit, frequency range of valid operation, PWM. Frequency response of more complex circuits. | |

10. | Resonance, resonant circuits. Voltage-current relationship of an energy storage elements. Capacitor supplied by constant current, inductor supplied by constant voltage. | |

11. | Transients in the 1st order circuits excited by DC (constant) source and/or by AC (sinusoidal) source. | |

12. | Transients in the 2st order RLC circuits excited by DC (constant) source, aperiodic and quasiperiodic (damped oscillations) case. | |

13. | Transient analysis using Laplace transform, excitation by single pulses. | |

14. | Reserve, recapitulation, assessment. |

**Literature:**

[1] | Mikulec M., Havlíček V.: Basic Circuit Theory, Vydavatelství ČVUT, Praha, 2008, ISBN 80-01-02127-0 | |

[2] | Irwin, J. D., Nelms R. M.: Basic engineering circuit analysis: / 9th ed., Wiley, 2008, ISBN 0470128690 | |

[3] | Floyd T. L.: Principles of Electric Circuits, Conventional Current Version, 8th ed., Pearsen Prentice Hall, ISBN 0-13-170179-7 | |

[4] | Alexander Ch. K., Sadiku M., N. O.: Fundamentals of Electric Circuits, 3rd ed., Mc Graw Hill, ISBN: 978-0-07-297718-9 |

**Requirements:**

**Webpage:**

**Subject is included into these academic programs:**

Page updated 6.12.2019 17:52:32, semester: Z,L/2020-1, L/2018-9, Z,L/2019-20, Send comments about the content to the Administrators of the Academic Programs | Proposal and Realization: I. Halaška (K336), J. Novák (K336) |