Course detail

# Basics of Electrotechnics

FSI-RENAcad. year: 2020/2021

Ohm´s law, resistivity and resistance, Kirchhoff´ laws, ideal voltage and current sources, methods for analysis of linear DC circuits (sequential simplification, equivalent replacement of voltage source and current source, Thevenin´s theorem, method of loop currents and nodal voltages - with explanation of their unsuitability for manual solution (without software algorithms), transfiguration star - delta, repeating and fixation of geometrical interpretation of differentiation, indefinite and definite integration, ideal inductor, ideal capacitor, reactance, passive linear AC circuits, power matching, linear inertial and non-inertial two-port - typical practical applications, real inductor (coil) and real capacitor, basic knowledge about symmetrical three-phase network, definitions and consequences of basic values in electro-magnetism.

Supervisor

Learning outcomes of the course unit

An ability to design or analyze linear DC and AC electric circuits.

Prerequisites

Mathematic knowledge on secondary school level and 1st year technical university level.

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

skriptum FEKT: Elektrotechnika 1, doc. Ing. Jiří Sedláček, CSc.
doc. Ing. Miloslav Steinbauer, Ph.D. (CS)

Patočka M., Vorel P.: Řídicí elektronika - pasivní obvody

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline. Teaching is supplemented by exercises.

Assesment methods and criteria linked to learning outcomes

Requirements for the classified accreditation:

At least 15 points in sum of both semester tests are necessary to enable the participation on the final accreditation test.

Evaluation:

1st semester test: 10points

2nd semester test: 20points

Final accreditation test: 70points

Language of instruction

Czech

Work placements

Not applicable.

Aims

Basic knowledge of solution of linear DC and AC circuits including linear two-ports, understanding of principles and consequences of inductance and capacitance behavior, basic orientation in principles and values of electro-magnetism.

Specification of controlled education, way of implementation and compensation for absences

Attendance at the practical training is obligatory.

Classification of course in study plans

- Programme B-MET-P Bachelor's, 1. year of study, summer semester, 4 credits, compulsory

#### Type of course unit

Lecture

26 hours, optionally

Teacher / Lecturer

Syllabus

1. Ohm´ s law, conductor resistance, resistivity, resistance temperature dependence, parallel and series resistors, Kirchhoff´s laws, V-A characteristics and internal resistance of an ideal voltage or current source, real voltage source, unloaded and loaded resistive divider.

2. Method of sequential simplification, principle of superposition, Thevenin´s theorem.

3. Method of loop currents and node voltages. Transfiguration star - delta. Improving the geometrical interpretation of the mathematical operations: differentiation, indefinite and definite integration. Average value definition. Instantaneous and true (average) power, typical examples.

4. Ideal inductor, basic equation, consequences. RL circuit behavior - exponential transient effects at the DC supplying. Harmonic supplying of an ideal inductor, reactance.

5. Ideal capacitor, analogical explanation like at the ideal inductor incl. transients and harmonic supplying (reactance).

6. Passive AC linear circuits - principle and advantages of using of complex numbers, operations with complex numbers, implementation of the complex number to the previously defined reactances. Susceptance, impedance and admittance. Intuitive understanding of the Fourier transform. Phasor diagrams.

7. Power matching in DC circuits. Instantaneous and true power in AC circuits (harmonic supplying). Reactive and apparent power. Power factor. Power matching in AC circuits.

8. Linear/non-linear two-ports. Voltage transfer definition - module and phase frequency characteristics. Linear distortion of signals. nonlinear distortion of signals in non-linear two-ports.

9. Typical passive linear two-ports - integration RC circuit - module and phase frequency characteristics, differential equation in the time domain, voltage step response, theoretical and practical consequences. Analogical information about the derivative RC circuit. Resistive divider with an output capacitor, compensation of this capacitance.

10. Input and output impedance of a linear two-port. Input and output impedance of RC integration and derivative circuit. Wien bridge, shunted T-network. Real coil - tg delta, quality factor. Model with a series or parallel dissipative resistor.

11. Real capacitor - the same consequences like for the real coil. Series and parallel resonant circuit.

12. Basic values of the electro-magnetism, their interpretation and mutual relations. Energy of the magnetic field.

13. Continuation the electro-magnetism (coil and other applications), simple analysis of an electromagnet. Basic knowledge about a three-phase system.

Laboratory exercise

26 hours, compulsory

Teacher / Lecturer

Syllabus

1. Methods for solving DC circuits.

2. Ideal inductor and capacitor.

3. Transient effects in RC and RL circuits.

4. AC circuits, reactance, susceptance, impedance, admittance.

5. Linear two-ports, frequency characteristics.

6. Electro-magnetism.

eLearning

**eLearning:** currently opened course