# The theory of electrical circuits "(CHP) (Word)

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Contents

Introduction .............................................................................. .. .......... .... 3
Lecture 1. The basic elements of concepts and laws
Electric circuit .................................... .. .... ............................ 4
1.1. Determination of electrical circuits. The concept of current, voltage and EMF .... 4
1.2. Electrical components and properties ................ ................... 5
1.3. Electrical circuit and its components .......................................... .. .... 9
1.4. Types of compounds of elements of EC ............................................. ... ... 11
1.5. Kirchhoff's laws ..................................................................... 12
1.6. Ohm's Law ............................................................ .. ............... .. 14
1.7. Questions for self-control to lecture 1 ............................................. 15
Lecture 2. CALCULATION METHODS DC circuits ................ .... 16
2.1. The definition and calculation of direct current circuits .................. ... 16
2.2. Calculation of resistive LEC ............................................................ 18
2.3. Mesh analysis ........................................ ...................... 19
2.4. Method of node voltages ............ .. .................. .. .... .................. .. 21
2.5. Questions for self-control to lecture .......................................... 2. 23
Lecture 3. LEC under a harmonic action .................. .... ... ... 24
3.1. Harmonic oscillations and their description ............................... ......... 24
3.2. The effective value of a periodic function ........................ ... .... 25
3.3. Representation of harmonic oscillations vectors .... .................. .... 25
3.4. The relationship between the instantaneous values \u200b\u200bof voltage and current
on the elements of the chain ....................................... .. ...................... ......... .... 26
3.5. Series connection of elements R, L, C ................... ............ 30
3.6. Questions for self-control to lecture 3 .................................... .... .... 32
Lecture 4. SYMBOLIC METHOD FOR CALCULATING CIRCUIT
Harmonic current ................................................ .. .................. 33
4.1. Symbolic image of sinusoidal functions
complex values \u200b\u200b.............................................. ............... .. 33
4.2. Image of the derivative and the integral of the sine function ... ... 35
4.3. Complex resistivity and conductivity .............................. ..... 36
4.4. Ohm's law and Kirchhoff in complex form ........................... .. .... 37
4.5. Expression power in complex form. The balance of power ...... ..... 39
4.6. The condition of maximum power transfer from the source to the load ... .. 40
4.7. Questions for self-control to lecture 4 ...................... ................ ... ... 41
Lecture 5. A simple frequency-selective CHAIN \u200b\u200b............. ... .. 43
5.1. The complex transfer function ............................ ............... .... 43
5.2. The resonance phenomenon and its importance in radio engineering and telecommunication ...... ... 45
5.3. Series resonant circuit ................... ................ .... 46
5.4. Types of detuning circuit ................................................... .. .... ... .. 47
5.5. The frequency characteristics of the serial oscillating circuit. 48
5.6. Bandwidth ............................................................ .... ... 49
5.7. Questions for self-control to lecture .......................................... 5. 50

Lecture 6. The transition process in LEC ........................................... 51
6.1. The concept of the transition process ................................................... 51
6.2. Laws s

Lecture 7. Operator method CALCULATION TRANSIENT .. 58
7.1. Laplace transforms ............................................................ 58
7.2. Some properties of Laplace transform .................................. 58
7.3. Ohm's law and Kirchhoff in operator form ................................. 59
7.4. Determination of the original features of its image ..................... .. 60
7.5. The procedure for calculation of transients operator method ......... ... 61
7.6. Operator transfer function .............................................. 63
7.7. Questions for self-control to Chapter 7 ........................................ ... 65
Lecture 8. ANALYSIS IN LEC pulse impact ......... .. .... ... 66
8.1. Individual and pulse functions ................................................ 66
8.2. Transitional and impulse response .................................... ... 66
8.3. Interim analysis method LEC .............................................. ....... 68
8.4. Frequency analysis method LEC ................................................... .. 70
8.5. Questions for self-control to Chapter 8 ........................................... 73
Lecture 9. electrostatic precipitator ............................................. ... ... 74
9.1. Designation and classification of electrical filters ..................... .. 74
9.2. The performance of electric filters ........................... ... 74
9.3. Polynomial filters ....................................................... ... 76
9.4. The calculation of polynomial filters .............................................. ... 78
9.5. Questions for self-control to Chapter 9 ........................................... 80
References ....................................................................................... .. 81

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