Course Plan

Ankara University Credit: 4 ECTS Engineering Faculty Class: Lecture: 3 hours Department of Engineering Physics Problem Hours: 0 Lab: 0 PEN207 Class Hours: Monday 09:30-12:15 (3 hours) CIRCUIT DESIGN AND Classroom: Seminar Hall (Seminer Salonu) ANALYSIS Office Hours: Friday 11:00-12:00 (Circuit Theory) Attendance: Mandatory Exams: Midterm (one midterm exam) % 30 Prof. Dr. Hüseyin Sarı Final Exam % 80

Passing Grade: 60 (C3) or higher 3

Course Materials and Textbook(s) Ankara University Engineering Faculty, Lecture notes (Ppoint): Dept. of Engineering Physics huseyinsari.net.tr


Desler


Circuit Design & Analysis (http://huseyinsari.net.tr/ders-pen207.htm) 2019 Fall Main book: PEN207 Circuit Design and Analysis Temel Elektrik Mühendisli ği, Cilt 1 , Fitzgerald. A. E. Higginbotham D. E.,Grabel A. Instructor : Prof. Dr. Hüseyin Sarı (Editor: Prof. Dr. Kerim Kıymaç, 3.Edition) A.U. Engineering Faculty, Dept. of Eng. Physics

Office: Department of Eng. Phy., B-Block, Room:105 E-mail: [email protected] ● [email protected] web: www.huseyinsari.net.tr Phone: (312) 203 3424 (office) ● 536 295 3555 (cell)

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PEN207-Circuit Design & Analysis:Introduction 1 Textbooks Textbooks-Turkish Recommended Textbooks-1: Recommended (Turkish)Textbooks-3: Introductory Electric Circuits Schaum's Outline of Basic Circuit Elektrik Devreleri Elektrik Devreleri Elektrik Devreleri-I Circuit Analysis James W. Nilsson, James W. Nilsson, (Ders Kitabı ) - Teori ve Çözümlü Robert L. Boylestad Susan Riedel Analysis, 2nd Edition John O'Malley Susan Riedel Problem Çözümleri Örnekler Pearson Int. Edition 6th Ed. Palme Yayınevi (In library) (In library) (In library) Turgut İkiz , Ali Bekir Yıldız Papatya Bilim Yayınları Volga Yayıncılık

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Textbooks Textbooks-Turkish Recommended Textbooks-2: Recommended (Turkish)Textbooks-4: Introduction to Electrical Schaum's Outline of Do ğru Akım Devreleri ve Electric Circuits Engineering: 3000 Solved Problem Çözümleri Richard C. Dorf Principles & Problems In Mustafa Ya ğımlı-Feyzi Akar James A. Svoboda Applications Electric Circuits Beta Yayınları,6. Baskı, 2010. (In library) Allan R. Hambley Syed A. Nasar (In library) (In library)

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PEN207-Circuit Design & Analysis:Introduction 2 Goal of the Course Motivation We see electric circuits everywhere in our daily life from simple (city power network) to more complicated ones (radio receiver, In this class, radar, robot, cell phone, computers) • Some definitions in circuit theory will be learned, 220V • Response of circuit elements (resistor , capacitance , inductor (coil) and power sources ) will be learned, • Theories and methods to analyse circuits will be learned…

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Electricity vs Mechanics Motivation

What is the current in the circuit below?

L m

I I=? + + + V R h 30V 3Ω - - - C

V, I h, m V = IR

V30 V I = = = 10A R 3Ω 10 12

PEN207-Circuit Design & Analysis:Introduction 3 Motivation Motivation To make a circuit handle more sophisticated tasks we have to add more and also There are also very complicated circuits… different kind of circuit elements such as inductor, capacitance, and other kind of power supplies… 10 Ω

I=? 6Ω 2Ω C 2Ω A +

4Ω 5Ω 7Ω L 2A e(t) V=? 2Ω - B Can we develop a systematic way to analyse any circuits whether it is

13 simple or very complex? 15

Motivation Motivation What is the voltage (V=?) between point A and B and the current (I=?) across 10 Ω resistance in the circuit below? There are already many different softwares to analyse circuit. 10 Ω SPICE simulation CircuitLab: Online circuit simulator & schematic editor I=? 6Ω 2Ω • EasyEDA electrionic circuit design, circuit simulation and PCB design 2Ω 1Ω A • Circuit Sims • DcAcLab + • DoCircuits • PartSim + 4Ω 5Ω 7Ω 4Ω 2A • 123D Circuits 30V • TinaCloud - • Computer softwares for circuit simulation 2Ω V=? • Qucsis - • LT Spice Simulator B • Ngspice • MultiSim National Instruments It is not easy to solve this circuit! • Proteus • CircuitLogix 14 16 • XSPICE

PEN207-Circuit Design & Analysis:Introduction 4 Motivation Content of the Course

We measure almost all physical quantities such as force, light, • In this course we will focus on only the circuits consisting of temperature, pressure, mass, velocity, acceleration, even resistance , inductor and capacitors fed by Direct (DC ) or gravitational waves by converting them to current or voltage. Alternative (AC ) sources...

L Force Light I + Temperature Current 0101110 V R R Pressure Voltage - Mass C Velocity V, I

Physical Quantities Measurement Data • We will NOT deal with the circuits which have diod or transistors ! 17 19

Motivation Content of the Course

We use electric circuits to transmit and process data… • All circuits can be analyzed using only Ohm’s Law and Kirchhoff’s Law. L

I Transmission Medium Data Data + R Current Current V R 0101110 0101110 - Voltage Voltage C

Electric Electric V, I Circuit Circuit In this course; • First we will apply these laws directly to circuits. • Then we will develop more systematic methods such as Mesh and Nodal Analysis . 18 20

PEN207-Circuit Design & Analysis:Introduction 5 Calculus Skill for This Class Homework-1.1

Some algebra? Homework-1.1: 3x− y = 1 x, y=? x+ y = 3

One unknown equation: ax +b = 0 x=? Homework-1.2: x+2 y = 5 x, y=? 2x+ 4 y = 10

Two unknown equation: a1x1+ a 2 x 2 = b 1 x1 = ? Homework-1.3: −2x + y = 0 x, y=? ax+ a x = b x2 = ? 31 4 2 2 4x− 2 y = 0

a1x1+ a 2 x 2 = 0 a a det1 2 = 0 a a a3x1+ a 4 x 2 = 0 3 4 Homework-1.4: 3x− y + z = 4 x, y, z=? x+ y − z = 0 x+2 y − 3 z =− 4 21 23

Calculus Skill for This Class Derivative In physics most of the time we would like to know the change in physical quantities rather than the quantities itself. Derivative is a tool to give us this change. Three unknown equation: a11x1+ a 12 x 2 + a 13 x 3 = b 1 x1, x2, x3 =?

a21x1+ a 22 x 2 + a 23 x 3 = b 2 dy(t ) yt( ) = Aebt⇒ = Abe bt = b y( t ) a31x1+ a 32 x 2 + a 33 x 3 = b 3 dt

Derivative of some trigonometric functions: dy( t ) b1 a12 a 13 a11b1 a 13 a11 a 12 b1 ytt( ) = sin ⇒ = cos t dt b2 a22 a 23 a21b2 a 23 a21 a 22 b2 b a a ab a a a b dy( t ) x = 3 32 33 x = 313 33 x = 31 32 3 ytt( ) = co s ⇒ = − sin t 1 a a a 2 a a a 3 a a a 11 12 13 11 12 13 11 12 13 dt a21 a 2 2 a 23 a21 a 22 a 23 a21 a 22 a 23 In physics derivative of a function with respect to

a31 a 32a 33 a31 a 3 2 a33 a31 a 32a 33 time (t) can be sometime indicated as follows: dx( t ) ≡x
( t ) = v dt 2 22 d x( t ) 24 ≡x

( t ) = a dt 2

PEN207-Circuit Design & Analysis:Introduction 6 Differantial Equations Expression of a periodic function in terms of exponential function 2 Differential equations are the equations that includes derivatives (dx/dt) as an d x( t ) dx( t ) i) If b=0 the root s become imaginary s=i ω: a2 +b + cx( t ) = 0 unknown rather than simple unknown (x) itself. x(t) dt dt d2 x( t ) A a+ cx( t ) = 0 dt 2 dx( t ) st t a+ bx( t ) = 0 1 order ( dx/dt ) , linear xt( ) = Ae iωt dt and homogeneous (=0) xt( )= A cos(ω t + φ ) -A dxt2 () dxt () 2nd order (d2x/dt 2) , linear a2 + b + cx( t ) = 0 and homogeneous (=0) dt dt ii) If b≠0 the roots are become complex number s= α+i ω: d2 x() t dx () t x(t) a+ b + cx( t ) = 0 2 nd 2 2 dt2 dt d x() t dx () t 2 order ( d x/dt ) , A a2 + b + cx( t ) = fsi n ()ω t linear and (α ω+i ) tα t iωt dt dt non homogeneous ( ≠0) x( t ) = Ae = Ae e

2 nd 2 2 t d2 x() t  dx () t 2 order (d x/dt ), (d2x/dt 2)2 non linear and a2  + b + cx( t ) = fsin ()ω t dt  dt non homogeneous ( ≠0) x(t )=A e αt e iωt = (Ae−at ) c os(ωt ) 25 -A

Differantial Equations Exponential Functions d2 x() t dx () t a+ b + cx( t ) = 0 ax

+ bx
+ cx = 0 dt2 dt dx( t ) = sAe st x(t) Solution: x( t ) = Ae st dt d2 x( t ) = s2 Ae st dt 2

2 st st 2 (as+ bs + c) Ae = 0 Ae≠ 0⇒ ( as+ bs + c ) = 0 Ae −ωt Ae +ωt We can convert differantial as2 + bs + c = 0 equatin to an algebraic equation Ae ±iω t 2 −b ± b − 4 ac 2 2 α =b > 4 ac t −b ± b − 4 ac 2a s= =α ω ± i b2 − 4 ac ω = ±b2 < 4 ac 2a 2a i) If b=0 the root s become pure imaginary s=i ω: d2 x( t ) dx( t ) a+b + cx( t ) = 0 iωt Depending on the independent variable (real or imaginary number) dt 2 dt x( t ) = e behaviour of exponential function can be very different. ii) If b≠0 the roots are become complex number s= α+i ω: d2 x() t dx () t (α ω+it ) α ttiω 26 28 a+ b + cx( t ) = 0 xt( ) = e = ee dt2 dt

PEN207-Circuit Design & Analysis:Introduction 7 Some topics that we will cover in this course • Response of Circuit Elements (Resistor, Inductor, Capacitance) • Power Sources (Voltage and Current Sources) • Ohm’s Law • Kirchhoff’s Voltage Law (KVL) • Kirchhoff’s Current Law (KCL) • Series and Parallel Circuits; ∆-Y, Y-∆ Conversion • Mesh Analysis • Nodal Analysis • Alternating Current (AC) and Circuits • Avarage, Root Mean Square (RMS)

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Weekly Course Plan • Chapter-0: Introduction & Motivation (This week) • Chapter-1: Circuit Elements (2 weeks) • Chapter-2: Circuits with Resistance (3 weeks) • Chapter-3: Transition Response of Circuits (2 weeks) • Chapter-4: Exponential Inpute and Transformed Circuits (2 weeks) • Chapter-5: Steady-State AC Circuits (2 weeks) • Chapter -6: Daha Karma şık Uyarmalara Kar şı Devre Tepkileri

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PEN207-Circuit Design & Analysis:Introduction 8