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# Note for Circuit Theory - CT By ANNA SUPERKINGS

• Circuit Theory - CT
• Note
• ANNA UNIVERISTY - HITECH
• Electronics and Communication Engineering
• 4 Topics
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EE6201 CIRCUIT THEORY OBJECTIVES: To introduce electric circuits and its analysis To impart knowledge on solving circuits using network theorems To introduce the phenomenon of resonance in coupled circuits. To educate on obtaining the transient response of circuits. To Phasor diagrams and analysis of three phase circuits UNIT I BASIC CIRCUITS ANALYSIS Ohm’s Law – Kirchoffs laws – DC and AC Circuits – Resistors in series and parallel circuits – Meshcurrent and node voltage method of analysis for D.C and A.C. circuits – Phasor Diagram – Power,Power Factor and Energy UNIT II NETWORK REDUCTION AND NETWORK THEOREMS FOR DC AND AC CIRCUITS Network reduction: voltage and current division, source transformation – star delta conversion. Thevenins and Novton & Theorem – Superposition Theorem – Maximum power transfer theorem –Reciprocity Theorem. UNIT III RESONANCE AND COUPLED CIRCUITS Series and paralled resonance – their frequency response – Quality factor and Bandwidth Self andmutual inductance – Coefficient of coupling – Tuned circuits – Single tuned circuits. UNIT IV TRANSIENT RESPONSE FOR DC CIRCUITS Transient response of RL, RC and RLC Circuits using Laplace transform for DC input and A.C. withsinusoidal input – Characterization of two port networks in terms of Z, Y and h parameters. UNIT V THREE PHASE CIRCUITS Three phase balanced / unbalanced voltage sources – analysis of three phase 3-wire and 4wire circuits with star and delta connected loads, balanced & un balanced – phasor diagram of voltages and currents – power and power factor measurements in three phase circuits. TEXT BOOKS: 1. William H. Hayt Jr, Jack E. Kemmerly and Steven M. Durbin, “Engineering Circuits Analysis”,Tata McGraw Hill publishers, 6th edition, New Delhi, 2003. 2. Joseph A. Edminister, Mahmood Nahri, “Electric circuits”, Schaum’s series, Tata McGrawHill,New Delhi, 2001. REFERENCES: 1. Paranjothi SR, “Electric Circuits Analysis,” New Age International Ltd., New Delhi, 1996. 2. Sudhakar A and Shyam Mohan SP, “Circuits and Network Analysis and Synthesis”, Tata McGrawHill, 2007. 3. Chakrabati A, “Circuits Theory (Analysis and synthesis), Dhanpath Rai & Sons, New Delhi, 1999. 4. Charles K. Alexander, Mathew N.O. Sadiku, “Fundamentals of Electric Circuits”, Second Edition, McGraw Hill, 2003. SCE 3 of 162 ------ ELECTRICAL AND ELECTRONICS ENGINEERING

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EE6201 CIRCUIT THEORY SL. NO. CONTENTS UNIT I BASIC CIRCUITS ANALYSIS 1.1. INTRODUCTION: 1.2. BASIC ELEMENTS & INTRODUCTORY CONCEPTS: 1.3. KIRCHOFF'S LAW 1.4. PROBLEMS AND CALCULATIONS: 1.5. DC CIRCUITS: 1.6. AC CIRCUITS: 1.7. DIFFERENCE BETWEEN AC AND DC: 1.8. PARALLEL NETWORKS: 1.9. MESH ANALYSIS: 1.10. NODAL ANALYSIS: PAGE NO 6 6 6 7 9 12 12 13 15 17 24 36 QUESTION BANK UNIT II NETWORK REDUCTION AND NETWORK THEOREMS FOR DC ANDAC CIRCUITS 2.1. NETWORK REDUCTION: 2.2. VOLTAGE AND CURRENT DIVISION: 2.3. POTENTIAL DIVIDER: 2.4. VOLTAGE SOURCE TO CURRENT SOURCE TRANSFORMATION: 2.5. CURRENT SOURCE TO VOLTAGE SOURCE TRANSFORMATION: 2.6. STAR DELTA CONVERSION: 2.7. THEVENINS THEOREM: 2.8. NORTON’S THEOREM: 42 42 42 42 47 47 47 51 57 QUESTION BANK 60 UNIT III RESONANCE AND COUPLED CIRCUITS 3.1. SERIES AND PARALLEL RESONANCE THEIR FREQUENCY RESPONSE 3.2. QUALITY FACTOR AND BANDWIDTH 3.3. SELF AND MUTUAL INDUCTANCE 3.4. COEFFICIENT OF COUPLING 3.5. TUNED CIRCUITS 66 66 67 70 72 73 QUESTION BANK 76 UNIT IV TRANSIENT RESPONSE FOR DC CIRCUITS 4.1. INTRODUCTION: 4.2. TRANSIENT RESPONSE OF RL CIRCUITS: 4.3. TRANSIENT RESPONSE OF RC CIRCUITS 4.4. TRANSIENT RESPONSE OF RLC CIRCUITS 4.5. CHARACTERIZATION OF TWO PORT NETWORKS IN TERMS OF Z,Y AND 4.6. H PARAMETERS. 93 93 94 99 101 104 109 QUESTION BANK UNIT – V ANALYSING THREE PHASE CIRCUITS SCE 4 of 162 138 ELECTRICAL AND ELECTRONICS ENGINEERING

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EE6201 5.1. 5.2. CIRCUIT THEORY INTRODUCTION: PHASOR DIAGRAM OF THREE PHASE SUPPLY: QUESTION BANK MODEL QUESTION PAPERS SCE 5 of 162 138 138 149 152 ELECTRICAL AND ELECTRONICS ENGINEERING

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EE6201 CIRCUIT THEORY UNIT I BASIC CIRCUITS ANALYSIS Ohm’s Law – Kirchoffs laws – DC and AC Circuits – Resistors in series and parallel circuits – Meshcurrent and node voltage method of analysis for D.C and A.C. circuits – Phasor Diagram – Power,Power Factor and Energy 1.1.INTRODUCTION: The interconnection of various electric elements in a prescribed manner comprises as an electric circuit in order to perform a desired function. The electric elements include controlled and uncontrolled source of energy, resistors, capacitors, inductors, etc. Analysis of electric circuits refers to computations required to determinethe unknown quantities such as voltage, current and power associated with one or more elements in the circuit. To contribute to the solution of engineering problems one must acquire the basic knowledge of electric circuit analysis and laws. Many other systems, like mechanical, hydraulic, thermal, magnetic and power system are easy to analyze and model by a circuit. To learn how to analyze the models of these systems, first one needs to learn the techniques of circuit analysis. We shall discuss briefly some of the basic circuit elements and the laws that will help us to develop the background of subject. 1.2. BASIC ELEMENTS & INTRODUCTORY CONCEPTS: Electrical Network: A combination of various electric elements (Resistor, Inductor, Capacitor, Voltage source, Current source) connected in any manner what so ever is called an electrical network. We may classify circuit elements in two categories, passiveand active elements. Passive Element: The element which receives energy (or absorbs energy) and then either converts it into heat (R) or stored it in an electric (C) or magnetic (L) field is called passive element. Active Element: The elements that supply energy to the circuit is called active element.Examples of active elements include voltage and current sources, generators, and electronic devices that require power supplies. A transistor is an active circuit element, meaning that it can amplify power of a signal. On the other hand, transformer is not an active element because it does not amplify the power level and power remains same both in primary and secondary sides. Transformer is an example of passive element. Bilateral Element: Conduction of current in both directions in an element (example: Resistance; Inductance; Capacitance) with same magnitude is termed as bilateral element. Unilateral Element: SCE 6 of 162 ELECTRICAL AND ELECTRONICS ENGINEERING