Today’s engineering graduates are no longer employed solely for the technical design aspects of engineering problems. Their efforts now extend beyond the creation of better computers and communication systems to vigorous efforts to solve socio economic problems such as air and water pollution, urban planning, mass transportation, the discovery of new energy sources. And the conservation of existing natural resources, particularly oil and natural gas. To contribute to the solution of these engineering problems an engineer must acquire many skills, one of which is a knowledge of electric circuit analysis. lf we have already entered or intend to enter an electrical engineering program, then circuit analysis likely represents one of the introductory courses in our chosen field. If we are associated with another branch of engineering, then circuit analysis may represent a large fraction of our total study of electrical engineering providing the basis for working with electronic instrumentation, electrically powered machines, and large-scale systems. Most important, however, is the possibility given to us to broaden our education and become more informed members of a team. Increasingly, such teams are multidisciplinary in composition, and effective communication within such a group can be achieved only if the language and definitions used are familiar to all.

The fundamental subject of this text is linear circuit analysis, which sometimes prompts a few readers to ask, *“Is there ever any non-linear circuit analysis?”* Of course! We encounter non-linear circuits every day: they capture and decode signals for our TVs and radios, perform calculations millions of times a second inside microprocessors, convert speech into electrical signals for transmission over phone lines, and execute many other functions outside our field of view. In designing, testing, and implementing such non-linear circuits, detailed analysis is unavoidable. *“Then why study linear circuit analysis?”* you might ask. An excellent question. The simple fact of the matter is that no physical system (including electrical circuits) is ever perfectly linear. Fortunately for us, however, a great many systems behave in a reasonably linear fashion over a limited range-allowing us to model them as linear systems if we keep the range limitations in mind.

Whether we intend to pursue further circuit analysis at the completion of this course or not, it is worth noting that there are several layers to the concepts under study. Beyond the nuts and bolts of circuit analysis techniques lies the opportunity to develop a methodical approach to problem solving, the ability to determine the goal or goals of a particular problem, skill at collecting the information needed to effect a solution, and, perhaps equally importantly, opportunities for practice at verifying solution accuracy.

## Lesson Plan

Date | Period | Topics to be covered |

UNIT I – DC CIRCUITS |
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18.06.2014 | 5 | Basic Definitions and Circuit Elements: Voltage, Current, Power, Energy, Active elements, Passive elements, Resistance, Inductance, Capacitance |

21.06.2014 | 1 | Energy Sources: Voltage and Current Sources, Dependent and Independent |

21.06.2014 | 1 | Ohm’s law: Statement and Explanation, Limitations |

23.06.2014 | 2 | Series and parallel combination of Resistance, Inductance and Capacitors |

23.06.2014 | 6 | Source Transformations: Voltage to Current, Current to Voltage |

23.06.2014 | 6 | Voltage and Current division in circuits |

23.06.2014 | 7 | Kirchhoff’s laws: Current law and Voltage law, Statement and Explanation |

25.06.2014 | 5 | Mesh analysis: Inspection method, Cramer’s rule |

30.06.2014 | 2 | Nodal Analysis: Inspection method, Cramer’s rule |

02.07.2014 | 5 | Star – Delta and Delta – Star Transformation: Explanation and Derivation |

UNIT II – AC CIRCUITS |
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05.07.2014 | 1 | Generation of AC voltage: Angular relation of a Sine wave, The Sine wave equation |

07.07.2014 | 2 | Steady state sinusoidal response of circuits containing R alone, L alone and C alone: Phase relation and Phasor diagrams |

09.07.2014 | 5 | Steady state sinusoidal response of RL, RC and RLC series circuits: Phase relation and Phasor diagrams |

14.07.2014 | 2 | Concept of complex operator ‘j’, Steady state sinusoidal response of Parallel, Series – parallel AC circuits |

14.07.2014 | 6 | Resonance in RLC series circuits: Half power frequencies, Band width, Selectivity and Q factor |

14.07.2014 | 7 | Three-phase AC Circuits: Advantages of 3-phase AC systems, Star connected network: Relationship between line and phase voltage and currents |

16.07.2014 | 5 | Delta connected network: Relationship between line and phase voltage and currents |

19.07.2014 | 1 | Unbalanced loads |

21.07.2014 | 2 | Sample Problems in 3-Phase AC Circuits |

23.07.2014 | 5 | Sample Problems in DC Circuits |

UNIT III – COUPLED CIRCUITS AND NETWORK THEOREMS |
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28.07.2014 | 2 | Coupled circuits: Self and Mutual Inductances, Coefficient of coupling |

28.07.2014 | 6 | Series and Parallel connections of coupled coils: Dot convention in coupled coils, Faraday’s Law of EMI |

28.07.2014 | 7 | Thevenin’s theorem: Statement and Applications |

30.07.2014 | 5 | Norton ‘s theorem: Statement and Applications |

02.08.2014 | 1 | Superposition theorem: Statement and Applications |

04.08.2014 | 2 | Maximum power transfer theorem: Statement and Applications |

06.08.2014 | 5 | Reciprocity theorem, Millman’s theorem: Statement and Applications |

11.08.2014 | 2 | Substitution theorem, Compensation theorem, Tellegen’s theorem: Statement and Applications |

13.08.2014 | 5 | Sample Problems in Coupled Circuits |

16.08.2014 | 1 | Sample Problems in Thevenin and Norton Theorems |

UNIT IV – TRANSIENTS |
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18.08.2014 | 2 | Laplace transform of common forcing functions: Initial value and Final value theorems |

18.08.2014 | 6 | Transient response of series circuits with DC excitation: RL Circuit: Current, Voltage and Power |

18.08.2014 | 7 | RC Circuit: Current, Voltage and Power |

20.08.2014 | 5 | RLC Circuit: Current, Voltage and Power |

25.08.2014 | 2 | Transient response of series circuits with sinusoidal excitation: RL Circuit: Current, Voltage and Power |

27.08.2014 | 5 | RC Circuit: Current, Voltage and Power |

30.08.2014 | 1 | RLC Circuit: Current, Voltage and Power |

01.09.2014 | 2 | Sample Problems in Transient response of series circuits with sinusoidal excitation |

03.09.2014 | 5 | Sample Problems in Transient response of series circuits with sinusoidal excitation |

UNIT V – GRAPH THEORY, DUALITY, TWO PORT NETWORKS |
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06.09.2014 | 1 | Concept of network graph: Terminology used in network graph, Relation between twigs and links, Properties of a tree in a graph, Formation of incidence matrix |

08.09.2014 | 2 | Tie set schedule and Cut set schedule |

08.09.2014 | 6 | Loop analysis |

08.09.2014 | 7 | Nodal analysis |

15.09.2014 | 2 | Principles of duality and dual networks |

15.09.2014 | 6, 7 | Two Port Networks: Network elements, Linear and nonlinear elements, Active and passive elements, Unilateral and bilateral elements |

17.09.2014 | 5 | Ports of Network: Z Parameters |

20.09.2014 | 1 | Y Parameters |

22.09.2014 | 2 | h parameters |

22.09.2014 | 6 | ABCD Parameters |

22.09.2014 | 7 | Condition of symmetry and reciprocity in a two port network |

## Tutorials

Date |
Tutorial Topics |
Question Paper |
Solution Manual |

30.06.2014 | Tutorial # 1: Ohm’s Law, Krichoff’s Law and Mesh analysis | Download | Download |

07.07.2014 | Tutorial # 2: Nodal Analysis, Star-Delta and Delta-Star Transformation, AC Circuits with single element | Download | Download |

21.07.2014 | Tutorial # 3: Series and/or Parallel AC Circuits, Resonance in Series Circuits | Download | Download |

04.08.2014 | Tutorial # 4: Coupled Circuits, Thevenin, Norton, Superposition and Maximum Power Transfer Theorems | Download | Download |

11.08.2014 | Tutorial # 5: Reciprocity, Millman, Substitution, Tellegen and Compensation Theorems | Download | Download |

25.08.2014 | Tutorial # 6: Transient response of series circuits with DC excitation | Download | Download |

01.09.2014 | Tutorial # 7: Transient response of series circuits with sinusoidal excitation | Download | Download |

29.09.2014 | Tutorial # 8: Graph Theory, Duality, Two Port Networks | Download | Download |