Electric Circuit Theory

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
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
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
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
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
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

University question Papers

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