Contents

• 0. Circuit Variables and Laws

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  Introduction, Energy Sources, Independent Sources, Dependent Source (Controlled Source), Kirchoff’s Current Law (KCL), Kirchoff’s Voltage Law (KVL), Voltage Division Equations between Two Resistors in Series, Current Division Equations between Parallel Resistance, Source Transformation (Conversion), Transformation of Voltage Source to Current Source, Transformation of Current Source to Voltage Source, Mesh Analysis, Node Analysis, Steps to Solve Circuit using Node Analysis, Super Node Concept, Additional Examples.
   
  1. Network Theorems

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  Introduction, Thevenin’s Theorem, Statement, Limitations of Thevenin’s Theorem, Steps for Solving Problem using Thevenin’s Theorem, Norton’s Theorem, Similarity of Norton’s Theorem with Thevenin’s Theorem, Statement, Steps for Solving Problem using Norton’s Theorem, Superposition Theorem, Statement, Limitations of Superposition Theorem, Steps for Solving Problem using Superposition Theorem, Reciprocity Theorem, Statement, Limitation of Reciprocity Theorem, Steps for Solving Problem using Reciprocity Theorem, Maximum Power Transfer Theorem, Statement, For D.C. Network, For A.C. Network, Limitations of Maximum Power Transfer Theorem, Steps for Solving Problem using Maximum Power Transfer Theorem, Compensation Theorem, Statement, Explanation, Limitations of Compensation Theorem, Tellegen’s Theorem, Statement, Steps for Solving Problem using Tellegen’s Theorem, Miller’s Theorem, Statement, Additional Examples, Review Questions.
   
  2. Analysis of Coupled Circuits

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  Introduction, Self Inductance, Mutual Inductance, Coupling Coefficient, Dot Notation and Sign of Mutual Inductance, Inductance of Coupled Coils in Series [Inductive Coupling in Series], Inductance of Coupled Coils in Parallel [Inductive Coupling in Parallel], Parallel Additive Coupled, Parallel Differentially Coupled, Magnetically Coupled Circuits and their Equivalent Circuits, Transformer, Ideal Transformer, Impedance Transformation, Conductively Coupled Equivalent Circuits, Additional Examples, Review Questions.
   
  3. Transient Analysis

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  Introduction, Transient Response (Rt), Steady State Response (Rss), Transient Response of Series RL Circuit with DC Input, Transient Response of Series RC Circuit with DC Input, Transient Response of Series R–L–C Circuit with DC Input, Transient Response of Series RL Circuit with Sinusoidal Input, Transient Response in Series RC Circuit with Sinusoidal Input, Additional Examples, Review Questions.
   
  4. Laplace Transformation and its Application

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  Introduction, Laplace Transform, Inverse Laplace Transform, Properties of Laplace Transform, Linearity, Differentiation, Integration, Shifting Theorem, Initial Value Theorem, Final Value Theorem, Laplace Transform of Some Common Time Functions, Laplace Transform of Unit Step Function, Laplace Transform of Unit Impulse Function, Laplace Transform of Exponential Function, Laplace Transform of Unit Ramp Function, Laplace Transform of Parabolic Function, Laplace Transform of Sine Function, Laplace Transform of Cosine Function, Laplace Transform of Damped Sinusoidal Functions, Laplace Transform of Hyperbolic Sinusoidal Functions, Laplace Transform of tn Function, Laplace Transform of Damped Hyperbolic Sinusoidal Functions, Inverse Laplace Transform using Partial Fraction Expansion, When All Roots of F(s) are Real and Simple (No Repetitions), When Two Roots of N(s) are of Complex Conjugate Pair, When Some Roots of N(s) are of Multiple Order, Application of Laplace Transformation Technique in Electric Circuit Analysis, Independent Sources, Resistance Parameter (R), Inductive Element (L), Capacitive Element (C), Step Response of R-L Circuit, Step Response of R-C Circuit, Step Response of RLC Series Circuit, Impulse Response of Series RL Circuit, Impulse Response of Series RC Circuit, Pulse Response of Series RL Circuit, Pulse Response of Series RC Circuit, Additional Examples, Review Questions.
   
  5. Fourier Analysis

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  Introduction, Periodic Functions, Dirichlet Conditions, Some Useful Integrals, Determination of Fourier Coefficients, Determination of a0, Determination of an, Determination of bn, Alternate forms of Trigonometric Fourier Series, Exponential form of Fourier Series, Symmetry in Fourier Series, Even or Mirror Symmetry, Odd or Rotation Symmetry, Half Wave Symmetry, Quarter Wave Symmetry, Frequency Spectrum, Power in a Circuit, Additional Examples, Review Questions.
   
  6. Two Port Network Analysis

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  Introduction, Z-Parameters (Open Circuit Impedance Parameters), Equivalent Network of a Two Port Non-Reciprocal Network using Z-Parameter, Equivalent T-Network Representation in Parameter Forms, Y-Parameters (Short Circuit Admittance Parameters), Equivalent Network using Y-Parameters, Equivalent ? Network Representation in Y-Parameter Forms, Hybrid or h-Parameters, Equivalent Network using h-Parameters, Inverse Hybrid (g) Parameters, Transmission (T) or ABCD Parameters, Inverse Transmission Parameters (T-Parameters), Condition of Symmetry in Two Port Parameters, Symmetry in Z-Parameter Representation, Symmetry in Y-Parameter Representation, Symmetry in h-Parameter Representation, Symmetry in ABCD Parameter Representation, Condition of Reciprocity in Two Port Parameters, Reciprocity in Z-Parameter Representation, Reciprocity in Y–Parameter Representation, Reciprocity in h-Parameter Representation, Reciprocity in ABCD Parameter Representation, Interrelationship Between Parameters of Two Port Network, Z-Parameters in Terms of Other Parameters, Y-Parameters in Terms of Other Parameters, h-Parameters in Terms of Other Parameters, ABCD Parameters in Terms of Other Parameters, Interconnection of Two Port Network, Series Connection, Cascade Connection, Parallel Connection, Series-Parallel Connection, Input and Output Impedances, Input Impedances, Output Impedances, Open Circuit and Short Circuit Impedances, Open and Short Circuit Impedances in Terms of ABCD Parameters, Interrelationship between Open and Short Circuit Impedance in Terms of ABCD Parameters, The Ladder Network, Image Impedances and Image Transfer Function, Relationship between Image Parameter and Short Circuit and Open Circuit Impedances, Attenuation and Phase Shift in Symmetrical T and ?-Networks, Symmetrical T-Network, Symmetrical ?-Network, Transformer Equivalent Circuit, Lattice Network, Applications to L-C Network, Additional Examples, Review Questions.
   
  7. Network Functions

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  Introduction, Driving Point Functions, Driving Point Impedance Function, Driving Point Admittance Function, Transfer Functions, Transfer Impedance Function, Transfer Admittance Function, Voltage Transfer Ratio, Current Transfer Ratio, Procedure for Finding Network Functions for two Port Network, Poles and Zeros Concept in Network Function, Properties of Driving Point Impedance and Admittance Functions [Necessary Conditions for Driving Point Functions], Necessary Condition for Transfer Function, Magnitude and Phase Angle of the Coefficients in the Network Function [Time Domain Response], Steps for Solving the Question, Routh-Hurwitz Criteria of Stability of Network Function, Special Cases when Routh’s Array (Tabulation) Terminates before Completion, Limitation of Routh Hurwitz Criterion, Additional Examples, Review Questions.
   
  8. Network Synthesis

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  Introduction, Hurwitz Polynomial, Properties of Hurwitz Polynomial, Procedure for Obtaining the Continued Fraction Expansion, Procedure of Testing for Hurwitz Polynomial, Inspection Test, Confirmatory Test, Positive Real Function (PRF), Properties of Positive Real Function, Procedure for Testing of PR Function, Analytical Test, Specification of Reactance Functions, Realization of LC (Reactive) Networks, Separation Property for Reactive Network, Reactance (LC) Function Forms, Foster-I form of LC Network, Foster-II form of LC Network, Cauer-I form of LC Network, Cauer-II form of LC Network, Realization of RL and RC Network, Realization of RL Circuit, Realization of RC Circuit, Properties of RL and RC Circuit, Synthesis of RC Network by Foster-I Form, Synthesis of RC Network by Foster-II Form, Cauer-I form of RC Network, Cauer-II form of RC Network Function, Synthesis of RL Network by Foster-I Form, Synthesis of RL Network by Foster-II Form, Synthesis of RL Network by Cauer-I Form, Synthesis of RL Network by Cauer-II Form, Additional Examples, Review Questions.
   
  P. Papers