## Electric Circuit AnalysisBasic Circuit ConceptsLumped circuits-circuit elements, ideal sources (independent and dependent), linear passive parameters R, L and C; V-I relationship of circuit elements; sinusoidal voltage and current; RMS value; form factor; Kirchoff's Laws; analysis of series and parallel circuits - network reduction; voltage and current division, source transformation, star/delta transformation.Transient Analysis of First and Second Order CircuitsSource free response of RL and RC circuits; forced (step) response of RL and RC circuits; source free response of RLC series circuit; forced (step) response of RLC series circuit; forced response of RL, RC and RLC series circuit to sinusoidal excitation; time constant and natural frequency of oscillation of circuits. Laplace Transform application to the solution of RL, RC and RLC circuits - initial and finial value theorems and applications, concept of complex frequency, driving point and transfer impedance, poles and zeros of network function.Sinusoidal Steady State AnalysisConcept of phasor and complex impedance/admittance; Analysis of simple series and parallel circuits - active power, reactive power, apparent power (volt ampere), power factor and energy associated with these circuits; concept of complex power phasor diagram, impedance triangle and power triangle associated with these circuits. Resonance in series and parallel circuits - Q factor, half-power frequencies and bandwidth of resonant circuits.Multi Dimensional Circuit Analysis and Network TheoremsNode-voltage analysis of multi mode circuit with current sources, rules for constructing nodal admittance matrix [Y] for solving matrix equation [Y]V=I, mesh-current analysis of multi node circuits with voltage sources, rules for constructing mesh impedance matrix [Z] for solving matrix equation [Z]I=V. Superposition theorem, Thevenin's theorem, Norton's theorem, Reciprocity theorem, Compensation theorem, Tellegen's theorem, Millman's theorem, maximum power transfer theorem for variable resistance load, variable impedance load and variable resistance and fixed reactance load.Coupled Circuits and Three Phase CircuitsCoupled circuts- mutual inductance, coefficient of coupling, dot convention; analysis of simple coupled circuits. Three phase circuits - three phase balanced / unbalanced voltage sources, symmetrical components, analysis of three phase 3-wire and 4-wire circuits with star and delta connected loads (balanced and unbalanced), phasor diagram of voltages and currents, power and power factor measurements in three phase circuits. |

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### Contents

iapter3 Sinusoidal Steady State Analysis 31 to 382 | 3-1 |

Chapter4 Multidimensional Circuit Analysis 4 1 to 4 44 | 4-1 |

Chapter2 A C Fundamentals 2 1 to 2 42 | 4-2 |

Chapter5 Network Theorems | 5-1 |

Chapter3 Sinusoidal Steady State Analysis 31 to 3 82 | 5-82 |

15Kirchhoffs Laws 1 | 6-1 |

Chapter4 Multidimensional Circuit Analysis 41 to 4 44 | 6-4 |

Examples with Solutions 1 | 6-33 |

Chapter7 Laplace Transform and Applications 71 to 782 | 7-1 |

Examples with Solutions 8 23 | 8-23 |

Solved Examples from AU Papers 8 40 | 8-40 |

Chapter8 Coupled Circuits 81to842 | 9-8 |

S I | 9-15 |

Examples with Solutions 9 37 | 9-37 |

Chapterwise University Questions with Answers P1toP54 | 9-54 |

Review Questions 9 58 | 9-58 |

### Common terms and phrases

admittance alternating current alternating quantity analysis angle applied voltage Applying KVL branch currents Calculate capacitance change instantaneously circuit shown coil Consider constant current flowing current source current through inductor delta connected differential equation e-pt Example find current frequency Hence induced e.m.f. inductance initial conditions initial current initial voltage instant Key Point Kirchhoff's voltage law lagging Laplace transform linear load loop currents Millman's theorem negative network shown node voltages Norton's Norton's theorem obtained open circuit parallel circuit phasor diagram positive power consumed power factor purely resistive Q resistance r.m.s. value reactance resistor resonance series circuit series R-L series R-L-C circuit short circuit shown in Fig sinusoidal Solution star connected steady Step Substituting value supernode Superposition theorem terminals A-B Thevenin's equivalent Thevenin's theorem three phase triangle voltage across capacitor voltage source volts wattmeter waveform zero