# Electric Circuit Analysis

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Basic 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.Basic 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 ...

 Title : Electric Circuit Analysis Author : A.V.Bakshi U.A.Bakshi Publisher : Technical Publications - 2008-01-01