Electrical Circuit Analysis

Electrical CircuitsCircuit concept, R-L-C parameters, Voltage and current sources, Independent and dependent sources, Source transformation, Voltage-Current relationship for passive elements, Kirchhoff's laws, Network reduction techniques-Series, Parallel, series-parallel, Star-to-delta or delta-to-star transformation.Magnetic CircuitsMagnetic circuits, Faraday's laws of electromagnetic induction, Concept of self and mutual inductance, Dot convention, Coefficient of coupling, Composite magnetic circuit, Analysis of series and parallel magnetic circuits.Single Phase A.C. CircuitsR.M.S. and average values and form factor for different periodic waveforms, Steady state analysis of R, L and C (in series, parallel, and series-parallel combinations) with sinusoidal excitation, Concept of reactance, Impedance, Susceptance and admittance, Phase and phase difference, Concept of power factor, Real and reactive powers, J-notation, Complex and polar forms of representation, Complex power, Locus diagrams, Series R-L, R-C, R-L-C and parallel combination with variation of various parameters, Resonance, Series, Parallel circuits, Concept of bandwidth and Q factor.Three Phase CircuitsThree phase circuits : Phase sequence, Star and delta connection, Relation between line and phase voltages and currents in balanced systems, Analysis of balanced and unbalanced 3 phase circuits, Measurement of active and reactive power.Network TopologyDefinitions, Graph, Tree, Basic cutset and basic tieset matrices for planar networks, Loop and nodal methods of analysis of networks with independent voltage and current sources, Duality and dual networks.Network TheoremsTellegen's, Superposition, Reciprocity, Thevenin's, Norton's, Maximum power transfer, Millman's and compensation theorems for d.c. and a.c. excitations.Transient AnalysisTransient response of R-L, R-C, R-L-C circuits (Series combinations only) for d.c. and sinusoidal excitations, Initial conditions, Solution using differential equation approach and Laplace transform methods of solutions.Network ParametersTwo port network parameters, Z, Y, ABCD and hybrid parameters and their relations, Concept of transformed network, 2-port network parameters using transformed variables.