Basic Electrical Circuits

Overview

Introduction to the course; Current and Voltage; Kirchhoff's Current and Voltage laws - Electrical circuit elements: Voltage and current sources; R, C, L, M - Elements in series and parallel; Superposition in linear circuits - Controlled sources; Energy and power in elements; Energy in a mutual inductor and constraint on mutual inductance - Nodal analysis of a network with conductances and current sources; Setting up the equations; Conductance matrix; Superposition - Nodal analysis with voltage sources and controlled sources; Modified nodal analysis - Modified nodal analysis with controlled sources; Loop analysis - Loop analysis with link currents as variables; Loop analysis for planar circuits(Mesh analysis) with mesh currents as variables - Substitution theorem; Thevenin's theorem - Thevenin's theorem; Norton's theorem; Pushing a voltage source through a node; Splitting a current source; Tellegen's theorem - Tellegen's theorem; Reciprocity theorem - Compensation theorem; Maximum power transfer theorem; Circuits with nonlinear components - Two port parameters - Negative feedback - Opamp for realizing negative feedback circuits; Determining opamp signs for negative feedback - Determining opamp signs for negative feedback; Circuits using opamps; Opamp amplifiers;RC circuit natural response; First order differential equation - Step response of RC circuits; Response of a first order circuit to exp(st) - Sinusoidal steady response of RC circuits; RL circuits - Step response of RC/RL circuits - Series RLC circuit; Second order differential equation; Natural response - Second order system natural response and step response; AC signal measures; Sinusoidal steady state analysis - Sinusoidal steady state analysis; Phasors - Sinusoidal steady state response of first order(RC) and second order(series RLC) circuits; Series and parallel RLC circuits; Complex power, Apparent power, Active and Reactive power, Power factor, Power factor correction; Conjugate matching for maximum power transfer - Coupled inductors; Ideal transformer - Three phase circuits; Star to Delta transformation; Real and reactive power with a balanced three phase load - Symmetrical component representation of unbalanced three phase components; Power measurement; Two wattmeter method for three phase power measurement;Extra class-if necessary