Basic Electrical Circuits
Electrical circuits are everywhere, from tiny ones in integrated circuits in mobile phones and music players, to giant ones that carry power to our homes. This course deals with analysis techniques that can be applied to all such circuits. We'll first discuss electrical quantities-voltage and current-relevant to such circuits and learn about basic elements(R, L, C, controlled sources) and their properties. We'll then move on to general analysis techniques that can be applied to arbitrary circuits. We'll also discuss circuit theorems and rudiments of negative feedback circuit using the opamp. After taking this course, one should be able to analyze memoryless linear circuits.
INTENDED AUDIENCE : Interested learners
PREREQUISITES : XII std. level algebra and calculus, electrostatics
COURSE LAYOUT Week 1 : Preliminaries; Current and voltage; Electrical elements and circuits; Kirchhoff's laws,Basic elements: Voltage and current sources, R, L, C, M; Linearity of elementsWeek 2 : Elements in series and parallel,Controlled sourcesWeek 3 : Power and energy in electrical elements, Circuit Analysis MethodsWeek 4 : Nodal analysis, Extending nodal analysis with different sourcesWeek 5 : Mesh analysis, Circuit theoremsWeek 6 : More circuit theorems, Two port parametersWeek 7 : Two port parameters continued, Reciprocity in resistive networksWeek 8 : Opamp and negative feedback, Opamps cont'd: Example circuits and additional topicsWeek 9 : First Order Circuits, First Order Circuits cont'dWeek 10 : First order circuits with time-varying inputs, Sinusoidal steady state response and total responseWeek 11 : Second order system-Natural response, Second order system-Cont'dWeek 12 : Direct calculation of steady state response from equivalent components, Magnitude and Phase plots; Maximum power transfer theorem