Courses » Basic Electrical Circuits

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. These will be first carried out for resistive circuits which obey algebraic equations and then extended to circuits with energy storage elements(C, L) which obey differential equations. Along the way, we'll also discuss the rudiments of negative feedback circuit using the opamp. After taking this course, one should be able to analyze any linear circuit.


Nagendra Krishnapura is an associate professor in the VLSI group of the department of Electrical Engineering of the Indian Institute of Technology, Madras. He works in the area of analog and mixed-signal integrated circuits and signal processing.

He graduated with a Ph.D. from Columbia University, New York in Oct. 2000. He obtained his B. Tech. degree in electronics and communications engineering from the Indian Institute of Technology, Madras, in 1996. Between 2000 and 2005, he worked as a senior design engineer at Celight, Inc. and Multilink(later Vitesse Semiconductor) where he designed integrated circuits for high speed communications. From 2003 to 2005, he was an Adjunct Assistant Professor and taught courses on Analog Circuit Design at Columbia University.


XII std. level algebra and calculus, electrostatics


We will have a total of 12 weeks for this course. Certification will be based on the contents of the first 8 weeks. The last 4 weeks will cover additional material. There will be about 3 hours of lecture per week. This course is aimed at 1st and 2nd year undergraduate college students. This is intended to be the first course on electrical circuits in an undergraduate curriculum.


  • The exam is optional. 
  • The exam will be based on the first 8 weeks of the course. 
  • Exams will be on 6 September 2015 and 13 September, 2015. 
  • Time: 1pm-4pm
  • The list of cities where the exam will be conducted will be available in the registration form. 

Registration url: Announcements will be made when the registration form is open for registrations, most likely in July 2015. The online registration form has to be filled and the certification exam fee of Rs 1000, needs to be paid.


Certificate will be given to those who register and write the exam. Certificate will have your name, photograph and the score in the final exam. It will also have the logos of NPTEL and IIT Madras. It will also be e-verifiable on the nptel.ac.in/noc website.


Week Unit Unit titles
1 1 Preliminaries; Current and voltage; Electrical elements and circuits; Kirchhoff's laws
1 2 Basic elements: Voltage and current sources, R, L, C, M; Linearity of elements
2 3 Elements in series and parallel
2 4 Controlled sources
3 5 Power and energy in electrical elements
3 6 Circuit Analysis Methods
4 7 Nodal analysis
4 8 Extending nodal analysis with different sources
5 9 Mesh analysis
5 10 Circuit theorems
6 11 More circuit theorems
6 12 Two port parameters
7 13 Two port parameters continued
7 14 Reciprocity in resistive networks
8 15 Opamp and negative feedback
8 16 Opamps cont'd: Example circuits and additional topics
9 17 First Order Circuits
9 18 First Order Circuits cont'd
10 19 First order circuits with time-varying inputs
10 20 Sinusoidal steady state response and total response
11 21 Second order system-Natural response
11 22 Second order system-Cont'd
12 23 Direct calculation of steady state response from equivalent components
12 24 Magnitude and Phase plots; Maximum power transfer theorem