**ABOUT THE COURSE**

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.

PRE-REQUISITES

XII std. level algebra
and calculus, electrostatics

COURSE SYLLABUS

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.

CERTIFICATION EXAM

- 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

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.

SYLLABUS OUTLINE

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 |