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Lecture

Analysis of Circuits with Dependent Sources

In course

MICRO-211: Analog circuits and systems

This course introduces the analysis and design of linear analog circuits based on operational amplifiers. A Laplace early approach is chosen to treat important concepts such as time and frequency responses, convolution, and filter design. The course is com ...

Description

This lecture covers the analysis of circuits with dependent sources, including active circuits. It explains how to adapt circuit reduction techniques and analysis methods like node and mesh analysis to include dependent sources. The lecture also delves into node-voltage analysis with dependent sources, illustrating how to formulate node equations and solve for node voltages. Additionally, it discusses Thévenin equivalent circuits with dependent sources and OPAMP fundamentals, detailing the symbol, notation, voltage, and current definitions. The non-idealities of OPAMPs are explored, such as finite open-loop gain, nonlinear transfer characteristics, and input offset voltage. Basic OPAMP circuits like the inverting amplifier, non-inverting amplifier, and voltage follower are also presented.

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Instructor

Christian Enz

Christian C. Enz (M84, S'12) received the M.S. and Ph.D. degrees in Electrical Engineering from the EPFL in 1984 and 1989 respectively. From 1984 to 1989 he was research assistant at the EPFL, working in the field of micro-power analog IC design. In 1989 he was one of the founders of Smart Silicon Systems S.A. (S3), where he developed several low-noise and low-power ICs, mainly for high energy physics applications. From 1992 to 1997, he was an Assistant Professor at EPFL, working in the field of low-power analog CMOS and BiCMOS IC design and device modeling. From 1997 to 1999, he was Principal Senior Engineer at Conexant (formerly Rockwell Semiconductor Systems), Newport Beach, CA, where he was responsible for the modeling and characterization of MOS transistors for the design of RF CMOS circuits. In 1999, he joined the Swiss Center for Electronics and Microtechnology (CSEM) where he launched and lead the RF and Analog IC Design group. In 2000, he was promoted Vice President, heading the Microelectronics Department, which became the Integrated and Wireless Systems Division in 2009. He joined the EPFL as full professor in 2013, where he is currently the director of the Institute of Microengineering (IMT) and head of the Integrated Circuits Laboratory (ICLAB).He is lecturing and supervising undergraduate and graduate students in the field of Analog and RF IC Design at EPFL. His technical interests and expertise are in the field of very low-power analog and RF IC design, semiconductor device modeling, and inexact and error tolerant circuits and systems.He has published more than 200 scientific papers and has contributed to numerous conference presentations and advanced engineering courses. Together with E. Vittoz and F. Krummenacher he is one of the developer of the EKV MOS transistor model and the author of the book "Charge-Based MOS Transistor Modeling - The EKV Model for Low-Power and RF IC Design" (Wiley, 2006). He has been member of several technical program committees, including the International Solid-State Circuits Conference (ISSCC) and European Solid-State Circuits Conference (ESSCIRC). He has served as a vice-chair for the 2000 International Symposium on Low Power Electronics and Design (ISLPED), exhibit chair for the 2000 International Symposium on Circuits and Systems (ISCAS) and chair of the technical program committee for the 2006 European Solid-State Circuits Conference (ESSCIRC). Since 2012 he has been elected as member of the IEEE Solid-State Circuits Society (SSCS) Administrative Commmittee (AdCom). He is also Chair of the IEEE SSCS Chapter of Switzerland.

Official source

Ontological neighbourhood

Physics

Electromagnetism: Electrical networks

Related concepts (32)

Operational amplifier

An operational amplifier (often op amp or opamp) is a DC-coupled high-gain electronic voltage amplifier with a differential input and, usually, a single-ended output. In this configuration, an op amp produces an output potential (relative to circuit ground) that is typically 100,000 times larger than the potential difference between its input terminals. The operational amplifier traces its origin and name to analog computers, where they were used to perform mathematical operations in linear, non-linear, and frequency-dependent circuits.

Amplifier

An amplifier, electronic amplifier or (informally) amp is an electronic device that can increase the magnitude of a signal (a time-varying voltage or current). It is a two-port electronic circuit that uses electric power from a power supply to increase the amplitude (magnitude of the voltage or current) of a signal applied to its input terminals, producing a proportionally greater amplitude signal at its output. The amount of amplification provided by an amplifier is measured by its gain: the ratio of output voltage, current, or power to input.

Current source

A current source is an electronic circuit that delivers or absorbs an electric current which is independent of the voltage across it. A current source is the dual of a voltage source. The term current sink is sometimes used for sources fed from a negative voltage supply. Figure 1 shows the schematic symbol for an ideal current source driving a resistive load. There are two types. An independent current source (or sink) delivers a constant current. A dependent current source delivers a current which is proportional to some other voltage or current in the circuit.

Network analysis (electrical circuits)

In electrical engineering and electronics, a network is a collection of interconnected components. Network analysis is the process of finding the voltages across, and the currents through, all network components. There are many techniques for calculating these values; however, for the most part, the techniques assume linear components. Except where stated, the methods described in this article are applicable only to linear network analysis.

Voltage source

A voltage source is a two-terminal device which can maintain a fixed voltage. An ideal voltage source can maintain the fixed voltage independent of the load resistance or the output current. However, a real-world voltage source cannot supply unlimited current. A voltage source is the dual of a current source. Real-world sources of electrical energy, such as batteries and generators, can be modeled for analysis purposes as a combination of an ideal voltage source and additional combinations of impedance elements.

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