**Are you an EPFL student looking for a semester project?**

Work with us on data science and visualisation projects, and deploy your project as an app on top of GraphSearch.

Lecture# Resonant Circuits: Frequency Behavior and Equivalent Dipoles

Description

This lecture covers the frequency behavior of resonant circuits, including series and parallel LC circuits, ideal resonant circuits, and conditions for resonance. It also discusses equivalent dipoles and the effects of changing circuit parameters.

Official source

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

In course

Instructors (3)

In MOOCs (2)

Related concepts (49)

Related lectures (4)

MICRO-100: Electrotechnics I

Le cours aborde les bases des circuits électriques composés d'éléments linéaires, en régime continu. Une série de méthodes de transformations sera traitée.
Le régime alternatif est traité en fin de se

Electrical Engineering I

Découvrez les circuits électriques linéaires. Apprenez à les maîtriser et à les résoudre, dans un premier temps en régime continu puis en régime alternatif.

Electrical Engineering I

Découvrez les circuits électriques linéaires. Apprenez à les maîtriser et à les résoudre, dans un premier temps en régime continu puis en régime alternatif.

, ,

An RLC circuit is an electrical circuit consisting of a resistor (R), an inductor (L), and a capacitor (C), connected in series or in parallel. The name of the circuit is derived from the letters that are used to denote the constituent components of this circuit, where the sequence of the components may vary from RLC. The circuit forms a harmonic oscillator for current, and resonates in a manner similar to an LC circuit. Introducing the resistor increases the decay of these oscillations, which is also known as damping.

File:LC parallel simple.svg|LC circuit diagram File:Low cost DCF77 receiver.jpg|LC circuit ''(left)'' consisting of ferrite coil and capacitor used as a tuned circuit in the receiver for a [[radio clock]] File:Tuned circuit of shortwave radio transmitter from 1938.jpg|Output tuned circuit of [[shortwave]] [[radio transmitter]] An LC circuit, also called a resonant circuit, tank circuit, or tuned circuit, is an electric circuit consisting of an inductor, represented by the letter L, and a capacitor, represented by the letter C, connected together.

Electrical resonance occurs in an electric circuit at a particular resonant frequency when the impedances or admittances of circuit elements cancel each other. In some circuits, this happens when the impedance between the input and output of the circuit is almost zero and the transfer function is close to one. Resonant circuits exhibit ringing and can generate higher voltages or currents than are fed into them. They are widely used in wireless (radio) transmission for both transmission and reception.

A resistor–capacitor circuit (RC circuit), or RC filter or RC network, is an electric circuit composed of resistors and capacitors. It may be driven by a voltage or current source and these will produce different responses. A first order RC circuit is composed of one resistor and one capacitor and is the simplest type of RC circuit. RC circuits can be used to filter a signal by blocking certain frequencies and passing others.

Resonance describes the phenomenon of increased amplitude that occurs when the frequency of an applied periodic force (or a Fourier component of it) is equal or close to a natural frequency of the system on which it acts. When an oscillating force is applied at a resonant frequency of a dynamic system, the system will oscillate at a higher amplitude than when the same force is applied at other, non-resonant frequencies. Frequencies at which the response amplitude is a relative maximum are also known as resonant frequencies or resonance frequencies of the system.

The Frequency Response of RLC CircuitsMICRO-211: Analog circuits and systems

Explores the frequency response of RLC circuits, operational amplifiers, and linear dependent sources, highlighting the historical significance of operational amplifiers.

Linear Systems: Stability and SolutionsCOM-502: Dynamical system theory for engineers

Explores stability and solutions of linear systems in continuous and discrete time.

Frequency Response: Network FunctionsMICRO-211: Analog circuits and systems

Explores network functions, frequency-response descriptors, Bode diagrams, and RLC circuit frequency responses.

Frequency Response of RLC CircuitsMICRO-211: Analog circuits and systems

Explores the frequency response of RLC circuits, Bode diagrams, OPAMP history, and modern engineering applications.