Circuit RC

Résumé

Un circuit RC est un circuit électrique, composé d'une résistance et d'un condensateur montés en série ou en parallèle. Dans leur configuration série, les circuits RC permettent de réaliser des filtres électroniques passe-bas ou passe-haut. La constante de temps \tau d'un circuit RC est donnée par le produit de la valeur de ces deux éléments. Circuit série thumb|250px|Circuit RC série Fonctions de transfert Soit Z_C(\omega) l'impédance du condensateur : :Z_C(\omega) = \frac {1}{jC\omega} La tension aux bornes de la résistance ou du condensateur peut se calculer en considérant le montage comme un diviseur de tension non chargé : :V_C(\omega) = \frac {Z_C(\omega)}{Z_C(\omega) + R} V_{in}(\omega) = \frac {1}{1+jRC\omega} V_{in}(\omega) :V_R(\omega) = \frac {R}{Z_C(\omega) + R} V_{in}(\omega) = \frac {jRC\omega}{1+jRC\omega} V_{in}(\omega). On notera H_C la fonction de transfert obtenue

Source officielle

https://fr.wikipedia.org/wiki/Circuit_RC

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Cours associés (35)

Introduction to electromagnetism.

The course presents the detection of ionizing radiation in the keV and MeV energy ranges. Physical processes of radiation/matter interaction are introduced. All steps of detection are covered, as well as detectors, instrumentations and measurements methods commonly used in the nuclear field.

Ce cours présente une introduction à la théorie et aux méthodes d'analyse et de résolution des circuits électriques.

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1995

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Design of an Energy-Efficient Current-to-Frequency Converter for a Wearable Sensor Platform

Maher Kayal, François Krummenacher, Evgenia Voulgari

This paper presents the design of the ANTIGONE ASIC in AMS 0.35 mu m technology that interfaces with ion-sensitive field effect transistors (ISFETs) to detect biomarkers like pH, Na+ and K+ in human sweat. The ISFET sensors generate a low current dc signal, so a current-to-frequency converter (CFC) architecture is used to measure the produced current of the different sensors in time multiplexing. The ASIC has to properly bias the ISFETs and send the digitized output signal to a microcontroller through an SPI interface. In the front-end, a switched capacitor circuit is used to balance the charge that is stored in the current integrator. The 12-bit converter is designed for low power consumption. The weak inversion region of operation is exploited to achieve the highest gain for the same power budget. The different analog blocks are following a power activation sequence in order to limit the power consumption during the idle states of the system.

IEEE2019

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Sampling Moments and Reconstructing Signals of Finite Rate of Innovation: Shannon Meets Strang-Fix

Thierry Blu, Pier Luigi Dragotti, Martin Vetterli

Consider the problem of sampling signals which are not bandlimited, but still have a finite number of degrees of freedom per unit of time, such as, for example, nonuniform splines or piecewise polynomials, and call the number of degrees of freedom per unit of time the rate of innovation. Classical sampling theory does not enable a perfect reconstruction of such signals since they are not bandlimited. Recently, it was shown that, by using an adequate sampling kernel and a sampling rate greater or equal to the rate of innovation, it is possible to reconstruct such signals uniquely . These sampling schemes, however, use kernels with infinite support, and this leads to complex and potentially unstable reconstruction algorithms. In this paper, we show that many signals with a finite rate of innovation can be sampled and perfectly reconstructed using physically realizable kernels of compact support and a local reconstruction algorithm. The class of kernels that we can use is very rich and includes functions satisfying Strang–Fix conditions, exponential splines and functions with rational Fourier transform. This last class of kernels is quite general and includes, for instance, any linear electric circuit. We, thus, show with an example how to estimate a signal of finite rate of innovation at the output of an RC circuit. The case of noisy measurements is also analyzed, and we present a novel algorithm that reduces the effect of noise by oversampling.

Institute of Electrical and Electronics Engineers2007

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