Lecture

Capacitor Charging and Network Analysis

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

In course

PHYS-201(d): General physics : electromagnetism

The topics covered by the course are concepts of electromagnetism, properties of waves, and fluid mechanics. ...

Description

This lecture covers the process of charging a capacitor in a circuit with a battery and a lamp, analyzing the time constant, setting up differential equations for charge and voltage, solving first-order differential equations, and understanding capacitors in parallel and series. The instructor explains the behavior of capacitors in different circuit configurations, the concept of time constant, and the exponential charging and discharging of capacitors. The lecture also delves into the analysis of current flow through elements, the relationship between voltage and current in resistors and lamps, and the behavior of nonlinear devices like Zener diodes and varistors.

Instructor

Dirk Grundler

Official source

Ontological neighbourhood

Physics

Electromagnetism: Electrical networks

Related concepts (32)

Capacitor types

Capacitors are manufactured in many styles, forms, dimensions, and from a large variety of materials. They all contain at least two electrical conductors, called plates, separated by an insulating layer (dielectric). Capacitors are widely used as parts of electrical circuits in many common electrical devices. Capacitors, together with resistors and inductors, belong to the group of passive components in electronic equipment.

Voltage

Voltage, also known as electric pressure, electric tension, or (electric) potential difference, is the difference in electric potential between two points. In a static electric field, it corresponds to the work needed per unit of charge to move a test charge between the two points. In the International System of Units (SI), the derived unit for voltage is named volt. The voltage between points can be caused by the build-up of electric charge (e.g., a capacitor), and from an electromotive force (e.g.

Ordinary differential equation

In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with other DE, its unknown(s) consists of one (or more) function(s) and involves the derivatives of those functions. The term "ordinary" is used in contrast with partial differential equations which may be with respect to one independent variable. A linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives, that is an equation of the form where a_0(x), .

Film capacitor

Film capacitors, plastic film capacitors, film dielectric capacitors, or polymer film capacitors, generically called film caps as well as power film capacitors, are electrical capacitors with an insulating plastic film as the dielectric, sometimes combined with paper as carrier of the electrodes. The dielectric films, depending on the desired dielectric strength, are drawn in a special process to an extremely thin thickness, and are then provided with electrodes.

Electrolytic capacitor

An electrolytic capacitor is a polarized capacitor whose anode or positive plate is made of a metal that forms an insulating oxide layer through anodization. This oxide layer acts as the dielectric of the capacitor. A solid, liquid, or gel electrolyte covers the surface of this oxide layer, serving as the cathode or negative plate of the capacitor. Because of their very thin dielectric oxide layer and enlarged anode surface, electrolytic capacitors have a much higher capacitance-voltage (CV) product per unit volume than ceramic capacitors or film capacitors, and so can have large capacitance values.

Related lectures (64)

Charging Capacitors: Time-Dependent Current and Circuits Analysis

Delves into charging capacitors, analyzing circuits with time-dependent current and exploring parallel and series configurations.

Analysis of Capacitors in DC Circuits

Explores capacitor charging processes, Kirchhoff's Voltage Law in circuits, differential equations, time-dependent characteristics, and analysis of capacitors in parallel and series arrangements.

Kirchhoff's Laws and DC Circuits

Explores Kirchhoff's laws in DC circuits, resistor analysis, and capacitor behavior.

Electric Circuits: Analysis and Modeling

Covers the analysis and modeling of electric circuits, focusing on resistors, capacitors, inductors, and circuit simplification techniques.

Understanding Microcontrollers: Electricity Basics