Lecture

Single-Phase Sinusoidal Circuits: Powers and Additivity

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

EE-106: Electrical engineering science & technology

Ce cours introduit les lois fondamentales de l'électricité et les méthodes permettant d'analyser des circuits électriques linéaires, composés de résistances, condensateurs et inductances. On commencera par le régime continu pour passer ensuite au régime al ...

Description

This lecture covers the calculation of active, reactive, and apparent powers in single-phase sinusoidal circuits, focusing on the additivity property that allows the separation of active and reactive powers. The instructor explains how to calculate the total powers and the powers of individual components, emphasizing the importance of understanding impedance and inductance in electrical systems.

Instructors (3)

Roberto Zoia

Philippe Allenbach

Christian André Clément Lafforgue

Teaching & PhD Courses Electrical engineering science & technology EE-106 This course introduces the fundamental laws of electricity and the methods for analyzing linear electrical circuits, consisting of resistors, capacitors and inductors. We will start with the Direct Current circuits and then switch to single-phase and three-phase Alternating Current circuits.

Official source

Ontological neighbourhood

Physics

Electromagnetism: Electrical networks

Related concepts (30)

Electrical impedance

In electrical engineering, impedance is the opposition to alternating current presented by the combined effect of resistance and reactance in a circuit. Quantitatively, the impedance of a two-terminal circuit element is the ratio of the complex representation of the sinusoidal voltage between its terminals, to the complex representation of the current flowing through it. In general, it depends upon the frequency of the sinusoidal voltage.

AC power

In an electric circuit, instantaneous power is the time rate of flow of energy past a given point of the circuit. In alternating current circuits, energy storage elements such as inductors and capacitors may result in periodic reversals of the direction of energy flow. Its SI unit is the watt. The portion of instantaneous power that, averaged over a complete cycle of the AC waveform, results in net transfer of energy in one direction is known as instantaneous active power, and its time average is known as active power or real power.

Inductor

An inductor, also called a coil, choke, or reactor, is a passive two-terminal electrical component that stores energy in a magnetic field when electric current flows through it. An inductor typically consists of an insulated wire wound into a coil. When the current flowing through the coil changes, the time-varying magnetic field induces an electromotive force (emf) (voltage) in the conductor, described by Faraday's law of induction. According to Lenz's law, the induced voltage has a polarity (direction) which opposes the change in current that created it.

Linear circuit

A linear circuit is an electronic circuit which obeys the superposition principle. This means that the output of the circuit F(x) when a linear combination of signals ax1(t) + bx2(t) is applied to it is equal to the linear combination of the outputs due to the signals x1(t) and x2(t) applied separately: It is called a linear circuit because the output voltage and current of such a circuit are linear functions of its input voltage and current. This kind of linearity is not the same as that of straight-line graphs.

Electric power

Electric power is the rate at which electrical energy is transferred by an electric circuit. The SI unit of power is the watt, one joule per second. Standard prefixes apply to watts as with other SI units: thousands, millions and billions of watts are called kilowatts, megawatts and gigawatts respectively. A common misconception is that electric power is bought and sold, but actually electrical energy is bought and sold.

Related lectures (64)

Apparent and True Power: Transformer

Explains apparent and true power in circuits, power factor, transformers without load resistors, and transformers with load resistors.

AC Circuits: Complex Impedance Analysis

Covers the analysis of AC circuits, focusing on complex impedance and phase differences between current and voltage.

AC Circuits Analysis: Maxwell's Equations to Impedance

Explores AC circuits analysis, from Maxwell's equations to impedance and experimental phase shifts verification.

Sinusoidal Circuits: Examples and Impedances MOOC: Electrical engineering I

Covers examples in electrical engineering, impedance properties, and circuit components like resistance and reactance.

Electricity Fundamentals: Inductance and Complex Impedance