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Phasor

Index Phasor

In physics and engineering, a phasor (a portmanteau of phase vector), is a complex number representing a sinusoidal function whose amplitude (A), angular frequency (ω), and initial phase (θ) are time-invariant. [1]

52 relations: AC power, Algebraic equation, Alternating current, Amplitude, Amplitude modulation, Analytic signal, Angle notation, Angular frequency, Charles Proteus Steinmetz, Complex conjugate, Complex number, Complex plane, Degree (angle), Derivative, Differential equation, Diffraction, Direct current, Eigenfunction, Electrical impedance, Engineering, Euclidean vector, Euler's formula, Frequency modulation, General Electric, Hertz, Imaginary unit, In-phase and quadrature components, Integral, Kirchhoff's circuit laws, Laplace transform, Law of cosines, Light, Linear differential equation, Network analysis (electrical circuits), Phase (waves), Phase factor, Phasor measurement unit, Physics, Portmanteau, RC circuit, RLC circuit, Root mean square, Sine wave, Steady state (electronics), Superposition theorem, Three-phase, Three-phase electric power, Time-invariant system, Transient response, Triangle, ..., Vector notation, Wave interference. Expand index (2 more) »

AC power

Power in an electric circuit is the rate of flow of energy past a given point of the circuit.

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Algebraic equation

In mathematics, an algebraic equation or polynomial equation is an equation of the form where P and Q are polynomials with coefficients in some field, often the field of the rational numbers.

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Alternating current

Alternating current (AC) is an electric current which periodically reverses direction, in contrast to direct current (DC) which flows only in one direction.

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Amplitude

The amplitude of a periodic variable is a measure of its change over a single period (such as time or spatial period).

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Amplitude modulation

Amplitude modulation (AM) is a modulation technique used in electronic communication, most commonly for transmitting information via a radio carrier wave.

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Analytic signal

In mathematics and signal processing, an analytic signal is a complex-valued function that has no negative frequency components.

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Angle notation

Angle notation or phasor notation is a notation used in electronics.

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Angular frequency

In physics, angular frequency ω (also referred to by the terms angular speed, radial frequency, circular frequency, orbital frequency, radian frequency, and pulsatance) is a scalar measure of rotation rate.

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Charles Proteus Steinmetz

Charles Proteus Steinmetz (born Karl August Rudolph Steinmetz, April 9, 1865 – October 26, 1923) was a German-born American mathematician and electrical engineer and professor at Union College.

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Complex conjugate

In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.

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Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

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Complex plane

In mathematics, the complex plane or z-plane is a geometric representation of the complex numbers established by the real axis and the perpendicular imaginary axis.

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Degree (angle)

A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle, defined so that a full rotation is 360 degrees.

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Derivative

The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).

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Differential equation

A differential equation is a mathematical equation that relates some function with its derivatives.

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Diffraction

--> Diffraction refers to various phenomena that occur when a wave encounters an obstacle or a slit.

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Direct current

Direct current (DC) is the unidirectional flow of electric charge.

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Eigenfunction

In mathematics, an eigenfunction of a linear operator D defined on some function space is any non-zero function f in that space that, when acted upon by D, is only multiplied by some scaling factor called an eigenvalue.

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Electrical impedance

Electrical impedance is the measure of the opposition that a circuit presents to a current when a voltage is applied.

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Engineering

Engineering is the creative application of science, mathematical methods, and empirical evidence to the innovation, design, construction, operation and maintenance of structures, machines, materials, devices, systems, processes, and organizations.

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Euclidean vector

In mathematics, physics, and engineering, a Euclidean vector (sometimes called a geometric or spatial vector, or—as here—simply a vector) is a geometric object that has magnitude (or length) and direction.

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Euler's formula

Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function.

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Frequency modulation

In telecommunications and signal processing, frequency modulation (FM) is the encoding of information in a carrier wave by varying the instantaneous frequency of the wave.

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General Electric

General Electric Company (GE) is an American multinational conglomerate incorporated in New York and headquartered in Boston, Massachusetts.

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Hertz

The hertz (symbol: Hz) is the derived unit of frequency in the International System of Units (SI) and is defined as one cycle per second.

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Imaginary unit

The imaginary unit or unit imaginary number is a solution to the quadratic equation.

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In-phase and quadrature components

In electrical engineering, a sinusoid with angle modulation can be decomposed into, or synthesized from, two amplitude-modulated sinusoids that are offset in phase by one-quarter cycle (/2 radians).

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Integral

In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

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Kirchhoff's circuit laws

Kirchhoff's circuit laws are two equalities that deal with the current and potential difference (commonly known as voltage) in the lumped element model of electrical circuits.

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Laplace transform

In mathematics, the Laplace transform is an integral transform named after its discoverer Pierre-Simon Laplace.

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Law of cosines

In trigonometry, the law of cosines (also known as the cosine formula or cosine rule) relates the lengths of the sides of a triangle to the cosine of one of its angles.

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Light

Light is electromagnetic radiation within a certain portion of the electromagnetic spectrum.

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Linear differential equation

In mathematics, 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,..., and are arbitrary differentiable functions that do not need to be linear, and are the successive derivatives of an unknown function of the variable.

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Network analysis (electrical circuits)

A network, in the context of electronics, is a collection of interconnected components.

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Phase (waves)

Phase is the position of a point in time (an instant) on a waveform cycle.

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Phase factor

For any complex number written in polar form (such as reiθ), the phase factor is the complex exponential factor (eiθ).

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Phasor measurement unit

A phasor measurement unit (PMU) is a device which measures the electrical waves on an electricity grid using a common time source for synchronization.

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Physics

Physics (from knowledge of nature, from φύσις phýsis "nature") is the natural science that studies matterAt the start of The Feynman Lectures on Physics, Richard Feynman offers the atomic hypothesis as the single most prolific scientific concept: "If, in some cataclysm, all scientific knowledge were to be destroyed one sentence what statement would contain the most information in the fewest words? I believe it is that all things are made up of atoms – little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one another..." and its motion and behavior through space and time and that studies the related entities of energy and force."Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." Physics is one of the most fundamental scientific disciplines, and its main goal is to understand how the universe behaves."Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physics. (...) You will come to see physics as a towering achievement of the human intellect in its quest to understand our world and ourselves."Physics is an experimental science. Physicists observe the phenomena of nature and try to find patterns that relate these phenomena.""Physics is the study of your world and the world and universe around you." Physics is one of the oldest academic disciplines and, through its inclusion of astronomy, perhaps the oldest. Over the last two millennia, physics, chemistry, biology, and certain branches of mathematics were a part of natural philosophy, but during the scientific revolution in the 17th century, these natural sciences emerged as unique research endeavors in their own right. Physics intersects with many interdisciplinary areas of research, such as biophysics and quantum chemistry, and the boundaries of physics are not rigidly defined. New ideas in physics often explain the fundamental mechanisms studied by other sciences and suggest new avenues of research in academic disciplines such as mathematics and philosophy. Advances in physics often enable advances in new technologies. For example, advances in the understanding of electromagnetism and nuclear physics led directly to the development of new products that have dramatically transformed modern-day society, such as television, computers, domestic appliances, and nuclear weapons; advances in thermodynamics led to the development of industrialization; and advances in mechanics inspired the development of calculus.

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Portmanteau

A portmanteau or portmanteau word is a linguistic blend of words,, p. 644 in which parts of multiple words or their phones (sounds) are combined into a new word, as in smog, coined by blending smoke and fog, or motel, from motor and hotel.

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RC circuit

A resistor–capacitor circuit (RC circuit), or RC filter or RC network, is an electric circuit composed of resistors and capacitors driven by a voltage or current source.

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RLC circuit

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.

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Root mean square

In statistics and its applications, the root mean square (abbreviated RMS or rms) is defined as the square root of the mean square (the arithmetic mean of the squares of a set of numbers).

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Sine wave

A sine wave or sinusoid is a mathematical curve that describes a smooth periodic oscillation.

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Steady state (electronics)

In electronics, steady state is an equilibrium condition of a circuit or network that occurs as the effects of transients are no longer important.

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Superposition theorem

The superposition theorem for electrical circuits states that for a linear system the response (voltage or current) in any branch of a bilateral linear circuit having more than one independent source equals the algebraic sum of the responses caused by each independent source acting alone, where all the other independent sources are replaced by their internal impedances.

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Three-phase

In electrical engineering, three-phase electric power systems have at least three conductors carrying alternating current voltages that are offset in time by one-third of the period.

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Three-phase electric power

Three-phase electric power is a common method of alternating current electric power generation, transmission, and distribution.

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Time-invariant system

A time-invariant (TIV) system has a time-dependent system function that is not a direct function of time.

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Transient response

In electrical engineering and mechanical engineering, a transient response is the response of a system to a change from an equilibrium or a steady state.

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Triangle

A triangle is a polygon with three edges and three vertices.

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Vector notation

Vector notation is a commonly used mathematical notation for working with mathematical vectors, which may be geometric vectors or members of vector spaces.

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Wave interference

In physics, interference is a phenomenon in which two waves superpose to form a resultant wave of greater, lower, or the same amplitude.

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Complex amplitude, Complex amplitudes, Complex-valued amplitude, Phase vector, Phasor (electronics), Phasor (physics), Phasor (sine waves), Phasor Diagram, Phasor analysis, Phasor diagram, Phasor diagrams, Phasors.

References

[1] https://en.wikipedia.org/wiki/Phasor

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