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- Time_constant abstract "In physics and engineering, the time constant, usually denoted by the Greek letter (tau), is the parameter characterizing the response to a step input of a first-order, linear time-invariant (LTI) system. The time constant is the main characteristic unit of a first-order LTI (linear time-invariant) system....In the time domain, the usual choice to explore the time response is through the step response to a step input, or the impulse response to a Dirac delta function input. In the frequency domain (for example, looking at the Fourier transform of the step response, or using an input that is a simple sinusoidal function of time) the time constant also determines the bandwidth of a first-order time-invariant system, that is, the frequency at which the output signal power drops to half the value it has at low frequencies. The time constant is also used to characterize the frequency response of various signal processing systems – magnetic tapes, radio transmitters and receivers, record cutting and replay equipment, and digital filters – which can be modeled or approximated by first-order LTI systems. Other examples include time constant used in control systems for integral and derivative action controllers, which are often pneumatic, rather than electrical.Time constants are a feature of the lumped system analysis (lumped capacity analysis method) for thermal systems, used when objects cool or warm uniformly under the influence of convective cooling or warming.Physically, the constant represents the time it takes the system's step response to reach of its final (asymptotic) value. In radioactive decay the time constant is called the decay constant (λ), and it represents both the mean lifetime of a decaying system (such as an atom) before it decays, or the time it takes for all but 36.8% of the atoms to decay. For this reason, the time constant is longer than the half-life, which is the time for only 50% of the atoms to decay.".
- Time_constant wikiPageExternalLink 4.html.
- Time_constant wikiPageExternalLink calculator-timeconstant.htm.
- Time_constant wikiPageID "19770252".
- Time_constant wikiPageRevisionID "604892304".
- Time_constant hasPhotoCollection Time_constant.
- Time_constant subject Category:Neurobiology.
- Time_constant subject Category:Physical_constants.
- Time_constant comment "In physics and engineering, the time constant, usually denoted by the Greek letter (tau), is the parameter characterizing the response to a step input of a first-order, linear time-invariant (LTI) system. The time constant is the main characteristic unit of a first-order LTI (linear time-invariant) system....In the time domain, the usual choice to explore the time response is through the step response to a step input, or the impulse response to a Dirac delta function input.".
- Time_constant label "Constante de tempo".
- Time_constant label "Constante de temps".
- Time_constant label "Costante di tempo".
- Time_constant label "Stała czasowa".
- Time_constant label "Time constant".
- Time_constant label "Zeitkonstante".
- Time_constant label "Постоянная времени".
- Time_constant label "时间常数".
- Time_constant label "時定数".
- Time_constant sameAs Zeitkonstante.
- Time_constant sameAs Constante_de_temps.
- Time_constant sameAs Costante_di_tempo.
- Time_constant sameAs 時定数.
- Time_constant sameAs Stała_czasowa.
- Time_constant sameAs Constante_de_tempo.
- Time_constant sameAs m.02n371.
- Time_constant sameAs Q1335249.
- Time_constant sameAs Q1335249.
- Time_constant wasDerivedFrom Time_constant?oldid=604892304.
- Time_constant isPrimaryTopicOf Time_constant.