Definitions for time constant
time con·stant

Princeton's WordNetRate this definition:0.0 / 0 votes

1. time constantnoun

   (electronics) the time required for the current or voltage in a circuit to rise or fall exponentially through approximately 63 per cent of its amplitude

2. time constantnoun

   the ratio of the inductance of a circuit in henries to its resistance in ohms

WiktionaryRate this definition:0.0 / 0 votes

1. time constantnoun

   A characteristic of an exponential function, represented by u03C4 in the function:

2. time constantnoun

   The time in which a physical system's response to a step-wise change in an external variable reaches approximately 63% of its final (asymptotic) value.

WikipediaRate this definition:0.0 / 0 votes

1. Time constant

   In physics and engineering, the time constant, usually denoted by the Greek letter τ (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 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 modelled 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 time constant represents the elapsed time required for the system response to decay to zero if the system had continued to decay at the initial rate, because of the progressive change in the rate of decay the response will have actually decreased in value to 1 / e ≈ 36.8% in this time (say from a step decrease). In an increasing system, the time constant is the time for the system's step response to reach 1 − 1 / e ≈ 63.2% of its final (asymptotic) value (say from a step increase). In radioactive decay the time constant is related to 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.

ChatGPTRate this definition:0.0 / 0 votes

1. time constant

   A time constant is a parameter characterizing the response to a step input of a first-order, linear time-invariant (LTI) system. It is the time duration required for the system's response to reach approximately 63.2% of its final value, after a step input or in a relaxation process. The time constant is typically denoted by the Greek letter tau (τ), and it can be determined for many different systems including electrical circuits, mechanical systems, and fluid systems. It also applies in exponential decay context, representing the time it takes for any variable to decay to about 37% of its initial value. Eventually, time constant provides a measure of a system’s speed of response to changing inputs or disturbances.

WikidataRate this definition:0.0 / 0 votes

1. Time constant

   In physics and engineering, the time constant, usually denoted by the Greek letter, is the parameter characterizing the response to a step input of a first-order, linear time-invariant system. The time constant is the main characteristic unit of a first-order LTI 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 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 also is 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.

The Standard Electrical DictionaryRate this definition:0.0 / 0 votes

1. Time Constant

   (a) When current is first turned into a circuit of considerable self-induction it is resisted rather by the inductance than by the resistance. It is governed by the ratio of resistance and self-induction and this factor represents the time which it takes for the current to reach a definite fraction of its final strength. This fraction is (2.7183 - 1)/2.7183  or 0.63. 2.7183 is the base of the Napierian system of logarithms. Thus if in any circuit we divide the inductance in henries by the resistance in ohms, the ratio gives the time-constant of the circuit, or it expresses the time which it will take for the current to reach 0.63 of its final value. (b) In a static condenser the time required for the charge to fall to 1/2.7183th part of its original value.

Matched Categories

1. • Electronics
   • Ratio
   • Time Interval

How to pronounce time constant?

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How to say time constant in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of time constant in Chaldean Numerology is: 1

2. Pythagorean Numerology

   The numerical value of time constant in Pythagorean Numerology is: 9

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=time constant
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Time_Constant
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Time_Constant
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=time constant
6. ^ The Standard Electrical Dictionary
   https://www.gutenberg.org/cache/epub/26535/pg26535-images.html#:~:text=time constant