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  2. Time constant - Wikipedia

    en.wikipedia.org/wiki/Time_constant

    First order LTI systems are characterized by the differential equation + = where τ represents the exponential decay constant and V is a function of time t = (). The right-hand side is the forcing function f(t) describing an external driving function of time, which can be regarded as the system input, to which V(t) is the response, or system output.

  3. RL circuit - Wikipedia

    en.wikipedia.org/wiki/RL_circuit

    These equations show that a series RL circuit has a time constant, usually denoted τ = ⁠ L / R ⁠ being the time it takes the voltage across the component to either fall (across the inductor) or rise (across the resistor) to within ⁠ 1 / e ⁠ of its final value. That is, τ is the time it takes V L to reach V(⁠ 1 / e ⁠) and V R to ...

  4. RC time constant - Wikipedia

    en.wikipedia.org/wiki/RC_time_constant

    The RC time constant, denoted τ (lowercase tau), the time constant (in seconds) of a resistor–capacitor circuit (RC circuit), is equal to the product of the circuit resistance (in ohms) and the circuit capacitance (in farads):

  5. Oscilloscope - Wikipedia

    en.wikipedia.org/wiki/Oscilloscope

    The RC time constants are adjusted to match. For example, the 9 megohm series resistor is shunted by a 12.2 pF capacitor for a time constant of 110 microseconds. The cable capacitance of 90 pF in parallel with the scope input of 20 pF and 1 megohm (total capacitance 110 pF) also gives a time constant of 110 microseconds.

  6. Relaxation (physics) - Wikipedia

    en.wikipedia.org/wiki/Relaxation_(physics)

    The relaxation time is a measure of the time it takes for one object in the system (the "test star") to be significantly perturbed by other objects in the system (the "field stars"). It is most commonly defined as the time for the test star's velocity to change by of order itself. [6] Suppose that the test star has velocity v.

  7. RC circuit - Wikipedia

    en.wikipedia.org/wiki/RC_circuit

    These equations show that a series RC circuit has a time constant, usually denoted τ = RC being the time it takes the voltage across the component to either rise (across the capacitor) or fall (across the resistor) to within ⁠ 1 / e ⁠ of its final value. That is, τ is the time it takes V C to reach V(1 − ⁠ 1 / e ⁠) and V R to reach ...

  8. Open-circuit time constant method - Wikipedia

    en.wikipedia.org/wiki/Open-circuit_time_constant...

    An increase in this variable means the higher pole is further above the corner frequency. The y-axis is the ratio of the OCTC (open-circuit time constant) estimate to the true time constant. For the lowest pole use curve T_1; this curve refers to the corner frequency; and for the higher pole use curve T_2. The worst agreement is for τ 1 = τ 2.

  9. Exponential growth - Wikipedia

    en.wikipedia.org/wiki/Exponential_growth

    If the constant of proportionality is negative, then the quantity decreases over time, and is said to be undergoing exponential decay instead. In the case of a discrete domain of definition with equal intervals, it is also called geometric growth or geometric decay since the function values form a geometric progression .