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Hybrid-pi model : ウィキペディア英語版
Hybrid-pi model
The hybrid-pi model is a popular circuit model used for analyzing the small signal behavior of bipolar junction and field effect transistors. Sometimes it is also called Giacoletto model because it was introduced by L.J. Giacoletto in 1969.〔Giacoletto, L.J. "Diode and transistor equivalent circuits for transient operation" IEEE Journal of Solid-State Circuits, Vol 4, Issue 2, 1969 ()〕 The model can be quite accurate for low-frequency circuits and can easily be adapted for higher frequency circuits with the addition of appropriate inter-electrode capacitances and other parasitic elements.
==BJT parameters==
The hybrid-pi model is a linearized two-port network approximation to the BJT using the small-signal base-emitter voltage, \scriptstyle v_\text, and collector-emitter voltage, \scriptstyle v_\text, as independent variables, and the small-signal base current, \scriptstyle i_\text, and collector current, \scriptstyle i_\text, as dependent variables.〔

A basic, low-frequency hybrid-pi model for the bipolar transistor is shown in figure 1. The various parameters are as follows.
:g_\text = \left.\frac}\right\vert_ = \frac}
is the transconductance, evaluated in a simple model,〔
〕 where:
* \scriptstyle I_\text \, is the quiescent collector current (also called the collector bias or DC collector current)
* \scriptstyle V_\text ~=~ \frac is the ''thermal voltage'', calculated from Boltzmann's constant, \scriptstyle k, the charge of an electron, \scriptstyle e, and the transistor temperature in kelvins, \scriptstyle T. At approximately room temperature (295K, 22°C or 71°F), \scriptstyle V_\text is about 25 mV.
:r_\pi = \left.\frac}\right\vert_ = \frac} = \frac is the DC (bias) base current.
* \scriptstyle \beta_0 ~=~ \frac} \, is the current gain at low frequencies (generally quoted as ''h''fe from the h-parameter model). This is a parameter specific to each transistor, and can be found on a datasheet.
* \scriptstyle r_\text ~=~ \left.\frac}\right\vert_ ~=~ \frac \,+\, V_\text\right) ~\approx~ \frac} is the output resistance due to the Early effect (\scriptstyle V_\text is the Early voltage).

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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