Voltage, current, and charge control, Electrical Engineering

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Voltage, current, and charge control:

The collector-emitter current can be seen as being controlled through the base-emitter current (current control), or through the base-emitter voltage (voltage control). These views are associated by the current-voltage relation of the base-emitter junction that is just the usual exponential current-voltage curve of a p-n junction (diode).

The physical description for collector current is the quantity of minority-carrier charge in the base region. Detailed models of transistor action, like the Gummel-Poon model, account for the distribution of this charge explicitly to describe transistor behavior much more exactly. The charge-control view simply handles phototransistors, in which minority carriers in the base region are made by the absorption of photons, and handles the dynamics of turn-off, or recovery time, which depends upon charge in the base region recombining. Though, because base charge is not a signal which is visible at the terminals, the current- and voltage-control views are usually employed in circuit design and analysis.

Within analog circuit design, the current-control view is sometimes employed because it is approximately linear. i.e., the collector current is almost βF times the base current. Some fundamental circuits can be considered by assuming that the emitter-base voltage is approximately constant, and that collector current is beta times the base current. Though, to accurately and reliably design production bipolar junction transistor circuits, the voltage-control (for instance, Ebers-Moll) model is needed. The voltage-control model needs an exponential function to be taken into consideration, but while it is linearized such that the transistor can be modeled like a transconductance, like in the Ebers-Moll model, design for circuits like differential amplifiers again becomes a mostly linear problem, thus the voltage-control view is frequently preferred. For translinear circuits, where the exponential I-V curve is key to the operation, the transistors are generally modeled as voltage controlled with transconductance proportional to collector current. Usually, transistor level circuit design is carried out by using SPICE or a comparable analogue circuit simulator, so model complexity is generally not of much concern to the designer.


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