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Radio Frequency Integrated Circuit Design - Webs

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A Brief Review of Technology<br />

IC = IS e (V BE /v T )<br />

45<br />

(3.1)<br />

where IS is a constant known as the saturation current, VBE is the dc bias between<br />

the base and emitter, and v T is the thermal voltage given by<br />

v T = kT<br />

q<br />

(3.2)<br />

where q is the electron charge, T is the temperature in Kelvin, and k is Boltzmann’s<br />

constant. The thermal voltage is approximately equal to 25 mV at a<br />

temperature of 290K, close to room temperature.<br />

Figure 3.3 shows the collector characteristics for a typical bipolar transistor.<br />

The transistor has two other regions of operation usually avoided in analog<br />

design. When the base-emitter junction is not forward biased, the transistor is<br />

cut off. The transistor is in the saturated region if both the base-emitter and<br />

collector-emitter junctions are forward biased. In saturation, the base is flooded<br />

with minority carriers. This generally leads to a delayed response when the bias<br />

conditions change to another region of operation. In saturation, V CE is typically<br />

less than a few tenths of a volt. Note that in the active region, the collector<br />

current is not constant. There is a slope to the current versus voltage curve,<br />

indicating that the collector current will increase with collector-emitter voltage.<br />

The slopes of all the lines are such that they will meet at a negative voltage VA<br />

called the Early voltage. This voltage can be used to characterize the transistor<br />

output impedance.<br />

The intrinsic transistor is connected through the diffusion regions to the<br />

external contacts labeled e, b, and c. These connections add series resistance<br />

and increase the parasitic capacitance between the regions. The series resistance<br />

Figure 3.3 Transistor characteristic curves.

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