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Bias Circuit

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The equation set above has three unknowns, IC, IB, and VBE. The equations can be combined to<br />

obtain a function for IC,<br />

Equation C.3<br />

A good estimate can be obtained with using VBE<br />

Equation C.4<br />

0.6 V, giving simply<br />

The simple expression is sufficient, for example, for selecting a value for RB in the circuit of<br />

Fig. C.1(a) in the BJT amplifier project. We have also neglected the dependence of βDC on VBC<br />

of (B.11). This is a reasonable approximation for establishing the nominal values for the<br />

measurement circuit components.<br />

The collector – emitter voltage, VCE, is then established with<br />

Equation C.5<br />

In designing a project circuit for a current sweep, RB and RC are selected for the highest<br />

currents and highest DAQ output voltage. In the amplifier project, the circuit of Fig. C.1(b)<br />

uses the resistors from the circuit of Fig. C.1(a). It thus has a unique bias variable and VCC<br />

solution for a given design VCE requirement. This is based on (C.3) and (C.5) and is<br />

Equation C.6<br />

In the amplifier project, the project Mathcad file is used to find the solution for VCC [with an<br />

educated guess for VBE, as in (C.4)]. If the result has VCC > 10 V, the limit from the DAQ, it is<br />

necessary to decrease RC or increase RB. This may be necessary, as the transistor βDC is not<br />

known with precision at the point of the selection of the resistor values. After measuring the<br />

actual VCC, the result is used in the Mathcad file to compute a value for βDC from a circuit<br />

solution.

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