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Question

In emitter bias configuration, the stability factor $S(I_{CO})$ is defined as

The correct answer is
$$(\beta + 1) \frac{1 + \frac{R_B}{R_E}}{(\beta + 1) + \frac{R_E}{R_B}}$$

Emitter Bias Stability Factor $S(I_{CO})$ Formula

The stability factor $S(I_{CO})$ is a critical parameter in transistor circuit analysis. It measures how sensitive the collector current ($I_C$) is to changes in the reverse saturation current ($I_{CO}$), typically caused by temperature variations. A lower value of $S(I_{CO})$ indicates better stability.

Stability Factor Formula for Emitter Bias

In the emitter bias configuration, the stability factor concerning $I_{CO}$ is expressed as follows:

$ S(I_{CO}) = (\beta + 1) \frac{1 + \frac{R_B}{R_E}}{(\beta + 1) + \frac{R_E}{R_B}} $

Formula Components Explained

  • $S(I_{CO})$: Represents the stability factor with respect to the reverse saturation current ($I_{CO}$).
  • $\beta$: Denotes the small-signal common-emitter current gain of the bipolar junction transistor (BJT).
  • $R_B$: The resistance connected to the base of the transistor.
  • $R_E$: The resistance connected in the emitter path.

This formula highlights the interdependence of stability on the transistor's gain ($\beta$) and the chosen resistor values ($R_B$ and $R_E$) in the emitter bias circuit.

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