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A stage runs at \( I_{C} = 0.5 \ \mathrm{mA} \). Its intrinsic emitter resistance is about

  • A.500 ohms
  • B.52 ohms
  • C.26 ohms, the value at one milliamp
  • D.13 ohms

Answer: B

The emitter resistance is the thermal voltage over the current:

\[ \begin{aligned} r_{e} &= \frac{26 \ \mathrm{mV}}{0.5 \ \mathrm{mA}} \\ &= 52 \ \Omega \end{aligned} \]

giving about 52 ohms, twice the value at a milliamp because the current is half. The inverse relation means halving the current doubles the resistance and halves the gain a given collector resistor can produce, which is why the operating current is a gain decision as well as a bias one.

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