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A pair's collector loads are \( 20 \ \mathrm{k\Omega} \) with a tail current of \( 200 \ \mathrm{\mu A} \). Its single-ended gain is about

  • A.154
  • B.40
  • C.308
  • D.77

Answer: D

Each device carries a hundred microamps:

\[ \begin{aligned} g_{m} &= \tfrac{100\mathrm{\mu}}{26\mathrm{m}} \approx 3.85 \ \mathrm{mS} \\ A_{v} &\approx \tfrac{3.85\mathrm{m} \times 2\times10^{4}}{1} \approx 77 \end{aligned} \]

Taking the single-ended halving into account gives about 77. Halving the tail current before computing the transconductance is the step that matters, and forgetting it doubles the answer.

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