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A bias divider of \( 47 \ \mathrm{k} \) and \( 12 \ \mathrm{k} \) is placed across that input. The stage's input impedance becomes about

  • A.39 kilohms
  • B.6.4 kilohms
  • C.30 kilohms
  • D.9.6 kilohms, the divider's parallel value alone

Answer: B

Three resistances now appear in parallel:

\[ \begin{aligned} r_{in} &= 30 \ \mathrm{k} \| 47 \ \mathrm{k} \| 12 \ \mathrm{k} \\ &\approx 6.4 \ \mathrm{k\Omega} \end{aligned} \]

giving about 6.4 kilohms - the divider has cut the figure by nearly five to one. That the bias network usually dominates a stage's input impedance is the single most common surprise in these calculations, and it follows from the divider being made deliberately stiff.

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