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A divider must be stiff against a base impedance of \( 150 \ \mathrm{k\Omega} \). Its Thevenin resistance should be no more than about

  • A.150 kilohms, matching the impedance it works into
  • B.75 kilohms, half the impedance looking into the base
  • C.1.5 megohms
  • D.15 kilohms

Answer: D

The usual criterion is a tenth of the reflected impedance:

\[ \begin{aligned} R_{th} &\le \frac{150 \ \mathrm{k}}{10} \\ &= 15 \ \mathrm{k\Omega} \end{aligned} \]

giving about 15 kilohms. Matching the two would leave the base voltage moving noticeably with beta, and a larger value would be worse still. A factor of ten is the conventional margin for treating one impedance as negligible beside another, and it recurs throughout circuit design.

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