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With that Thevenin resistance and a base voltage of \( 2 \ \mathrm{V} \) from a \( 12 \ \mathrm{V} \) supply, the two divider resistors are about

  • A.90 k and 18 k
  • B.18 k and 90 k, with the larger arm to ground
  • C.15 k and 15 k
  • D.60 k and 12 k, which give the right ratio but the wrong parallel value

Answer: A

The ratio fixes their proportion and the parallel value fixes their size:

\[ \begin{aligned} \frac{R_{2}}{R_{1}+R_{2}} &= \frac{2}{12} \\ R_{1} \| R_{2} &= 15 \ \mathrm{k\Omega} \end{aligned} \]

which gives about 90 k and 18 k, the larger arm to the supply. Reversing them would put the base at ten volts. Two conditions determine two unknowns, and setting both up before solving avoids the guesswork.

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