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A divider bias stage has \( R_{1} = 47 \ \mathrm{k\Omega} \), \( R_{2} = 10 \ \mathrm{k\Omega} \) and \( V_{CC} = 12 \ \mathrm{V} \). The base voltage is about

  • A.1.2 V, taking only the lower resistor into account by itself
  • B.9.9 V
  • C.6 V, the value a divider of two equal resistors would give
  • D.2.1 V

Answer: D

Applying the divider ratio:

\[ V_{B} = 12 \times \frac{10}{57} \approx 2.1 \ \mathrm{V} \]

giving about 2.1 volts, before allowing for the base current the divider also has to supply. The unloaded ratio is the starting point and the loading correction is small in a stiff divider, which is exactly the approximation stiffness buys.

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