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A self-biased device carries \( 4 \ \mathrm{mA} \) through \( R_{S} = 500 \ \Omega \). Its gate-source voltage is

  • A.-4 V
  • B.-0.5 V
  • C.-2 V
  • D.+2 V

Answer: C

The source rises above the grounded gate by the resistive drop:

\[ \begin{aligned} V_{GS} &= -I_{D}R_{S} \\ &= -4\mathrm{m} \times 500 \\ &= -2 \ \mathrm{V} \end{aligned} \]

giving -2 volts. The sign is the whole point: it is negative because the gate is below the source, which is the reverse bias a depletion device requires. A positive answer would mean the gate junction was conducting.

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