Discussion
A MOSFET has \( V_{T} = 2 \ \mathrm{V} \) and \( k = 0.5 \ \mathrm{mA/V^{2}} \). At \( V_{GS} = 5 \ \mathrm{V} \) its drain current is
Answer: D
Applying the enhancement-mode square law to the overdrive voltage:
\[ \begin{aligned} I_{D} &= k(V_{GS}-V_{T})^{2} \\ &= 0.5(3)^{2} = 4.5 \ \mathrm{mA} \end{aligned} \]
giving 4.5 mA. Using the full five volts rather than the three volts of overdrive gives 12.5 mA, which is the standard error. Subtracting the threshold before squaring is the one step that matters, and it is easy to overlook when the numbers are convenient.
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