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The drain current of a MOSFET in saturation is given by $I_{D}=K\left(V_{G S}-V_{T}\right)^{2}$ where $K$ is a constant. The magnitude of the transconductance $g_{m}$ is

  1. $\frac{K\left(V_{G S}-V_{T}\right)^{2}}{V_{D S}}$
  2. $2 K\left(V_{G S}-V_{T}\right)$
  3. $\frac{I_{d}}{V_{G S}-V_{D S}}$
  4. $\frac{K\left(V_{G S}-V_{T}\right)^{2}}{V_{G S}}$
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