-The MOSFET in Figure has the following specifications: IDon) = 10 mA @ VGSon) = 10 V and VGSTh) = 2 V. Determine the minimum value of k for this circuit.

Question

-The MOSFET in Figure  has the following specifications: IDon) = 10 mA @ VGSon) = 10 V and VGSTh) = 2 V. Determine the minimum value of k for this circuit.

Quizplus · Accepted Answer

The minimum value of $k$ can be determined using the formula for the drain current $I_D$ in the saturation region of a MOSFET, which is given by $I_D = \frac{1}{2}k(V_{GS} - V_{Th})^2$, where $V_{GS}$ is the gate-source voltage, $V_{Th}$ is the threshold voltage, and $k$ is a constant that characterizes the transistor. Given $I_D = 10 mA = 0.01 A$, $V_{GS} = 10 V$, and $V_{Th} = 2 V$, we can solve for $k$:$$0.01 = \frac{1}{2}k(10 - 2)^2$$$$0.01 = 4k$$$$k = 0.01 / 4 = 0.0025 A/V^2 = 2.5 \times 10^{-3} A/V^2$$However, the correct calculation should be:$$0.01 = \frac{1}{2}k(10 - 2)^2$$$$0.01 = \frac{1}{2}k(8)^2$$$$0.01 = \frac{1}{2}k(64)$$$$k = \frac{0.01}{32} = 0.0003125 A/V^2$$This was a mistake in my calculation steps leading to the wrong interpretation of the options provided. The correct approach to find $k$ involves using the given values in the formula correctly and ensuring the units and calculations align with the options given. The correct value of $k$ should match one of the provided options, considering the correct application of the formula and calculation steps. Given the options, none directly match the miscalculated value, indicating a mistake in the calculation process. The correct calculation should align with the given options, which requires accurately applying the formula and ensuring the mathematical steps are correctly followed.

-The MOSFET in Figure Has the Following Specifications: IDon)