Consider the following circuit. Process transconductance parameter = 0.50 mA/V2, W/L=1, Threshold voltage = 3V, VDD = 20V. Find the operating point of circuit.
A)20v, 25ma
B)13v, 22ma
C)12.72v, 23.61ma
D)20v, 23.61ma

Question

Quizplus · Accepted Answer

The operating point of the circuit can be found by using the MOSFET equation for the saturation region, $I_D = \frac{1}{2} \mu_n C_{ox} \left(\frac{W}{L}\right) (V_{GS} - V_{th})^2$, where $I_D$ is the drain current, $\mu_n C_{ox}$ is the process transconductance parameter, $W/L$ is the width to length ratio of the MOSFET, $V_{GS}$ is the gate-source voltage, and $V_{th}$ is the threshold voltage. Given that the process transconductance parameter is 0.50 mA/V^2, $W/L=1$, and the threshold voltage is 3V, we can find the drain current $I_D$ when the MOSFET is in saturation. Assuming $V_{GS} = V_{DS}$ for saturation and using $V_{DD}$ to find $V_{GS}$, we can solve for $V_{GS}$ and $I_D$. The correct operating point that matches the given parameters and the calculations is 12.72V, 23.61mA, making option C the correct answer.

Consider the Following Circuit