Calculate the Transconductance for a MOSFET, given W,L,Vg,Vd,u,Cox but not Vth

[genxium]

Homework Statement

This problem is given to me by programme inductor, and I just copy the whole description here so every given element is the same as what he/she gives. I'm confused with the given conditions.

1) What is the transconductance (gm) of a MOSFET biased at W=L=1um,
uCox=0.01A/V^2, Vg= 1V and Vd=1V?

2) For the same transistor with a load resistance of 100ohm, what is the
voltage gain?

Homework Equations

Triode mode or linear region, When VGS > Vth and VDS < ( VGS – Vth )

$$I_D=\mu_nC_{ox}\frac{W}{L}((V_{GS}-V_{th})V_{DS}-\frac{V_{DS}^2}{2})$$

Saturation or active mode, When VGS > Vth and VDS > ( VGS – Vth )

$$I_D=\frac{\mu_nC_{ox}}{2}\frac{W}{L}(V_{GS}-V_{th})^2(1+\lambda (V_{DS}-V_{DSsat}))$$

or

$$I_D \approx \frac{\mu_nC_{ox}}{2}\frac{W}{L}(V_{GS}-V_{th})^2$$

The derivation is http://ecee.colorado.edu/~bart/book/book/chapter7/ch7_3.htm" .

The Attempt at a Solution

I'm afraid the threshold voltage Vth should be given to do the calculation, besides, Vg=Vd=1V here so the transistor should be in Saturation Mode , should I assume the value of Vth by myself or just assume that Vg-Vth is approximately equal to Vd ?

 

[KataKoniK]

it is important to always work with the given information and not make assumptions. In this case, you are correct that the threshold voltage (Vth) is needed in order to calculate the transconductance (gm) and voltage gain of the MOSFET. I would suggest reaching out to the programme inductor for clarification on the given conditions, specifically the value of Vth. Without this information, it is not possible to accurately calculate the transconductance and voltage gain. Additionally, it is important to understand the conditions under which the MOSFET is operating (triode or saturation mode) in order to use the correct equations. Again, I would recommend seeking clarification from the programme inductor or referencing additional resources for more information on MOSFET operation.