Consider the circuit shown below. Assume the AC source has the form vs

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Consider the circuit shown below. Assume the AC source has the form vs(t) = Vs cos⁡(ωt) and the capacitors are short circuits at AC and open at DC. Assume VDD = 15 V and RS = 1 kΩ, and Vt = 1 V. Determine the operating region of the NMOS transistor and, if applicable, give an approximate value of the transconductance, gm. . Use K = 1 mA/V2; K = 12 k'WL) (points 30)Use R′s = 30 kΩ. Determine the mid-band gain of the amplifier, Av = vout vs. (points 20)Can this circuit be treated as an amplifier? If so, inverting, or non-inverting amplifier. (points 10)

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Consider the circuit shown below. Assume the $A C$ source has the form $v s (t) = V s$ $\cos (ω t)$ and the capacitors are short circuits at $A C$ and open at DC.
Assume $V_{D D} = 15 V$ and $R_{S} = 1 k Ω$ , and $V_{t} = 1 V$ . Determine the operating region of the NMOS transistor and, if applicable, give an approximate value of the transconductance, $g_{m .}$ . Use $K = 1 m A / V^{2}; K = \frac{1}{2} k, \frac{W}{L})$ (points 30)
Use $R^{'}_{s} = 30 k Ω$ . Determine the mid-band gain of the amplifier, $A_{v} = \frac{vout}{v s}$ . (points 20)
Can this circuit be treated as an amplifier? If so, inverting, or non-inverting amplifier. (points 10)