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Q5. For the amplifier circuit shown in Fig. Q5, the NMOS transistor

M_{l}

has the following parameters:

K_{n} = 0.75 m A / V^{2}, λ = 0.01 V^{- 1}

and

V_{T H} = 1 V

. Fig. Q5

(a) Calculate

R_{2}

such that the

D C

drain current through

M_{l}

1.5 m A

. Verify that the MOSFET is operating in the saturation region.

[

Ans:

R_{2} = 20.6 k Ω]

(b) Calculate the parameters,

g_{m}

and

r_{o}

, of the AC small signal model of the transistor

M_{l}

[Ans: g_{m} = 2.12 m A / V; r_{o} = 66.7 k Ω]

R_{in}

. (e) Calculate the output resistance,

R_{out}

\begin{array}{l} [Ans: R_{out} = 17.1 k Ω] \\ [Ans: R_{out} = 3.8 k Ω] \end{array}

(f) Estimate the voltage gain,

A_{v} (= v_{out} / v_{in})

[Ans: v_{out} / v_{in} = - 4.26]

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