Problem 1: Consider a MOS cascode amplifier with active load in Fig. 1

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Problem 1: Consider a MOS cascode amplifier with active load in Fig. 1 μnCox = 400 μA/V2 μpCox = 200 μA/V2 NMOS transistors M1 and M2 are matched: (W/L)1 = (W/L)2 = 1 μm/10 nm PMOS transistors M3 and M4 are matched: (W/L)3 = (W/L)4 = 2 μm/10 nm All transistors Are biased to operated in their saturation region. The bias current ID is ID = 2 mA Ignore body effect. λn = λp = 0.05 V−1 Question 1. Calculate the overall equivalent transconductance Fig. 1 Question 2. Calculate the equivalent output resistance Question 3. Calculate the voltage gain

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Problem 1: Consider a MOS cascode amplifier with active load in Fig. 1 $μ_{n} C_{o x} = 400 μ A / V^{2}$ $> μ_{p} C_{o x} = 200 μ A / V^{2}$

NMOS transistors $M_{1}$ and $M_{2}$ are matched: $(W / L)_{1} = (W / L)_{2} = 1 μ m / 10 n m$ PMOS transistors $M_{3}$ and $M_{4}$ are matched: $(W / L)_{3} = (W / L)_{4} = 2 μ m / 10 n m$ $>$ All transistors Are biased to operater in their saturation region. $>$ The bias current $I_{D}$ is $I_{D} = 2 m A$ $>$ Ignore body effect. $> λ_{n} = λ_{p} = 0.05 V^{- 1}$ Question 1. Calculate the overall equivalent transconductance Fig. 1