1.a. Analyze following circuit to get voltage gain equation if M2 is twice wide as that of M1 and Vin1=Vin2

1.b Explain importance of Miller Theorem

1.c Explain input output characteristics of phase detector (PD) circuit

1.d Draw and explain AMS design flow

2.a Derive expression for Voltage gain Av and output resistance Ro of Source follower stage.

2.b Explain in detail how to generate temperature independent references.

3.a Explain qualitative analysis of differential pair.

3.b Explain concept of switched capacitor circuits and hence explain switched capacitor amplifiers in detail.

4.a Explain common mode response of differential pair with necessary derivations.

4.b Explain White & Flicker noise in MOSFET. Derive equation for output and input referred noise voltage of CS stage.

5 Design two stage Operational Transconductance Amplifier(OTA) to meet following specifications-with a phase margin of 60, A$_V$>4000v/v ,V$_{dd}$=2.5V, V$_{ss}$= -2.5v, GBW=6MHz, CL=10pf, SR>10v/$\mu$sec, Vout range= +/- 2V, ICMR=-1.125V to 2V, Pdiss<=2.5mw Use, K$_N$=110$\mu A/V^2$, K$_P$=50$\mu A/V^2$, V$_{TN}$=$\mid$V$_{TP} \mid$=0.7V, $\lambda _N$=0.04V$^{-1}$, and $\lambda _P$=0.05V$^{-1}$ , Cox=2.47fF/$\mu m^2$, Verify that the designed circuit meets required Voltage Gain and Power Dissipation specifications.

6.a Give comparison between Full-custom and Semi-custom design.

6.b Compare various opamp topologies

6.c Explain in detail charge pump PLL

6.d Write a short note on Gilbert Cell