Question Paper: Microelectronics Question Paper - Dec 18 - Electronics And Telecomm (Semester 5) - Mumbai University (MU)

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## Microelectronics - Dec 18

### Electronics And Telecomm (Semester 5)

Total marks: 80

Total time: 3 Hours
INSTRUCTIONS

(1) Question 1 is compulsory.

(2) Attempt any **three** from the remaining questions.

(3) Draw neat diagrams wherever necessary.

**1.a.**List the steps involved in fabrication process of MOSFET.

**1.b.**Compare the output resistance of the cascade MOSFET current source to that of the two-transistor current source. Assume $I_{R E F}=I_{O}=100 \mu \mathrm{A}$ in both the circuits, $\lambda=0.01 \mathrm{V}^{-1}$ for all transistors, and $g_{m}=0.5 \mathrm{mA} / \mathrm{V}$ .

**1.c.**Draw a mask layout of NMOS transistor.

**1.d.**Derive the equation for output resistance of common gate amplifier.

**1.e.**Draw the equivalent model for transformer and explain.

**1.f.**List the second order effects in MOSFET. Discuss any one of them.

**2.a.**Why is scaling required? Discuss the various types of scaling.

**2.b.**Consider the MOSFET current source in Fig. 2 (b) with $V^{+}=10 \mathrm{V}$ and $V=0,$ and the transistor parameters are: $V_{T N}=1.8 \mathrm{V}, 1 / 2 \mu_{n} C_{a x}=20 \mu \mathrm{A} / \mathrm{V}^{2},$ and $\quad \lambda=$ 0.01 $\mathrm{V}^{-1}$ . The transistor width-to-length ratios are: $(\mathrm{W} / \mathrm{L})_{2}=6,(\mathrm{W} / \mathrm{L})_{1}=12,$ $(\mathrm{W} / \mathrm{L})_{3}=3 .$ Determine (i) $\mathrm{I}_{\text {REF},},$ (ii) $\mathrm{Io}$ at $V_{\text {DS } 2}=2 \mathrm{v}$ .

**3.a.**Consider the differential amplifier shown in Fig. 3$(a)$ . The transistor parameters are: $K_{n1}=K_{n2}=0.1 \mathrm{mA} \mathrm{V}^{2}, K_{n 3}=K_{n4}=0.3 \mathrm{mAV}^{2},$ and for all transitors, $\lambda=0$ and $V_{T N}=1 \mathrm{V} .$ Determine the maximum range of common-mode input voltage.

**3.b.**With a neat circuit explain Bias Independent Current Source using MOSFET.

**4.a.**For the circuit shown in Fig. $4(a),$ let $V_{D D}=V_{S S}=1.5 \mathrm{V}, V_{T N}=0.6 \mathrm{V},$ $V_{TP}-0.6 \mathrm{V},$ all channel lengths $=1 \mu \mathrm{m}, k_{n}^{\prime}=200 \mu \mathrm{A} / \mathrm{V}^{2}, k_{p}^{\prime}=80 \mu \mathrm{A} / \mathrm{V}^{2},$ and $\lambda=0 .$ For $I_{R E F}=10 \mu \mathrm{A},$ find the widths of all transistors to obtain $I_{2}=60 \mu \mathrm{A}, I_{3}=20 \mu \mathrm{A},$ and $I_{5}=80 \mu A$ . It is further required that the voltage at the drain of $Q_{2}$ be allowed to go down to within 0.2 V of the negative supply and that the voltage at the drain of $Q_{5}$ be allowed to go up to within 0.2 V of the positive supply.

**4.b.**Draw a small signal equivalent structure of Diff-amp and derive the equation for its CMRR.

**5.a.**Draw a neat diagram of Class B power amplifier. Derive equation for its efficiency.

**5.b.**A CS amplifier utilizes an NMOS transistor with $L=0.36 \mu \mathrm{m}$ and $W / L=10 ;$ it was fabricated in a $0.18-\mu \mathrm{m}$ CMOS process for which $\mu_{n} C_{o x}=387 \mu \mathrm{A} / \mathrm{V}^{2}$ and $V_{A}^{\prime}=$ $5 \mathrm{V} / \mu \mathrm{m} .$ Find the values of $g_{m}$ and $A_{0}$ obtained at $I_{D}=10 \mu \mathrm{A}$

**Short notes on: (Attempt any four)**

**6.a.**Short channel effects in MOSFET.

**6.b.**Wilson Current Mirror.

**6.c.**MOS device capacitance.

**6.d.**Folded cascode MOS amplifier.

**6.e.**Fabrication of inductors.