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Determine voltage gain and output resistance in following source-followers. Assume M1 and M2 are in saturation, and use gm1, r01 and gm2, r02 for their small-signal parameters. (a) (b)

Determine voltage gain and output resistance in following source-followers. Assume M1 and M2 are in saturation, and use gm1, r01 and gm2, r02 for their small-signal parameters. (a) (b)

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Determine voltage gain and output resistance in following source-followers. Assume M 1 and M 2 are in saturation, and use g m 1 , r 01 and g m 2 , r 02 for their small-signal parameters. (a) (b)

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Assume the circuit where M1 and M2 operate in saturation and exhibit channel-length modulation coefficients (λn and λp), transconductances (gmn and gmp), output resistance ( ron and rop) respectively. Please answer the following questions. (a) What is the difference between the MOSFET output curves (drain current vs. drain voltage) with and without channel-length modulation effects? (b) Draw the small-signal equivalent circuit of the figure below at low frequency. (c) Determine the small-signal voltage gain of the circuit below. (d) If finite resistance R5′s are added to the source terminals of M1 and M2 in series, will the small-signal voltage gain increase, decrease, or remain the same?

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ajiv Gandhi University of Knowledge Technologics (Department of Electronics and Communication Engineering) MONTHLY TEST - 2 Year/Sem: E2-SEMII Subject: AEC Subject Code:23 EC2101 Date: 17-10-2023 Time: 45 Minutes Max. Marks: 15 Marks Section-A ― Answer the following question. (1 X7 = 7 Marks)a) For the common source amplifier as shown in fig below, Given μaCnt(W/L) = 0.25 mA/V2, Vm = 1.5 V, VA = 50 v (use VA for riscalculation (x≠0) then. Find MILLER'S THEOREM i) small signal voltage gain ii) input resistance and output resistance iii) maximum allowable imput signal (OR)For the Differential amplifier as shown in fig below, Given μ2 Cin = 100 μA/V2, Vti = 1 V, +VDD = +5 V, −VSS = −5 V; Neglect Channel length modulation. Assume M1 and M2 are matched(identical) transistors. find V1, V2 and V3 for the following cases a) (W/L)1 = (W/L)2 = 20 b) (W/L)1 = 1.5(W/L)2 = 20; Section-B Answer the following question. (1 8 = 8 Marka)a)for the MOSFETS shown in circuit μ3 Cm = 50 μA/V2, Vm = 1 V, L = 1. μm, w = 10 μm then find the V 3 and 13 in the circuit. b) For the Differential amplifier given below, Given μnCn = 1 mA/V2, Vn

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Consider MOSFET-based current source circuits shown below. Assume that the n-type MOSFET transistors follow the long-channel model with μnCox = 100 μA/V2 and Vth,n = 0.5 V. All the transistors have a fixed channel length L = 0.25 μm. The bias voltage VB1 is at 0.8 V. Assume that all transistors have no back-bias effect. (1) (2) (a) For a basic current source in Fig. (1), size the NMOS transistor M1's width ( = W1) so that it conducts a current of 1 mA when it operates in saturation region. You may assume λn = 0. (b) What is the minimum value of Vout for this circuit that keeps M1 in saturation region? (c) For a cascode current source in Fig. (2), assume that the transistor M2 has the same width with M1 you determined from part (a). Determine the value of VB2 that yields the lowest minimum VOUT keeping both M1 and M2 in saturation regions. (d) Now, let's assume that the transistors M1 and M2 have a finite output resistance with λn = 0.1 V−1. Compute the value of the output resistance (Rout) of this cascode current source when M1 and M2 are in the saturation region. (Hint: Calculate the output impedance in a small signal equivalent circuit.)
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