Microelectronic Circuits (The Oxford Series in Electrical and Computer Engineering) 7th edition
7th Edition
ISBN: 9780199339136
Author: Adel S. Sedra, Kenneth C. Smith
Publisher: Oxford University Press
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Chapter 7, Problem D7.3P
To determine
The value of drain resistance to bias the transistor at Q -point. The coordinates of VTC end point B. The small signal voltage gain of the amplifier. The maximum allowable negative signal swing at output and corresponding value of peak input signal such that the transistor operates in linear region.
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3. Draw the small-signal model for the common-collector amplifier shown below. Derive
an expression for the small-signal voltage gain (A= vo/vi). Based on your answer for A,
can you explain why this circuit is often referred to as a emitter-follower?
RB
V₁0-ww
Vcc
-OV
R₁
Consider the circuit shown below of a common source amplifier with a current mirror bias. Find the
following:
a. Find kp and kn.
b. Find the drain current of M2 given that lBIas = 2mA and Vout = 2.5V.
c. Find the gm and ro of transistor M1.
d. Sketch the small signal model of transistor M3 (Hint: Is there any small signal in any terminal of
M3? If yes, then where is it? If no, then what happens to the small signal model?).
It is given that the NMOS (M1) parameters are H.Cox = 3mA/V² , VrH,n = 0.5V and A = 0.02 and the PMOS
(M2 and M3) parameters are H,Cox = 1mA/V² and VrH,p = -0.6V . The PMOS transistor M3 does not have
channel length modulation while PMOS transistor M2 has 1 = 0.02. It is also given that the dimensions of
M2 and M3 have equal widths of 5µm and lengths of L2 = 3µm and L3 = 1.5µm, respectively. M1 has
length of L1 = 1µm and width of W1 = 2µm.
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5V
5V
M3
M2
VOUT
IBIAS
M,
- VIN
7) Consider the multi-stage amplifier shown below with its corresponding small signal model. Using the provided small
Vo
Vin
signal model, perform small signal analysis to determine expressions the you would need to determine Av
Do NOT solve for Av, just provide the expressions that you would need to determine Av. Show your work! Do NOT
make any approximations.
Vin
+
Vgs
Vin
Vcc
Rd1
M1
gm 1 Vgs
ro1
Vo1
Vo1
Vcc
ww
ww1.
Rd1
Rc2
Q2
Re2
+
Vbe rπ2
Vo
www.
gm2 Vbe
Re2
WWW
ro2
ww
-
Vo
Rc2
Chapter 7 Solutions
Microelectronic Circuits (The Oxford Series in Electrical and Computer Engineering) 7th edition
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- 1. Assume that the source voltage for the D-MOSFET in the following figure is measured and found to be 1.6 V. a. Compute lo and Vos- b. If gm = 2000 umho, what is the voltage gain? c. Compute the input resistance of the amplifier. d. Is the D-MOSFET operating in the depletion or the enhancement mode? 100 my pp 1.0 kHz HI C₁ 0.1 µF R₁ 5.1 ΜΩ R₂ 10 ΜΩ +VDD +24 V ① RD 2.7 C3 Rs 330 Ω OV ORI C₂ 33 μFarrow_forwardConsider the circuit shown below of a common source amplifier with a current mirror bias. Find the following: a. Find kp and kn. b. Find the drain current of M2 given that IBIAS = 2mA and VouT = 2.5V. c. Find the gm and r. of transistor M1. d. Sketch the small signal model of transistor M3 (Hint: Is there any small signal in any terminal of M3? If yes, then where is it? If no, then what happens to the small signal model?). It is given that the NMOS (M1) parameters are H,Con = 3mA/V? , VTH,n = 0.5V and A = 0.02 and the PMOS (M2 and M3) parameters are µ.Cox = 1mA/V? and VTH,p = -0.6V. The PMOS transistor M3 does not have channel length modulation while PMOS transistor M2 has A = 0.02. It is also given that the dimensions of M2 and M3 have equal widths of 5µm and lengths of L2 = 3µm and L3 = 1.5µm, respectively. M1 has length of L1 = 1µm and width of W1 = 2µm. 5V 5V M3 M2 VOUT VIN M1 IBIASarrow_forwardQuestions Derive the Vps equation as a function of VGs, for the following MOSFET based amplifier. Please use current equations of MOSFET, as discussed in the class. As per class discussion, we know this circuit can be used as an AC amplifier. Please discuss how can the gain of this AC amplifier, be enhanced. Vp Iny Rp Vps VGsarrow_forward
- A C-S amplifier is operating from a single 18-V supply. The MOSFET has Kn = 1 mA/V2. What is the Q-point current required for a voltage gain of 30?arrow_forwardThe p-channel MOSFET in the circuit below has V = 1 V and k, = 2 mA/V² (A = 0). + 5 V 9 mA (. vout Q1 10 k VS -5 v a) Is this amplifier a common-source, common-drain, or common-gate configuration? b) Determine the d.c. biasing by calculating VsG and Vsp. c) What is the amplificr's gain A and output resistance Rout?arrow_forwardThe following Common Emitter (C.E.) amplifier is biased with a currentsource I. It has β = 100, VA = ∞, VT = 25mV, and rπ = 25kΩ. Draw the small signal equivalent circuit including the Hybrid-π with the βIb currentsource model. Label the input (Rin), output (Rout), and base (Rib) resistances. Find Rib, Rin, Rout, and the voltage gain (vo/vsig).arrow_forward
- What is the voltage gain for the small signall differential amplifier showed in the image. The other is grounded. rπ = 3.5kohms. ICQ = 1.5mA (in case is needed). Beta = 200. Note: for this differential amplifier there is only one input signal at the base of the transistor, the other base of the transistor is grounded.arrow_forwardThe transistor shown has VTH = -0.5 V and kp = 2 mA/V². If VDD = 5 V, determine the Gain of the amplifier when the input signal is biased at 3.6 V. You can assume the transistor to be operating in saturation mode. VI Ţ VDD 2 K www" voarrow_forwardD 7.66 A common-source amplifier uses a MOSFET oper- ated at Voy = 0.2 V. The amplifier feeds a load resistance R, = 10 kQ. The designer selects R, = 2R,. If you are required to realize an overall voltage gain G, of -10 V/V what g, do you need? Specify the bias current I,. If, to increase the output signal swing, R, is reduced to R, = R,, what does G, become? L' %3Darrow_forward
- V.. From the circuit of common source JFET amplifier shown in the figure, its has Vesum--2.0V, Ipss- 1.4mA. If you need this amplifier to be biased with In -0.7mA, Vpp- 20V, and voltage gain of 20dB, what is the value of RS, and RD? C,arrow_forwardQuestion-5: For the circuit in Fig. 4, calculate and fill in the DC bias conditions and then draw a small signal hybrid-a model for the transistor. Solve for r, To, and gm assuming Vr = 26mV. What is the small-signal voltage gain of this BJT circuit? +5V B=100 V= infinite =1mA (@VBE=0.7) 1kO Vc = 1002 V8 = VE = 2mA -5V Fig. 4: Circuit diagram from question-5arrow_forwardAn amplifier circuit is needed with an input resistance of 50Ω. Should a BJT or MOSFET be chosen for this circuit? Discuss.arrow_forward
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