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Microelectronic Circuit Design exercise

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Theo tên chương và bài tập của sách giáo trình:
Richard C. Jaeger, Travis N. Blalock, “Microelectronic Circuit Design”, 4th
Edition, McGraw-Hill Companies, Inc, 2011.
CHAPTER 3: SOLID-STATE DIODES AND DIODE CIRCUITS
Problem 1: A diode has IS = 10−17 A and n = 1.07.
(a) What is the diode voltage if the diode current is 70 A?
(b) What is the diode voltage if the diode current is 5 A?
(c) What is the diode current for vD = 0 V?
(d) What is the diode current for vD = −0.075 V?
(e) What is the diode current for vD = −5 V?
Problem 2: A diode has IS = 10−18 A and n = 1.
(a) What is the diode voltage if the diode current is 100 A?
(b) What is the diode voltage if the diode current is 10 A?
(c) What is the diode current for vD = 0 V?
(d) What is the diode current for vD = −0.06 V?
(e) What is the diode current for vD = −4 V?
Problem 3: A diode has IS = 10−16 A and n = 1.
(a) What is the diode current if the diode voltage is 0.675 V?
(b) What will be the diode voltage if the current increases by a factor of 3?
Problem 4: A diode has IS = 10−10 A and n = 2.
(a) What is the diode voltage if the diode current is 40 A?
(b) What is the diode voltage if the diode current is 100 A?
Problem 5: A diode is operating with iD = 300 A and vD = 0.75 V.
(a) What is IS if n = 1?
(b) What is the diode current for vD = −3 V?
Problem 6: A diode is operating with iD = 2 mA and vD = 0.82 V.
(a) What is IS if n = 1?
(b) What is the diode current for vD = −5 V?
Problem 7: The saturation current for diodes with the same part number may vary
widely. Suppose it is known that 10−14 A ≤ IS ≤ 10−12 A. What is the range of forward
voltages that may be exhibited by the diode if it is biased with iD = 1 mA?
Problem 8: A diode is biased by a 0.9-V dc source, and its current is found to be 100
A at T = 315 K. (a) At what temperature will the current double? (b) At what
temperature will the current be 50 A?
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CHAPTER 5: BIPOLAR JUNCTION TRANSISTORS
Problem 1: (a) Label the collector, base, and emitter terminals of the transistor in the
circuit in Fig. P5.2.
(b) Label the base-emitter and base-collector voltages, VBE and VBC , respectively.
(c) If V = 0.650 V, IC = 275 A, and IB = 3 A, find the values of IS , βF , and βR for the
transistor if αR = 0.55.
Problem 2: (a) Label the collector, base, and emitter terminals of the transistor in the
circuit in Fig. P5.3.
(b) Label the base-emitter and base-collector voltages, VBE and VBC , and the positive
directions of the collector, base, and emitter currents.
(c) If V = 0.615 V, IE = −275 A, and IB = 125 A, find the values of IS , βF , and βR for
the transistor if αF = 0.975.
Problem 3: Fill in the missing entries in Table 5.P1.
Problem 4: (a) Find the current ICBS in Fig. P5.5(a). (Use the parameters specified at
the beginning of the problem set.)
(b) Find the current ICBO and the voltage VBE in Fig. P5.5(b).
Problem 5: For the transistor in Fig. P5.6, IS = 5 × 10−16 A, βF = 100, and βR = 0.25.
(a) Label the collector, base, and emitter terminals of the transistor.
(b) What is the transistor type?
(c) Label the base- emitter and base-collector voltages, VBE and VBC , respectively, and
label the normal directions for IE , IC , and IB.
(d) What is the relationship between VBE and VBC ?
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(e) Write the simplified form of the transport model equations that apply to this
particular circuit configuration. Write an expression for IE /IB . Write an expression for
IE /IC.
(f) Find the values of IE, IC, IB, VBC, and VBE.
Problem 6: For the transistor in Fig. P5.7, IS = 4 × 10−16 A, βF = 100, and βR = 0.25.
(a) Label the collector, base, and emitter terminals of the transistor.
(b) What is the transistor type?
(c) Label the base- emitter and base-collector voltages, VBE and VBC , respectively, and
label the normal directions for IE , IC , and IB.
(d) Find the values of IE, IC, IB, VBC, and VBE if I = 175 A.
Problem 7: For the transistor in Fig. P5.8, IS = 4 × 10−16 A, βF = 100, and βR = 0.25.
(a) Label the collector, base, and emitter terminals of the transistor.
(b) What is the transistor type?
(c) Label the base- emitter and base-collector voltages, VBE and VBC , respectively, and
label the normal directions for IE , IC , and IB.
(d) Find the values of IE, IC, IB, VBC, and VBE if I = 175 A.
Problem 8: The npn transistor is connected in a “diode” configuration in Fig. P5.9(a).
Use the transport model equations to show that the i-v characteristics of this connection
are similar to those of a diode as defined by Eq. (3.11). What is the reverse saturation
current of this “diode” if IS = 4 × 10−15 A, βF = 100, and βR = 0.25?
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Problem 9: (a) Label the collector, base and, emitter terminals of the transistor in the
circuit in Fig. P5.14(b).
(b) Label the emitter-base and collector-base volt- ages, VEB and VCB , and the normal
directions for IE, IC, and IB.
(c) If V = 0.640 V, IC = 300 A, and IB = 4 A, find the values of IS , βF , and βR for the
transistor if αR = 0.2.
Problem 10: Repeat Prob. 8 for the “diode-connected” pnp transistor in Fig. P5.9(c).
Problem 11: What are the values of βF and IS for the transistor in Fig. P5.48?
Problem 12: What are the values of βF and IS for the transistor in Fig. P5.49?
Problem 13: (a) Find the Q-point for the circuit in Fig. 5.83(a) if the 33-k resistor is
replaced with a 22-k resistor. Assume that βF = 75.
Problem 14: (a) Find the Q-point for the circuit in Fig. P5.83(b). Assume βF = 50 and
VBE = 0.7 V.
(b) Repeat if all the resistor values are decreased by a factor of 5.
(c) Repeat if all the resistor values are increased by a factor of 5.
(d) Find the Q-point in part (a) using the numerical iteration method if IS = 0.4 fA and
VT = 25.8 mV.
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CHAPTER 13: SMALL-SIGNAL MODELING AND LINEAR
AMPLIFICATION
Problem 1: Draw the dc equivalent circuit and find the Q-point for the amplifier in Fig.
P13.10. Assume βF = 75, VCC = 10 V, −VE E = −10 V, RI = 1 k, R1 = 5 k, R2 = 10
k, R3 = 24 k, RE = 4 k, and RC = 6 k.
Problem 2: Draw the dc equivalent circuit and find the Q-point for the amplifier in Fig.
P13.13. Assume VDD = 17.5 V, Kn = 225 µA/V2, VTN = −3 V, RG = 2.2 M, RD = 8.2
k, RI = 10 k, and R3 = 220 k.
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Problem 3: Draw the dc equivalent circuit and find the Q-point for the amplifier in Fig.
P13.6. Assume βF = 65, VCC = 5 V, −VEE = −5 V, RI = 0.47 k, RB = 3 k, RC = 33 k,
RE = 68 k, and R3 = 120 k.
Problem 4: Draw the dc equivalent circuit and find the Q-point for the amplifier in Fig.
P13.7. Assume βF = 135 and VCC = 10 V, R1 = 20 k, R2 = 62 k, RC = 13 k, and
RE = 3.9 k.
Problem 5: Draw the dc equivalent circuit and find the Q- point for the amplifier in Fig.
P13.5. Assume Kn = 250 A/V2 , VTN = 1 V, VDD = 16 V, RI = 1 k, R1 = 1 M, R2 =
2.7 M, RD = 82 k, and R4 = 27 k.
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Problem 6: Draw the dc equivalent circuit and find the Q- point for the amplifier in Fig.
P13.9. Assume Kn = 500 A/V2 , VTN = −2 V, VDD = 18 V, RI = 1 k, R1 = 3.9 k, RD
= 4.3 k, and R3 = 51 k.
Problem 7: Draw the dc equivalent circuit and find the Q-point for the amplifier in Fig.
P13.8. Assume Kp = 400 A/V2 , VTP = −1 V, VDD = 15 V, R1 = 3.3 M, R2 = 3.3 M,
RD = 24 k, and R4 = 22 k.
Problem 8: Draw the dc equivalent circuit and find the Q-point for the amplifier in Fig.
P13.11. Assume βF = 100, VCC = 9 V, −VEE = −9 V, RI = 1 k, R1 = 43 k, R2 = 43 k,
R3 = 24 k, and RE = 82 k.
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CHAPTER 14: SINGLE-TRANSISTOR AMPLIFIERS
Problem 1: Draw the ac equivalent circuits for, and classify (that is, as C-S, C-G, C-D,
C-E, C-B, C-C, and not useful), the amplifiers in Figs. P14.1 (a) to (q).
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Problem 2: An npn transistor is biased by the circuit in Fig. P14.2. Using the external
source and load con- figurations in the figure, add coupling and bypass capacitors to the
circuit to turn the amplifier into a common-emitter amplifier with maximum gain.
Problem 3: A pnp transistor is biased by the circuit in Fig. P14.5. Using the external
source and load configurations in the figure, add coupling and bypass capacitors to the
circuit to construct a common-drain amplifier.
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Problem 4: (a) What are the values of Av , Rin , Rout , and Ai = io /ii for the commonemitter stage in Fig. P14.14 if gm = 20 mS, βo = 75, ro = 100 k, RI = 500 , RB = 15
k, RL = 12 k, and RE = 300 ? (b) What are the values if RE is changed to 620 ?
Problem 5: (a) What are the values of Av , Rin , Rout , and Ai = io /ii for the commonsource stage in Fig. P14.15 if RG = 2 M, RI = 75 k, RL = 2 k, and RS = 330 ?
Assume gm = 5 mS and ro = 10 k. (b) What are the values of Av , Rin , Rout , and Ai if
RS is bypassed by a capacitor?
Problem 6: What are the values of Av , Rin , Rout , and Ai for the common-collector stage
in Fig. P14.27 if RI = 10 k, RB = 47 k, RL = 1 k, βo = 80, and gm = 0.5 S? (Ai = io
/ii ).
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Problem 7: What are the values of Av , Rin , Rout , and Ai for the common-drain stage in
Fig. P14.28 if RG = 2 M, RI = 100 k, RL = 2 k, and gm = 8 mS? (Ai = io /ii ).
Problem 8: What are the values of Av , Rin , Rout , and Ai for the common-base stage in
Fig. P14.37 operating with IC = 25 A, βo = 100, VA = 60 V, RI = 50 , R4 = 100 k
and RL = 200 k? (b) What are the values if RI is changed to 2.2 k? (Ai = io/ii ).
Problem 9: What are the values of Av , Rin , Rout , and Ai for the common-gate stage in
Fig. P14.38 operating with gm = 0.5 mS, RI = 50 , R4 = 3 k and RL = 82 k? (b)
What are the values if RI is changed to 5 k? (Ai = io/ii ).
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Problem 10: Figure P14.114 is an “improved” version of the three-stage amplifier
discussed in Sec. 14.9. Find the gain and input signal range for this amplifier. Was the
performance actually improved?
Problem 11: Figure P14.118 shows another “improved” design of the three-stage
amplifier discussed in Sec. 14.9. Find the gain and input signal range for this amplifier.
Was the performance improved?
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CHAPTER 15: DIFFERENTIAL AMPLIFIERS AND
OPERATIONAL AMPLIFIER DESIGN
Problem 1: (a) What are the Q-points for the transistors in the amplifier in Fig. P15.1
if VCC = 15 V, VEE = 15 V, REE = 270 k, RC = 330 k, and βF = 100?
(b) What are the differential-mode gain, and differential-mode input and output
resistances? (c) What are the common-mode gain, CMRR, and common-mode input
resistance for a single-ended output?
Problem 2: (a) What are the Q-points for the transistors in the amplifier in Fig. P15.1
if VCC = 1.5 V, VEE = 1.5 V, βF = 60, REE = 75 k, and RC = 100 k?
(b) What are the differential-mode gain, common-mode gain, CMRR, and differentialmode and common-mode input and output resistances?
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Problem 3: (a) What are the Q-points for the transistors in the amplifier in Fig. P15.8
if VCC = 12 V, VEE = 12 V, IEE = 400 A, REE = 270 k, RC = 47 k, VA = ∞ and βF =
100?
(b) What are the differential-mode gain, common-mode gain, CMRR, and differentialmode and common-mode input and output resistances?
(c) Repeat part (b) for VA = 50 V.
Problem 4: (a) What are the Q-points for the transistors in the amplifier in Fig. P15.24
if VDD = 15 V, VSS = 15 V, RSS = 62 k, and RD = 62 k? Assume Kn = 400 A/V2
and VTN = 1 V. (b) What are the differential-mode gain, common-mode gain, CMRR,
and differential-mode and common-mode input resistances?
Problem 5: (a) What are the Q-points for the transistors in the amplifier in Fig. P15.31
if VDD = 15 V, VSS = 15 V, ISS = 300 A, RSS = 160 k, and RD = 75 k?
Assume Kn = 400 A/V2 and VTN = 1 V.
(b) What are the differential-mode gain, common- mode gain, CMRR, and differentialmode and common-mode input resistances?
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Problem 6: An amplifier using Opamp as follows,
R4
R3
R1
vin1
vN
vP
vout
R2
vin2
Find vout versus vin1, vin2.
Problem 7: An amplifier using Opamp as follows,
R3
R1
R2
vin
Ri
Vout
a. Find Av=vout/vin
b. Given data Ri = R1 = R3 = 10k, R2 = 100. Find Av.
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Problem 8: An amplifier using Opamp as follows,
RN
R1
vin1
R2
vin2
R3
vin3
vout
vN
vP
vin4
R4
RP
Given data: R1 = 2k, R2 = 6k, R3 = 2k, R4 = 4k, RN = 12k, RP = 4k.
Find: vout = f(vin1, vin2, vin3, vin4).
Problem 9: An amplifier using Opamp as follows,
RN
R1
vin1
vin2
vin3
R2
vout
R3
RP
a. Find vout.
b.Find relation between R1, R2, R3, RN, RP so that: Vout = -2vin1 - 4vin2 + 6vin3
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