W
L æ
èç ö ø÷ =æ
èç ö ø÷ =
1 2
40
The output Vo is
(A) -2.5 V (B) 2.5 V
(C) 5 V (D) 0 V
23. If the ratio is W L æ èç ö
ø÷ =
1
40 and W L æ èç ö
ø÷ =
2
15, then Vois
(A) 2.91 V (B) 2.09 V
(C) 3.41 V (D) 1.59 V
24. In the circuit of fig. P3.324. the transistor parameters are VTN = 1 V and ¢ =kn 36mA / V2. If ID= 0 5. mA, V1= V and V5 2 = V then the width to-length2 ratio required in each transistor is
W L æ èç ö
ø÷
1
W L æ èç ö
ø÷
2
W L æ èç ö
ø÷
3
(A) 1.75 6.94 27.8
(B) 4.93 10.56 50.43
(C) 35.5 22.4 8.53
(D) 56.4 38.21 12.56
25. The transistors in the circuit of fig. P3.3.25 have parameter VTN = 0 8. V, k¢ =n 40mA / V2 and l = 0. The width-to-length ratio of M2 is
( )
WL 2= . If V1 o= 0 10. V when Vi= 5 V, then( )
WL 1 for M1 is(A) 47.5 (B) 28.4
(C) 40.5 (D) 20.3
Statement for Q.26–27:
All transistors in the circuit in fig. P3.3.26–27 have parameter VTN = 1 V and l = 0.
The conduction parameter are as follows:
Kn1 =400mA / V2 Kn 2 =200mA / V2 Kn 3=100mA / V2 Kn 4 =80mA / V2 26. ID1 = ?
(A) 0.23 mA (B) 0.62 mA
(C) 0.46 mA (D) 0.31 mA
27. ID4 = ?
(A) 0.62 mA (B) 0.31 mA
(C) 0.46 mA (D) 0.92 mA
UNIT 3 Analog Electronics
M1
V1
V2
+5 V
M2
M3
Fig. P3.3.24 M1
Vo +5 V
M2
Fig. P3.3.22-23
M1 Vo Vi
+5 V
M2
Fig. P3.3.25
+5 V
M1
ID1
ID4
-5 V
RD
RG
M4
M3
M2
Fig. P3.3.26–27 GATE EC BY RK Kanodia
28. For the circuit in fig. P3.3.28 the transistor parameter are VTN = 0 8. V andk¢ =n 30mA / V2. If output voltage is Vo= 0 1. V, when input voltage is Vi= 4 2. V, the required transistor width-to length ratio is
(A) 1.568 (B) 0.986
(C) 0.731 (D) 1.843
29. For the transistor in fig. P3.3.29 parameters are VTN = 1 V and Kn = 12 5. mA / V2. The Q-point (ID,VDS) is
(A) (1 mA, 8 V) (B) (0.2 mA, 4 V) (C) (1.17 mA, 8 V) (D) (0.23 mA, 3.1V) 30.For an n-channel JFET, the parameters are IDSS = 6 mA and VP = -3 V. If VDS>VDS sat( ) and VGS = -2 V, then ID is
(A) 16.67 mA (B) 0.67 mA
(C) 5.55 mA (D) 1.67 mA
31. For the circuit in fig. P3.3.32 the transistor parameters are Vp= - 35. V, IDSS = 18 mA, and l = 0. The value of VDS is
(A) 7.43 V (B) 8.6 V
(C) -1.17 V (D) 1.17 V
32. A p-channel JFET biased in the saturation region with VSD= 5 V has a drain current of ID= 2 8. mA, and ID= 0 3. mA at VGS = 3 V. The value of IDSS is
(A) 10 mA (B) 5 mA
(C) 7 mA (D) 2 mA
Statement for Q.33–34:
For the p-channel transistor in the circuit of fig.
P3.3.33–34 the parameters are IDSS = 6 mA, VP = 4 V and l = 0.
33. The value of IDQ is
(A) 8.86 mA (B) 6.39 mA
(C) 4.32 mA (D) 1.81 mA
34. The value of VSD is
(A) -4.28 V (B) 2.47 V
(C) 4.28 V (D) 2.19 V
35. The transistor in the circuit of fig. P3.3.35 has parameters IDSS = 8 mA and VP= -4 V. The value of VDSQ
is
(A) 2.7 V (B) 2.85 V
(C) -1.30 V (D) 1.30 V
******************
Chap 3.3 Basic FET Circuits
20 kW
10 kW +10 V
Fig. P3.3.29.
+15 V
-15 V IQ= 8 mA 0.8 kW
Fig. P3.3.32
1 kW
0.4 kW
-5 V Fig. P3.3.33–34 10 kW
+5 V
Vo Vi
Fig. P3.3.28
+20 V
140 kW 2.7 kW
60 kW 2 kW
Fig. P3.3.35 GATE EC BY RK Kanodia
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SOLUTIONS
Assume that transistor in saturation regionI V Assume transistor in saturation
I V Assume transistor in saturation
I V 10. (C) Assume transistor in saturation.
ID= 0 4. mA, 0 4. =K VP( GS +VTP)2 Assume transistor in saturation.
I V
VGS is positive. Thus (D) is correct option.
13. (D) I V
= 2 52. mA, Therefore (D) is correct option.
14. (B) 5=I RD( S+ RD)+VDS -5
UNIT 3 GATE EC BY RK Kanodia Analog Electronics
VGS= 152. V, VGS =VDS 21. (B) Assume transistor in saturation
I V
VDS>VGS -VTN Therefore both transistor are in saturation.
24. (A) Each transistor is biased in saturation because VDS =VGS and VDS >VGS-VTN
25. (D) M2 is in saturation because VGS2=VDS2>VGS2-VTN
M1 is in non saturation because VGS1 =Vi= V, V5 DS1=VD= V0
Basic FET Circuits GATE EC BY RK Kanodia
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1. If the transistor parameter are b = 180 and Early voltage VA= 140 V and it is biased at ICQ = 2 mA, the values of hybrid-p parameter gm, rp and ro are respectively
(A) 14 A V, 2.33 kW, 90 kW (B) 14 A V, 90 kW , 2.33 kW (C) 77 mA V, 2.33 kW , 70 kW (D) 77.2 A V, 70 kW, 2.33 kW
Statement for Q.2–3.
Consider the circuit of fig. P3.4.2–3. The transistor parameters areb = 120 and VA= ¥.
2. The hybrid-p parameter values of gm ,rpand ro are (A) 24 mA V, ¥, 5 kW
(B) 24 mA V, 5 kW , ¥
(C) 48 mA V, 10 kW , 18.4 kW (D) 48 mA V, 18.4 kW, 10 kW
3. The small signal votlage gain Av=v vo s is
(A) -4.38 (B) 4.38
(C) -1.88 (D) 1.88
4. The nominal quiescent collector current of a transistor is 1.2 mA. If the range ofb for this transistor is 80£ £b 120 and if the quiescent collector current changes by ±10 percent, the range in value for rp is (A) 1.73 kW < <rp 2 59. kW
(B) 1.93 kW < <rp 2 59. kW (C) 1.73 kW < <rp 2 59. kW (D) 1.56 kW < <rp 2.88 kW
Statement for Q.5–6:
Consider the circuit in fig. P3.4.5.6. The transistor parameter areb = 100 and VA= ¥.
5.If Q-point is in the center of the load line and ICQ = 0 5. mA, the values of VBB and RC are
(A) 10 kW , 0.95 V (B) 10 kW , 1.45 V (C) 48 kW , 0.95 V (D) 48 kW , 1.45 V
CHAPTER
3.4
AMPLIFIERS
vs
2 V
vo 250 kW
+5 V
4 kW
~
Fig. P3.4.2–3
vs
vBB
RC
50 kW +10 V
~
Fig. P3.4.5–6 GATE EC BY RK Kanodia
Statement for Q.14–15:
Consider the common Base amplifier shown in fig.
P3.4.14–15. The parameters are gm = 2 mS and ro= 250 kW. Find the Thevenin equivalent faced by load resistance RL .
14. The Thevenin voltage vTH is
(A) 263vi (B) 132vi
(C) 346vi (D) 498vi
15. The Thevenin equivalent resistance RTH is
(A) 384 kW (B) 697 kW
(C) 408 kW (D) 915 kW
Statement for Q.16–17:
The common-base amplifier is drawn as a two-port in fig. P3.4.16–17. The parameters are b = 100, gm = 3 mS, and ro= 800 kW.
16. The h-parameter h21 is
(A) 2.46 (B) 0.9
(C) 0.5 (D) 0.67
17. The h-parameter h12 is
(A) 3.8´10-4 (B) 4.83´10-3 (C) 3.8´104 (D) 4.83´103
18.For an n-channel MOSFET biased in the saturation region, the parameters are Kn = 0 5. mA V2, VTN = 0 8. V andl =0 01. V , and I-1 DQ= 0 75. mA. The value of gm and ro are
(A) 0.68 mS, 603 kW (B) 1.22 mS, 603 kW (C) 1.22 mS, 133 kW (D) 0.68 mS, 133 kW
19.For an n-channel MOSFET biased in the saturation region, the parameters are VTN = 1 V,12mnC =ox 18mA V2 andl =0 015. V-1 and IDQ= 2 mA. If transconductance is gm = 3 4. mA V, the width-to-length ratio is
(A) 80.6 (B) 43.2
(C) 190 (D) 110
20. In the circuit of fig. P3.4.20, the parameters are gm = 1mA / V, ro= 50 kW. The gain Av=v vo s is
(A) -8.01 (B) 8.01
(C) 14.16 (D)-14.16
Statement for Q.21–23:
For the circuit shown in fig. P3.4.21–23 transistor parameters are VTN = 2 V, Kn = 0 5. mA / V2 and l = 0.
The transistor is in saturation.
21. If IDQ is to be 0.4 mA, the value of VGSQ is
(A) 5.14 V (B) 4.36 V
(C) 2.89 V (D) 1.83 V
22. The values of gm and ro are
(A) 0.89 mS, ¥ (B) 0.89 mS, 0 (C) 1.48 mS, 0 (D) 1.48 mS, ¥ 23. The small signal voltage gain Av is
(A) 14.3 (B) -14.3
(C) -8.9 (D) 8.9
Chap 3.4 Amplifiers
i2
v2
v1
+ +
_ _ i1
3.9 kW 18 kW
Fig. P3.4.16–17 vi
270W
Thevenin equivalent
RL
~
Fig. P3.4.14–15
VDD
2 kW vs
60 kW 10 kW
300 kW
~
Fig. P3.4.20
vo
vi
VGG
10 kW +10 V
~
Fig. P3.4.21–23 GATE EC BY RK Kanodia
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(A) 4.44 (B) -4.44
(C) 2.22 (D) -2.22
Statement for Q.33–34:
Consider the source-follower circuit in fig.
P3.4.33-34. The values of parameter are gm = 2 mS and ro= 100 kW.
33. The voltage gain Av is
(A) 0.89 (B) -0.89
(C) 2.79 (D) -2.79
34. The output resistance Ro is
(A) 100 kW (B) 0.498 kW
GATE EC BY RK Kanodia
The small-signal equivalent circuit is as shown in fig.
11. (B) Since the B–C junction is not reverse biased, the transistor continues to operate in the forward-active -mode
UNIT 3 Analog Electronics
vs
GATE EC BY RK Kanodia
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12. (C) r V
14. (D) The equivalent circuit is shown below
Removing the RL , - =
15. (A) The equivalent small-signal circuit is shown in fig. S3.4.15
16. (B) The equivalent small-signal circuit is shown in fig. S3.4.16
p can be neglected
h i GATE EC BY RK Kanodia
RS = 4 kW, vgs = 0 84. vi , 30. (C) From the DC analysis:
VGSQ= 15. V, IDQ= 0 5. mA
gm =2K Vn( GS -VTN) =2 1( m) ( .15-0 8. )=1 4. mA V ro=[lIDQ]-1= ¥
The resulting small-signal equivalent circuit is shown in fig. S5.4.30
vo= -g v Rm gs D, vi=vgs+ g v Rm gs S
The transistor is therefore biased in the saturation region. The small-signal equivalent circuit is shown in fig.S3.4.31.
32. (A) The small-signal equivalent circuit is shown in fig. S.3.4.34
33. (A) The small-signal equivalent circuit is shown in fig. S3.4.33 GATE EC BY RK Kanodia
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1. A v
v vo i
= = ?
(A) -10 (B) 10
(C) -11 (D) 11
2. A v
v vo i
= = ?
(A) -10 (B) 10
(C) 13.46 (D) -13.46
3. The input to the circuit in fig. P3.5.3 is vi= 2 sin w mV. The current it o is
(A) -2 sin wt m A (B) -7 sin wt m A (C) -5 sin wt m A (D) 0
4.In circuit shown in fig. P3.5.4, the input voltage vi is 0.2 V. The output voltage vo is
(A) 6 V (B) -6 V
(C) 8 V (D) -8 V
5. For the circuit shown in fig. P3.5.5 gain is Av=v vo i= -10. The value of R is
(A) 600 kW (B) 450 kW
(C) 4.5 MW (D) 6 MW