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Bipolar Junction Transistors (BJTs) 1.

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Presentation on theme: "Bipolar Junction Transistors (BJTs) 1."— Presentation transcript:

1 Bipolar Junction Transistors (BJTs) 1

2 The base is a narrow region
Figure 5.1 A simplified structure of the npn transistor. Microelectronic Circuits - Fifth Edition Sedra/Smith

3 Same here Figure 5.2 A simplified structure of the pnp transistor.
Microelectronic Circuits - Fifth Edition Sedra/Smith

4 sedr42021_0503.jpg Figure 5.3 Current flow in an npn transistor biased to operate in the active mode. (Reverse current components due to drift of thermally generated minority carriers are not shown.) Microelectronic Circuits - Fifth Edition Sedra/Smith

5 sedr42021_0504.jpg Figure 5.4 Profiles of minority-carrier concentrations in the base and in the emitter of an npn transistor operating in the active mode: vBE > 0 and vCB ³ 0. Microelectronic Circuits - Fifth Edition Sedra/Smith

6 sedr42021_0505a.jpg Figure 5.5 Large-signal equivalent-circuit models of the npn BJT operating in the forward active mode. Microelectronic Circuits - Fifth Edition Sedra/Smith

7 The real physical configuration
Created by a sequence of diffusion steps Figure 5.6 Cross-section of an npn BJT. Microelectronic Circuits - Fifth Edition Sedra/Smith

8 sedr42021_0507.jpg Figure 5.7 Model for the npn transistor when operated in the reverse active mode (i.e., with the CBJ forward biased and the EBJ reverse biased). Microelectronic Circuits - Fifth Edition Sedra/Smith

9 sedr42021_0508.jpg Figure 5.8 The Ebers-Moll (EM) model of the npn transistor. Microelectronic Circuits - Fifth Edition Sedra/Smith

10 sedr42021_0509.jpg Figure The iC –vCB characteristic of an npn transistor fed with a constant emitter current IE. The transistor enters the saturation mode of operation for vCB < –0.4 V, and the collector current diminishes. Microelectronic Circuits - Fifth Edition Sedra/Smith

11 sedr42021_0510.jpg Figure Concentration profile of the minority carriers (electrons) in the base of an npn transistor operating in the saturation mode. Microelectronic Circuits - Fifth Edition Sedra/Smith

12 sedr42021_0511.jpg Figure Current flow in a pnp transistor biased to operate in the active mode. Microelectronic Circuits - Fifth Edition Sedra/Smith

13 sedr42021_0512.jpg Figure Large-signal model for the pnp transistor operating in the active mode. Microelectronic Circuits - Fifth Edition Sedra/Smith

14 The arrow is in the direction of current flow
Figure Circuit symbols for BJTs. Microelectronic Circuits - Fifth Edition Sedra/Smith

15 sedr42021_0514a.jpg Figure Voltage polarities and current flow in transistors biased in the active mode. Microelectronic Circuits - Fifth Edition Sedra/Smith

16 sedr42021_0515a.jpg Figure 5.15 Circuit for Example 5.1.
Microelectronic Circuits - Fifth Edition Sedra/Smith

17 sedr42021_e0510.jpg Figure E5.10 Microelectronic Circuits - Fifth Edition Sedra/Smith

18 sedr42021_e0511.jpg Figure E5.11 Microelectronic Circuits - Fifth Edition Sedra/Smith

19 sedr42021_0516.jpg Figure The iC –vBE characteristic for an npn transistor. Microelectronic Circuits - Fifth Edition Sedra/Smith

20 sedr42021_0517.jpg Figure Effect of temperature on the iC–vBE characteristic. At a constant emitter current (broken line), vBE changes by –2 mV/°C. Microelectronic Circuits - Fifth Edition Sedra/Smith

21 This is a current controlled current source in the active region
Figure The iC–vCB characteristics of an npn transistor. Microelectronic Circuits - Fifth Edition Sedra/Smith

22 sedr42021_0519.jpg Figure (a) Conceptual circuit for measuring the iC –vCE characteristics of the BJT. (b) The iC –vCE characteristics of a practical BJT. Microelectronic Circuits - Fifth Edition Sedra/Smith

23 sedr42021_0520a.jpg Figure Large-signal equivalent-circuit models of an npn BJT operating in the active mode in the common-emitter configuration. Microelectronic Circuits - Fifth Edition Sedra/Smith

24 sedr42021_0521.jpg Figure Common-emitter characteristics. Note that the horizontal scale is expanded around the origin to show the saturation region in some detail. Microelectronic Circuits - Fifth Edition Sedra/Smith

25 sedr42021_0522.jpg Figure Typical dependence of b on IC and on temperature in a modern integrated-circuit npn silicon transistor intended for operation around 1 mA. Microelectronic Circuits - Fifth Edition Sedra/Smith

26 sedr42021_0523.jpg Figure An expanded view of the common-emitter characteristics in the saturation region. Microelectronic Circuits - Fifth Edition Sedra/Smith

27 sedr42021_0524a.jpg Figure (a) An npn transistor operated in saturation mode with a constant base current IB. (b) The iC–vCE characteristic curve corresponding to iB = IB. The curve can be approximated by a straight line of slope 1/RCEsat. (c) Equivalent-circuit representation of the saturated transistor. (d) A simplified equivalent-circuit model of the saturated transistor. Microelectronic Circuits - Fifth Edition Sedra/Smith

28 sedr42021_0525.jpg Figure Plot of the normalized iC versus vCE for an npn transistor with bF = 100 and aR = 0.1. This is a plot of Eq. (5.47), which is derived using the Ebers-Moll model. Microelectronic Circuits - Fifth Edition Sedra/Smith

29 sedr42021_e0518.jpg Figure E5.18 Microelectronic Circuits - Fifth Edition Sedra/Smith

30 sedr42021_tb0503a.jpg Table 5.3 Microelectronic Circuits - Fifth Edition Sedra/Smith

31 sedr42021_tb0503h.jpg Table 5.3 (Continued)
Microelectronic Circuits - Fifth Edition Sedra/Smith

32 sedr42021_0526a.jpg Figure (a) Basic common-emitter amplifier circuit. (b) Transfer characteristic of the circuit in (a). The amplifier is biased at a point Q, and a small voltage signal vi is superimposed on the dc bias voltage VBE. The resulting output signal vo appears superimposed on the dc collector voltage VCE. The amplitude of vo is larger than that of vi by the voltage gain Av. Microelectronic Circuits - Fifth Edition Sedra/Smith

33 sedr42021_0527.jpg Figure Circuit whose operation is to be analyzed graphically. Microelectronic Circuits - Fifth Edition Sedra/Smith

34 sedr42021_0528.jpg Figure Graphical construction for the determination of the dc base current in the circuit of Fig Microelectronic Circuits - Fifth Edition Sedra/Smith

35 sedr42021_0529.jpg Figure Graphical construction for determining the dc collector current IC and the collector-to-emitter voltage VCE in the circuit of Fig Microelectronic Circuits - Fifth Edition Sedra/Smith

36 sedr42021_0530a.jpg Figure Graphical determination of the signal components vbe, ib, ic, and vce when a signal component vi is superimposed on the dc voltage VBB (see Fig. 5.27). Microelectronic Circuits - Fifth Edition Sedra/Smith

37 sedr42021_0531.jpg Figure Effect of bias-point location on allowable signal swing: Load-line A results in bias point QA with a corresponding VCE which is too close to VCC and thus limits the positive swing of vCE. At the other extreme, load-line B results in an operating point too close to the saturation region, thus limiting the negative swing of vCE. Microelectronic Circuits - Fifth Edition Sedra/Smith

38 sedr42021_0532.jpg Figure A simple circuit used to illustrate the different modes of operation of the BJT. Microelectronic Circuits - Fifth Edition Sedra/Smith

39 sedr42021_0533.jpg Figure 5.33 Circuit for Example 5.3.
Microelectronic Circuits - Fifth Edition Sedra/Smith

40 For high  I often ignore the base current in a quick calculation.
Figure Analysis of the circuit for Example 5.4: (a) circuit; (b) circuit redrawn to remind the reader of the convention used in this book to show connections to the power supply; (c) analysis with the steps numbered. Microelectronic Circuits - Fifth Edition Sedra/Smith

41 sedr42021_0535a.jpg Figure Analysis of the circuit for Example 5.5. Note that the circled numbers indicate the order of the analysis steps. Microelectronic Circuits - Fifth Edition Sedra/Smith

42 sedr42021_0536a.jpg Figure Example 5.6: (a) circuit; (b) analysis with the order of the analysis steps indicated by circled numbers. Microelectronic Circuits - Fifth Edition Sedra/Smith

43 sedr42021_0537a.jpg Figure Example 5.7: (a) circuit; (b) analysis with the steps indicated by circled numbers. Microelectronic Circuits - Fifth Edition Sedra/Smith

44 sedr42021_0538a.jpg Figure Example 5.8: (a) circuit; (b) analysis with the steps indicated by the circled numbers. Microelectronic Circuits - Fifth Edition Sedra/Smith

45 sedr42021_0539a.jpg Figure Example 5.9: (a) circuit; (b) analysis with steps numbered. Microelectronic Circuits - Fifth Edition Sedra/Smith

46 sedr42021_0540a.jpg Figure 5.40 Circuits for Example 5.10.
Microelectronic Circuits - Fifth Edition Sedra/Smith

47 sedr42021_0541a.jpg Figure 5.41 Circuits for Example 5.11.
Microelectronic Circuits - Fifth Edition Sedra/Smith

48 sedr42021_e0530.jpg Figure E5.30 Microelectronic Circuits - Fifth Edition Sedra/Smith

49 sedr42021_0542a.jpg Figure Example 5.12: (a) circuit; (b) analysis with the steps numbered. Microelectronic Circuits - Fifth Edition Sedra/Smith

50 sedr42021_0543a.jpg Figure Two obvious schemes for biasing the BJT: (a) by fixing VBE; (b) by fixing IB. Both result in wide variations in IC and hence in VCE and therefore are considered to be “bad.” Neither scheme is recommended. Microelectronic Circuits - Fifth Edition Sedra/Smith

51 A stable biasing method (bypass the emitter resistor with a capacitor to get high AC gain)
Figure Classical biasing for BJTs using a single power supply: (a) circuit; (b) circuit with the voltage divider supplying the base replaced with its Thévenin equivalent. Microelectronic Circuits - Fifth Edition Sedra/Smith

52 sedr42021_0545.jpg Figure Biasing the BJT using two power supplies. Resistor RB is needed only if the signal is to be capacitively coupled to the base. Otherwise, the base can be connected directly to ground, or to a grounded signal source, resulting in almost total b-independence of the bias current. Microelectronic Circuits - Fifth Edition Sedra/Smith

53 sedr42021_0546a.jpg Figure (a) A common-emitter transistor amplifier biased by a feedback resistor RB. (b) Analysis of the circuit in (a). Microelectronic Circuits - Fifth Edition Sedra/Smith

54 Current mirroring again – often used in IC’s
Figure (a) A BJT biased using a constant-current source I. (b) Circuit for implementing the current source I. Microelectronic Circuits - Fifth Edition Sedra/Smith

55 sedr42021_0548a.jpg Figure (a) Conceptual circuit to illustrate the operation of the transistor as an amplifier. (b) The circuit of (a) with the signal source vbe eliminated for dc (bias) analysis. Microelectronic Circuits - Fifth Edition Sedra/Smith

56 sedr42021_0549.jpg Figure Linear operation of the transistor under the small-signal condition: A small signal vbe with a triangular waveform is superimposed on the dc voltage VBE. It gives rise to a collector signal current ic, also of triangular waveform, superimposed on the dc current IC. Here, ic = gmvbe, where gm is the slope of the iC–vBE curve at the bias point Q. Microelectronic Circuits - Fifth Edition Sedra/Smith

57 sedr42021_0550.jpg Figure The amplifier circuit of Fig. 5.48(a) with the dc sources (VBE and VCC) eliminated (short circuited). Thus only the signal components are present. Note that this is a representation of the signal operation of the BJT and not an actual amplifier circuit. Microelectronic Circuits - Fifth Edition Sedra/Smith

58 sedr42021_0551a.jpg Figure Two slightly different versions of the simplified hybrid-p model for the small-signal operation of the BJT. The equivalent circuit in (a) represents the BJT as a voltage-controlled current source (a transconductance amplifier), and that in (b) represents the BJT as a current-controlled current source (a current amplifier). Microelectronic Circuits - Fifth Edition Sedra/Smith

59 sedr42021_0552a.jpg Figure Two slightly different versions of what is known as the T model of the BJT. The circuit in (a) is a voltage-controlled current source representation and that in (b) is a current-controlled current source representation. These models explicitly show the emitter resistance re rather than the base resistance rp featured in the hybrid-p model. Microelectronic Circuits - Fifth Edition Sedra/Smith

60 sedr42021_0553a.jpg Figure Example 5.14: (a) circuit; (b) dc analysis; (c) small-signal model. Microelectronic Circuits - Fifth Edition Sedra/Smith

61 sedr42021_0554a.jpg Figure Signal waveforms in the circuit of Fig Microelectronic Circuits - Fifth Edition Sedra/Smith

62 sedr42021_0555a.jpg Figure Example 5.16: (a) circuit; (b) dc analysis; (c) small-signal model; (d) small-signal analysis performed directly on the circuit. Microelectronic Circuits - Fifth Edition Sedra/Smith

63 sedr42021_0556.jpg Figure Distortion in output signal due to transistor cutoff. Note that it is assumed that no distortion due to the transistor nonlinear characteristics is occurring. Microelectronic Circuits - Fifth Edition Sedra/Smith

64 sedr42021_0557.jpg Figure Input and output waveforms for the circuit of Fig Observe that this amplifier is noninverting, a property of the common-base configuration. Microelectronic Circuits - Fifth Edition Sedra/Smith

65 sedr42021_0558a.jpg Figure The hybrid-p small-signal model, in its two versions, with the resistance ro included. Microelectronic Circuits - Fifth Edition Sedra/Smith

66 sedr42021_e0540.jpg Figure E5.40 Microelectronic Circuits - Fifth Edition Sedra/Smith

67 sedr42021_tb0504a.jpg Table 5.4 Microelectronic Circuits - Fifth Edition Sedra/Smith

68 sedr42021_0559.jpg Figure Basic structure of the circuit used to realize single-stage, discrete-circuit BJT amplifier configurations. Microelectronic Circuits - Fifth Edition Sedra/Smith

69 sedr42021_e0541a.jpg Figure E5.41 Microelectronic Circuits - Fifth Edition Sedra/Smith

70 sedr42021_tb0505a.jpg Table 5.5 Microelectronic Circuits - Fifth Edition Sedra/Smith

71 sedr42021_0560a.jpg Figure (a) A common-emitter amplifier using the structure of Fig (b) Equivalent circuit obtained by replacing the transistor with its hybrid-p model. Microelectronic Circuits - Fifth Edition Sedra/Smith

72 sedr42021_0561a.jpg Figure (a) A common-emitter amplifier with an emitter resistance Re. (b) Equivalent circuit obtained by replacing the transistor with its T model. Microelectronic Circuits - Fifth Edition Sedra/Smith

73 Common base amplifiers handle high frequencies better
The isolate the input circuit (emitter) from the output circuit (collector). Figure (a) A common-base amplifier using the structure of Fig (b) Equivalent circuit obtained by replacing the transistor with its T model. Microelectronic Circuits - Fifth Edition Sedra/Smith

74 The emitter follower (Common Collector) acts as a buffer amplifier
High input impedance Low output impedance Power gain Unity voltage gain Figure (a) An emitter-follower circuit based on the structure of Fig (b) Small-signal equivalent circuit of the emitter follower with the transistor replaced by its T model augmented with ro. (c) The circuit in (b) redrawn to emphasize that ro is in parallel with RL. This simplifies the analysis considerably. Microelectronic Circuits - Fifth Edition Sedra/Smith

75 sedr42021_0564.jpg Figure (a) An equivalent circuit of the emitter follower obtained from the circuit in Fig. 5.63(c) by reflecting all resistances in the emitter to the base side. (b) The circuit in (a) after application of Thévenin theorem to the input circuit composed of vsig, Rsig, and RB. Microelectronic Circuits - Fifth Edition Sedra/Smith

76 sedr42021_0565.jpg Figure (a) An alternate equivalent circuit of the emitter follower obtained by reflecting all base-circuit resistances to the emitter side. (b) The circuit in (a) after application of Thévenin theorem to the input circuit composed of vsig, Rsig / (b 1 1), and RB / (b 1 1). Microelectronic Circuits - Fifth Edition Sedra/Smith

77 sedr42021_0566.jpg Figure Thévenin equivalent circuit of the output of the emitter follower of Fig. 5.63(a). This circuit can be used to find vo and hence the overall voltage gain vo/vsig for any desired RL. Microelectronic Circuits - Fifth Edition Sedra/Smith

78 sedr42021_tb0506a.jpg Table 5.6 Microelectronic Circuits - Fifth Edition Sedra/Smith

79 sedr42021_0567.jpg Figure 5.67 The high-frequency hybrid-p model.
Microelectronic Circuits - Fifth Edition Sedra/Smith

80 sedr42021_0568.jpg Figure Circuit for deriving an expression for hfe(s) ; Ic/Ib. Microelectronic Circuits - Fifth Edition Sedra/Smith

81 sedr42021_0569.jpg Figure 5.69 Bode plot for uhfeu.
Microelectronic Circuits - Fifth Edition Sedra/Smith

82 sedr42021_0570.jpg Figure 5.70 Variation of fT with IC.
Microelectronic Circuits - Fifth Edition Sedra/Smith

83 sedr42021_tb0507a.jpg Table 5.7 Microelectronic Circuits - Fifth Edition Sedra/Smith

84 sedr42021_0571a.jpg Figure (a) Capacitively coupled common-emitter amplifier. (b) Sketch of the magnitude of the gain of the CE amplifier versus frequency. The graph delineates the three frequency bands relevant to frequency-response determination. Microelectronic Circuits - Fifth Edition Sedra/Smith

85 sedr42021_0572a.jpg Figure Determining the high-frequency response of the CE amplifier: (a) equivalent circuit; (b) the circuit of (a) simplified at both the input side and the output side; (c) equivalent circuit with Cm replaced at the input side with the equivalent capacitance Ceq; (d) sketch of the frequency-response plot, which is that of a low-pass STC circuit. Microelectronic Circuits - Fifth Edition Sedra/Smith

86 sedr42021_0573a.jpg Figure Analysis of the low-frequency response of the CE amplifier: (a) amplifier circuit with dc sources removed; (b) the effect of CC1 is determined with CE and CC2 assumed to be acting as perfect short circuits; Microelectronic Circuits - Fifth Edition Sedra/Smith

87 sedr42021_0573c.jpg Figure (Continued) (c) the effect of CE is determined with CC1 and CC2 assumed to be acting as perfect short circuits; (d) the effect of CC2 is determined with CC1 and CE assumed to be acting as perfect short circuits; Microelectronic Circuits - Fifth Edition Sedra/Smith

88 sedr42021_0573e.jpg Figure (Continued) (e) sketch of the low-frequency gain under the assumptions that CC1, CE, and CC2 do not interact and that their break (or pole) frequencies are widely separated. Microelectronic Circuits - Fifth Edition Sedra/Smith

89 sedr42021_0574.jpg Figure 5.74 Basic BJT digital logic inverter.
Microelectronic Circuits - Fifth Edition Sedra/Smith

90 sedr42021_0575.jpg Figure Sketch of the voltage transfer characteristic of the inverter circuit of Fig for the case RB 5 10 kW, RC 5 1 kW, b 5 50, and VCC 5 5 V. For the calculation of the coordinates of X and Y, refer to the text. Microelectronic Circuits - Fifth Edition Sedra/Smith

91 sedr42021_0576.jpg Figure The minority-carrier charge stored in the base of a saturated transistor can be divided into two components: That in blue produces the gradient that gives rise to the diffusion current across the base, and that in gray results from driving the transistor deeper into saturation. Microelectronic Circuits - Fifth Edition Sedra/Smith

92 sedr42021_e0553.jpg Figure E5.53 Microelectronic Circuits - Fifth Edition Sedra/Smith

93 sedr42021_s0576.jpg Figure The transport form of the Ebers-Moll model for an npn BJT. Microelectronic Circuits - Fifth Edition Sedra/Smith

94 sedr42021_0577.jpg Figure The SPICE large-signal Ebers-Moll model for an npn BJT. Microelectronic Circuits - Fifth Edition Sedra/Smith

95 sedr42021_0578.jpg Figure The PSpice testbench used to demonstrate the dependence of bdc on the collector bias current IC for the Q2N3904 discrete BJT (Example 5.20). Microelectronic Circuits - Fifth Edition Sedra/Smith

96 sedr42021_0579.jpg Figure Dependence of bdc on IC (at VCE 5 2 V) in the Q2N3904 discrete BJT (Example 5.20). Microelectronic Circuits - Fifth Edition Sedra/Smith

97 sedr42021_0580.jpg Figure Capture schematic of the CE amplifier in Example 5.21. Microelectronic Circuits - Fifth Edition Sedra/Smith

98 sedr42021_0581.jpg Figure Frequency response of the CE amplifier in Example 5.21 with Rce = 0 and Rce = 130 . Microelectronic Circuits - Fifth Edition Sedra/Smith

99 The remaining 54 slides are for end-of-chapter problems
Figure P5.20 Microelectronic Circuits - Fifth Edition Sedra/Smith

100 sedr42021_p05021a.jpg Figure P5.21 Microelectronic Circuits - Fifth Edition Sedra/Smith

101 sedr42021_p05024a.jpg Figure P5.24 Microelectronic Circuits - Fifth Edition Sedra/Smith

102 sedr42021_p05026.jpg Figure P5.26 Microelectronic Circuits - Fifth Edition Sedra/Smith

103 sedr42021_p05036.jpg Figure P5.36 Microelectronic Circuits - Fifth Edition Sedra/Smith

104 sedr42021_p05044.jpg Figure P5.44 Microelectronic Circuits - Fifth Edition Sedra/Smith

105 sedr42021_p05053.jpg Figure P5.53 Microelectronic Circuits - Fifth Edition Sedra/Smith

106 sedr42021_p05057.jpg Figure P5.57 Microelectronic Circuits - Fifth Edition Sedra/Smith

107 sedr42021_p05058a.jpg Figure P5.58 Microelectronic Circuits - Fifth Edition Sedra/Smith

108 sedr42021_p05065.jpg Figure P5.65 Microelectronic Circuits - Fifth Edition Sedra/Smith

109 sedr42021_p05066.jpg Figure P5.66 Microelectronic Circuits - Fifth Edition Sedra/Smith

110 sedr42021_p05067a.jpg Figure P5.67 Microelectronic Circuits - Fifth Edition Sedra/Smith

111 sedr42021_p05068.jpg Figure P5.68 Microelectronic Circuits - Fifth Edition Sedra/Smith

112 sedr42021_p05069.jpg Figure P5.69 Microelectronic Circuits - Fifth Edition Sedra/Smith

113 sedr42021_p05071.jpg Figure P5.71 Microelectronic Circuits - Fifth Edition Sedra/Smith

114 sedr42021_p05072.jpg Figure P5.72 Microelectronic Circuits - Fifth Edition Sedra/Smith

115 sedr42021_p05074.jpg Figure P5.74 Microelectronic Circuits - Fifth Edition Sedra/Smith

116 sedr42021_p05076.jpg Figure P5.76 Microelectronic Circuits - Fifth Edition Sedra/Smith

117 sedr42021_p05078.jpg Figure P5.78 Microelectronic Circuits - Fifth Edition Sedra/Smith

118 sedr42021_p05079a.jpg Figure P5.79 Microelectronic Circuits - Fifth Edition Sedra/Smith

119 sedr42021_p05081.jpg Figure P5.81 Microelectronic Circuits - Fifth Edition Sedra/Smith

120 sedr42021_p05082.jpg Figure P5.82 Microelectronic Circuits - Fifth Edition Sedra/Smith

121 sedr42021_p05083.jpg Figure P5.83 Microelectronic Circuits - Fifth Edition Sedra/Smith

122 sedr42021_p05084.jpg Figure P5.84 Microelectronic Circuits - Fifth Edition Sedra/Smith

123 sedr42021_p05085.jpg Figure P5.85 Microelectronic Circuits - Fifth Edition Sedra/Smith

124 sedr42021_p05086.jpg Figure P5.86 Microelectronic Circuits - Fifth Edition Sedra/Smith

125 sedr42021_p05087a.jpg Figure P5.87 Microelectronic Circuits - Fifth Edition Sedra/Smith

126 sedr42021_p05096.jpg Figure P5.96 Microelectronic Circuits - Fifth Edition Sedra/Smith

127 sedr42021_p05097.jpg Figure P5.97 Microelectronic Circuits - Fifth Edition Sedra/Smith

128 sedr42021_p05098.jpg Figure P5.98 Microelectronic Circuits - Fifth Edition Sedra/Smith

129 sedr42021_p05099.jpg Figure P5.99 Microelectronic Circuits - Fifth Edition Sedra/Smith

130 sedr42021_p05100.jpg Figure P5.100 Microelectronic Circuits - Fifth Edition Sedra/Smith

131 sedr42021_p05101.jpg Figure P5.101 Microelectronic Circuits - Fifth Edition Sedra/Smith

132 sedr42021_p05112.jpg Figure P5.112 Microelectronic Circuits - Fifth Edition Sedra/Smith

133 sedr42021_p05115.jpg Figure P5.115 Microelectronic Circuits - Fifth Edition Sedra/Smith

134 sedr42021_p05116.jpg Figure P5.116 Microelectronic Circuits - Fifth Edition Sedra/Smith

135 sedr42021_p05124.jpg Figure P5.124 Microelectronic Circuits - Fifth Edition Sedra/Smith

136 sedr42021_p05126.jpg Figure P5.126 Microelectronic Circuits - Fifth Edition Sedra/Smith

137 sedr42021_p05130.jpg Figure P5.130 Microelectronic Circuits - Fifth Edition Sedra/Smith

138 sedr42021_p05134.jpg Figure P5.134 Microelectronic Circuits - Fifth Edition Sedra/Smith

139 sedr42021_p05135.jpg Figure P5.135 Microelectronic Circuits - Fifth Edition Sedra/Smith

140 sedr42021_p05136.jpg Figure P5.136 Microelectronic Circuits - Fifth Edition Sedra/Smith

141 sedr42021_p05137.jpg Figure P5.137 Microelectronic Circuits - Fifth Edition Sedra/Smith

142 sedr42021_p05141.jpg Figure P5.141 Microelectronic Circuits - Fifth Edition Sedra/Smith

143 sedr42021_p05143.jpg Figure P5.143 Microelectronic Circuits - Fifth Edition Sedra/Smith

144 sedr42021_p05144.jpg Figure P5.144 Microelectronic Circuits - Fifth Edition Sedra/Smith

145 sedr42021_p05147.jpg Figure P5.147 Microelectronic Circuits - Fifth Edition Sedra/Smith

146 sedr42021_p05148.jpg Figure P5.148 Microelectronic Circuits - Fifth Edition Sedra/Smith

147 sedr42021_p05159.jpg Figure P5.159 Microelectronic Circuits - Fifth Edition Sedra/Smith

148 sedr42021_p05161.jpg Figure P5.161 Microelectronic Circuits - Fifth Edition Sedra/Smith

149 sedr42021_p05162.jpg Figure P5.162 Microelectronic Circuits - Fifth Edition Sedra/Smith

150 sedr42021_p05166.jpg Figure P5.166 Microelectronic Circuits - Fifth Edition Sedra/Smith

151 sedr42021_p05167.jpg Figure P5.167 Microelectronic Circuits - Fifth Edition Sedra/Smith

152 sedr42021_p05171.jpg Figure P5.171 Microelectronic Circuits - Fifth Edition Sedra/Smith


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