# Q 1 v cc in v v out ω 1 k ω ω 13 k 12 k ω 400

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Q 1 V CC in V V out 1 k 13 k 12 k 400 C B = 2.5 V Figure 5.147 (a) Determine the operating point of . (b) Calculate the voltage gain and I/O impedances of the circuit. 59. Repeat Problem 58 for . 60. Compute the voltage gain and I/O impedances of the stage shown in Fig. 5.148 if and is very large. 61. Calculate the voltage gain and the I/O impedances of the stage depicted in Fig. 5.149 if and is very large. 62. Calculate the voltage gain of the circuit shown in Fig. 5.150 if . 63. The circuit of Fig. 5.151 provides two outputs. If , determine the relationship between and . Assume .

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BR Wiley/Razavi/ Fundamentals of Microelectronics [Razavi.cls v. 2006] June 30, 2007 at 13:42 274 (1) 274 Chap. 5 Bipolar Amplifiers Q 1 V CC in V Q 2 C B R 1 R 2 V out Figure 5.148 Q 1 V CC in V C B R 1 R 2 ideal V out Figure 5.149 Q 1 V CC in V ideal V out V b R S Figure 5.150 Q 1 V b in V V CC R C Q R C V V out2 out1 2 Figure 5.151 64. Using a small-signal model, determine the voltage gain of a CB stage with emitter degener- ation, a base resistance, and . Assume . 65. For in Fig. 5.152, determine the bias current of such that the gain is equal to 0.8. Assume . 66. The circuit of Fig. 5.152 must provide an input impedance of greater than 10 k with a minimum gain of 0.9. Calculate the required bias current and . Assume and . 67. A microphone having an output impedance drives an emitter follower as shown
BR Wiley/Razavi/ Fundamentals of Microelectronics [Razavi.cls v. 2006] June 30, 2007 at 13:42 275 (1) Sec. 5.5 Chapter Summary 275 Q 1 R V CC out V E in V = 2.5 V Figure 5.152 in Fig. 5.153. Determine the bias current such that the output impedance does not exceed 5 Q 1 V CC in V = 2.5 V R S I 1 out R Figure 5.153 . Assume and . 68. Compute the voltage gain and I/O impedances of the circuits shown in Fig. 5.154. Assume . Q 1 V CC out V in V Q 2 V b Q 1 V CC out V in V Q 2 Q 1 V CC out V in V Q R E 1 V CC out V in V Q R S Q 1 V CC in V Q R E out V (c) (d) (a) (b) (e) Q 2 2 2 Figure 5.154 69. Figure 5.155 depicts a “Darlington pair,” where plays a role somewhat similar to an emitter follower driving . Assume and the collectors of and are tied to . Note that . (a) If the emitter of is grounded, determine the impedance seen at the base of . (b) If the base of is grounded, calculate the impedance seen at the emitter of . (c) Compute the current gain of the pair, defined as .

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BR Wiley/Razavi/ Fundamentals of Microelectronics [Razavi.cls v. 2006] June 30, 2007 at 13:42 276 (1) 276 Chap. 5 Bipolar Amplifiers Q 1 Q 2 Figure 5.155 70. In the emitter follower shown in Fig. 5.156, serves as a current source for the input device Q 1 R V CC E in V Q 2 V b R CS Figure 5.156 . (a) Calculate the output impedance of the current source, . (b) Replace and with the impedance obtained in (a) and compute the voltage gain and I/O impedances of the circuit. 71. Determine the voltage gain of the follower depicted in Fig. 5.157. Assume Q 1 V CC out V = 2.5 V C 1 in V 10 k 1 k C 2 100 Figure 5.157 A, , and V. (But for bias calculations, assume .) Also, assume the capacitors are very large.
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