Microelectronics: Circuit Analysis and Design
Microelectronics: Circuit Analysis and Design
4th Edition
ISBN: 9780073380643
Author: Donald A. Neamen
Publisher: McGraw-Hill Companies, The
Question
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Chapter 6, Problem 6.14TYU

(a).

To determine

The small-signal transistor parameters gm,rπ,ro .

(a).

Expert Solution
Check Mark

Answer to Problem 6.14TYU

The values of small-signal parameters are,

  gm=7.73mAVrπ=15.5kΩ,ro=

Explanation of Solution

Given Information:

The circuit diagram is shown below.

  Microelectronics: Circuit Analysis and Design, Chapter 6, Problem 6.14TYU , additional homework tip  1

  β=120,VBE(on)=0.7V,VA=VCC=VEE=3.3V,RS=500Ω,RL=6,RB=100,RE=12,RC=12

Calculation:

The coupling and bypass capacitor act like open circuit for DC analysis. The AC voltage source ( vs ) is short circuited for DC analysis.

The modified figure is,

  Microelectronics: Circuit Analysis and Design, Chapter 6, Problem 6.14TYU , additional homework tip  2

Applying Kirchhoff’s voltage law in base-emitter loop,

  IBQRB+VBE(on)+IEQRE+VEE=0IBQRB+VBE(on)+(1+β)IBQRE+VEE=0IBQ=VEEVBE(on)RB+(1+β)REIBQ=(3.3)0.7100k+(1+120)12kIBQ=3.30.71552kIBQ=1.675μA

Determining the collector current,

  IBQ=1.675μAICQ=βIBQICQ=(120)(1.675μA)ICQ=0.201mA

Determining the Trans-conductance,

  gm=ICQVTgm=0.2010.026gm=7.73mAV

Determining the diffusion resistance rπ ,

  gmrπ=βrπ=βgmrπ=1207.73mAVrπ=15.5

Determining the small-signal transistor output resistance ro ,

  ro=VAICQro=0.201×103ro=

(b).

To determine

The small signal current gain (Ai=ioii) and small signal voltage gain (Av=vovs) .

(b).

Expert Solution
Check Mark

Answer to Problem 6.14TYU

The values of current and voltage gain,

  Ai=0.654Av=6.25

Explanation of Solution

Given Information:

The circuit diagram is shown below.

  Microelectronics: Circuit Analysis and Design, Chapter 6, Problem 6.14TYU , additional homework tip  3

  β=120,VBE(on)=0.7V,VA=VCC=VEE=3.3V,RS=500Ω,RL=6,RB=100,RE=12,RC=12

Calculation:

The coupling and bypass capacitors are short circuited for small-signal analysis. The DC voltage source is short circuited for small−signal analysis.

The modified figure is,

  Microelectronics: Circuit Analysis and Design, Chapter 6, Problem 6.14TYU , additional homework tip  4

Applying current division rule in output,

  Io=(RCRL+RC)(gmVπ)...(1)

Considering input circuit,

  Microelectronics: Circuit Analysis and Design, Chapter 6, Problem 6.14TYU , additional homework tip  5

  Vπ=Ib(rπ1+β)

Applying current division rule in input,

  Vπ=(rπ1+β)(RERE+rπ1+β)IiVπ=(rπ1+β||RE)Ii

From equation (1),

  Io=(RCRL+RC)(gm)((rπ1+β||RE)Ii)Ai=IoIi=gm(RCRL+RC)(rπ1+β||RE)=(7.73mAV)(12k12k+6k)(15.5k1+120||12k)=(5.153)(0.127)=0.654

Determining the small-signal voltage gain,

  Vo=(Rc||RL)(gmVπ)

Applying voltage division rule in input,

  Vπ=((RE||rπ1+β)Rs+(RE||rπ1+β))Vs

Plugging the value of Vπ ,

  Vo=(Rc||RL)(gm)(((RE||rπ1+β)Rs+(RE||rπ1+β))Vs)Av=VoVs=gm(Rc||RL)((RE||rπ1+β)Rs+(RE||rπ1+β))=(7.73mAV)(12k||6k)((12k||15.5k1+120)0.5k+(12k||15.5k1+120))=7.73×4×0.202=6.25

(c).

To determine

The values of input and output resistance.

(c).

Expert Solution
Check Mark

Answer to Problem 6.14TYU

The values of input and output resistance are,

  Ri=127ΩRo=12

Explanation of Solution

Given Information:

The circuit diagram is,

  Microelectronics: Circuit Analysis and Design, Chapter 6, Problem 6.14TYU , additional homework tip  6

  β=120,VBE(on)=0.7V,VA=VCC=VEE=3.3V,RS=500Ω,RL=6,RB=100,RE=12,RC=12

Calculation:

Considering the small signal equivalent circuit,

  Microelectronics: Circuit Analysis and Design, Chapter 6, Problem 6.14TYU , additional homework tip  7

The value of input resistance is,

  Microelectronics: Circuit Analysis and Design, Chapter 6, Problem 6.14TYU , additional homework tip  8

  Ri=RE||rπ1+β=12k||15.5k1+120=12k||0.128k=12×0.12812+0.128k=127Ω

Determining the output resistance,

  Ro=Rc=12

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Chapter 6 Solutions

Microelectronics: Circuit Analysis and Design

Ch. 6 - Design the circuit in Figure 6.35 such that it is...Ch. 6 - For the circuit in Figure 6.28, the smallsignal...Ch. 6 - The circuit in Figure 6.38 has parameters V+=5V ,...Ch. 6 - For the circuit in Figure 6.39, let =125 ,...Ch. 6 - (a) Assume the circuit shown in Figure 6.40(a) is...Ch. 6 - For the circuit in Figure 6.39, let =125 ,...Ch. 6 - Reconsider the circuit in Figure 6.38. Let =120 ,...Ch. 6 - For the circuit shown in Figure 6.48, let =120 ,...Ch. 6 - For the circuit in Figure 6.31, use the parameters...Ch. 6 - Consider the circuit in Figure 6.38. Assume...Ch. 6 - For the circuit shown in Figure 6.49, let VCC=12V...Ch. 6 - Consider the circuit and transistor parameters...Ch. 6 - For the circuit in Figure 6.54, the transistor...Ch. 6 - Assume the circuit in Figure 6.57 uses a 2N2222...Ch. 6 - For the circuit in Figure 6.58, RE=2k , R1=R2=50k...Ch. 6 - Prob. 6.12TYUCh. 6 - For the circuit shown in Figure 6.63, the...Ch. 6 - Prob. 6.14TYUCh. 6 - For the circuit shown in Figure 6.64, let RS=0 ,...Ch. 6 - Consider the circuit in Figure 6.70(a). Let =100 ,...Ch. 6 - In the circuit in Figure 6.74 the transistor...Ch. 6 - Discuss, using the concept of a load line, how a...Ch. 6 - Prob. 2RQCh. 6 - Prob. 3RQCh. 6 - Sketch the hybrid- equivalent circuit of an npn...Ch. 6 - Prob. 5RQCh. 6 - Prob. 6RQCh. 6 - Prob. 7RQCh. 6 - Prob. 8RQCh. 6 - Prob. 9RQCh. 6 - Sketch a simple emitter-follower amplifier circuit...Ch. 6 - Sketch a simple common-base amplifier circuit and...Ch. 6 - Compare the ac circuit characteristics of the...Ch. 6 - Prob. 13RQCh. 6 - Prob. 14RQCh. 6 - (a) Determine the smallsignal parameters gm,r ,...Ch. 6 - (a) The transistor parameters are =125 and VA=200V...Ch. 6 - A transistor has a current gain in the range 90180...Ch. 6 - The transistor in Figure 6.3 has parameters =120...Ch. 6 - Prob. 6.5PCh. 6 - For the circuit in Figure 6.3, =120 , VCC=5V ,...Ch. 6 - The parameters of each transistor in the circuits...Ch. 6 - The parameters of each transistor in the circuits...Ch. 6 - The circuit in Figure 6.3 is biased at VCC=10V and...Ch. 6 - For the circuit in Figure 6.14, =100 , VA= ,...Ch. 6 - Prob. 6.11PCh. 6 - The parameters of the transistor in the circuit in...Ch. 6 - Assume that =100 , VA= , R1=33k , and R2=50k for...Ch. 6 - The transistor parameters for the circuit in...Ch. 6 - For the circuit in Figure P6.15, the transistor...Ch. 6 - Prob. D6.16PCh. 6 - The signal source in Figure P6.18 is s=5sintmV ....Ch. 6 - Consider the circuit shown in Figure P6.19 where...Ch. 6 - Prob. 6.20PCh. 6 - Figure P6.21 The parameters of the transistor in...Ch. 6 - Prob. 6.22PCh. 6 - For the circuit in Figure P6.23, the transistor...Ch. 6 - The transistor in the circuit in Figure P6.24 has...Ch. 6 - For the transistor in the circuit in Figure P6.26,...Ch. 6 - If the collector of a transistor is connected to...Ch. 6 - Consider the circuit shown in Figure P6.13. Assume...Ch. 6 - For the circuit in Figure P6.15, let =100 , VA= ,...Ch. 6 - Consider the circuit in Figure P6.19. The...Ch. 6 - The parameters of the circuit shown in Figure...Ch. 6 - Consider the circuit in Figure P6.26 with...Ch. 6 - For the circuit in Figure P6.20, the transistor...Ch. 6 - In the circuit in Figure P6.22 with transistor...Ch. 6 - For the circuit in Figure P6.24, the transistor...Ch. 6 - Prob. 6.40PCh. 6 - Consider the ac equivalent circuit in Figure...Ch. 6 - For the ac equivalent circuit in Figure P6.42,...Ch. 6 - The circuit and transistor parameters for the ac...Ch. 6 - Consider the circuit in Figure P6.45. The...Ch. 6 - For the transistor in Figure P6.47, =80 and...Ch. 6 - Consider the emitterfollower amplifier shown in...Ch. 6 - The transistor parameters for the circuit in...Ch. 6 - In the circuit shown in Figure P6.51, determine...Ch. 6 - The transistor current gain in the circuit shown...Ch. 6 - Consider the circuit shown in Figure P6.47. The...Ch. 6 - For the circuit in Figure P6.54, the parameters...Ch. 6 - Figure P6.59 is an ac equivalent circuit of a...Ch. 6 - The transistor in the ac equivalent circuit shown...Ch. 6 - Consider the ac equivalent commonbase circuit...Ch. 6 - Prob. 6.62PCh. 6 - The transistor in the circuit shown in Figure...Ch. 6 - Repeat Problem 6.63 with a 100 resistor in series...Ch. 6 - Consider the commonbase circuit in Figure P6.65....Ch. 6 - For the circuit shown in Figure P6.66, the...Ch. 6 - The parameters of the circuit in Figure P6.67 are...Ch. 6 - For the commonbase circuit shown in Figure P6.67,...Ch. 6 - Consider the circuit shown in Figure P6.69. The...Ch. 6 - In the circuit of Figure P6.71, let VEE=VCC=5V ,...Ch. 6 - Consider the ac equivalent circuit in Figure...Ch. 6 - The transistor parameters in the ac equivalent...Ch. 6 - Consider the circuit shown in Figure 6.38. The...Ch. 6 - For the circuit shown in Figure 6.57, the...
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