Microelectronic Circuits (the Oxford Series In Electrical And Computer Engineering)
Microelectronic Circuits (the Oxford Series In Electrical And Computer Engineering)
8th Edition
ISBN: 9780190853464
Author: Adel S. Sedra, Kenneth C. (kc) Smith, Tony Chan Carusone, Vincent Gaudet
Publisher: Oxford University Press
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Chapter 10, Problem 10.30P
To determine

The rπ, AMand fH

  rπ=5 kΩAM=29.02 V/VfH=1007.3 KHz

Given Information:

  Rsig=10 kΩRB1=68 kΩRB2=27 kΩRE=2.2 kΩRC=4.7 kΩIC=0.8 mACμ=0.5 pFfT=1 GHzRL=10 kΩβ=160

  Microelectronic Circuits (the Oxford Series In Electrical And Computer Engineering), Chapter 10, Problem 10.30P

Fig: Given circuit

Calculation:

Write the equation for trans-conductance gm in terms of collector current IC and temperature equivalent voltage VT is given by

  gm=ICVT

Where

  VT=25 mV

Plugging the values

  gm=0.8 mA25 mVgm=0.032 A/V

The expression for frequency fT in terms of capacitance and trans-conductance is given by,

  fT=gm2πCπ+Cμ

Plugging the values

  1 GHz=0.032 A/V2πCπ+0.5 pFCπ+0.5 pF=0.032 A/V2π1 GHzCπ=0.032 A/V2π×1×1090.5 pF

  Cπ=4.59 pF

Write an equation for the effective load resistance of the amplifier

  RL'=RCRL

Plugging given values.

  RL'=4.7 kΩ10 kΩRL'=4.7 kΩ×10 kΩ4.7 kΩ+10 kΩRL'=3.19 kΩ

The expression for total input capacitance is given by,

  Cin=Cπ+Cμ1+gmRL'

Plugging given values.

  Cin=4.59 pF+0.5 pF 1+0.032 A/V×3.19 kΩCin=4.59 pF+0.5 pF 103.08Cin=56.13 pF

Write an equation for the equivalent base resistance of the amplifier

  RB=RB1RB2

Plugging given values.

  RB=68 kΩ27 kΩRB=68 kΩ×27 kΩ68 kΩ+27 kΩRB=19.32 kΩ

Write the equation for resistance rπ in terms of trans-conductance gm as follows:

  rπ=βgm

Plugging the values

  rπ=1600.032 mA/Vrπ=5 kΩ

Write an equation for the effective signal resistance of the amplifier

  Rsig'=rπRBRsig

Plugging given values.

  Rsig'=5 kΩ19.32 kΩ10 kΩRsig'=5 kΩ19.32 kΩ×10 kΩ19.32 kΩ+10 kΩRsig'=5 kΩ6.58 kΩRsig'=5 kΩ×6.58 kΩ5 kΩ+6.58 kΩRsig'=2.84kΩ

Write the equation for 3-dB frequency as follows:

  fH=12πCinRsig'

Plugging given values.

  fH=12π×55.63 pF×2.84kΩfH=12π55.63×1012 F2.84×103 ΩfH=1007.3 KHz

Write the equation for the corresponding gain AM of the amplifier given as follows:

  AM=RBRB+Rsigrπrπ+RBRsiggmRL'

Plugging given values.

  AM=19.32 kΩ19.32 kΩ+10 kΩ5 kΩ5 kΩ+19.32kΩ10kΩ0.032 A/V3.19 kΩAM=19.32 kΩ29.32 kΩ5 kΩ5 kΩ+6.589 kΩ0.032 A/V3.19 kΩAM=29.02 V/V

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2) (15pts) In a PAM baseband digital communication system, an M-ary system has a channel bandwidth of 2 KHz. The channel introduces 10dB of losses and AWGN noise with a power spectral density of 1*10-6 W/Hz. The application requires a bit rate of 4.8 Kbps and BER of less than 10^-6. Estimate the require transmit power.

Chapter 10 Solutions

Microelectronic Circuits (the Oxford Series In Electrical And Computer Engineering)

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