
Concept explainers
(a)
The small-signal voltage gain for given RL .
(a)

Answer to Problem 10.81P
Av=−1978
Explanation of Solution
Given:
R1=47kΩVAN=120VVAP=90VV+=3VVEB(on)=0.6V
Calculation:
The given circuit is,
The transistor Q1 and Q2 are matched so expression for reference current will be,
IREF=V+−VEB(on)R1
IREF=3−0.647×103IREF=2.447×103IREF=51.06μA
Now calculate the small-signal voltage gain,
Av=−(IREFVT)(IREFVAN+1RL+IREFVAP)
Substitute the given values,
Av=−(51.06×10−60.026)(51.06×10−6120+1RL+51.06×10−690)Av=−(1.964×10−3)(4.255×10−7+1RL+5.673×10−7)Av=−(1.964×10−3)(9.928×10−7+1RL) (1)
Substitute RL=∞ in equation (1)
Av=−(1.964×10−3)(9.928×10−7+1∞)Av=−(1.964×10−3)(9.928×10−7+0)Av=−(1.964×10−3)(9.928×10−7)
Av=−1978
Conclusion:
Av=−1978
(b)
The small-signal voltage gain for given RL .
(b)

Answer to Problem 10.81P
Av=−454
Explanation of Solution
Given:
R1=47kΩVAN=120VVAP=90VV+=3VVEB(on)=0.6V
Calculation:
The given circuit is,
The transistor Q1 and Q2 are matched so expression for reference current will be,
IREF=V+−VEB(on)R1
IREF=3−0.647×103IREF=2.447×103IREF=51.06μA
Now calculate the small-signal voltage gain,
Av=−(IREFVT)(IREFVAN+1RL+IREFVAP)
Substitute the given values,
Av=−(51.06×10−60.026)(51.06×10−6120+1RL+51.06×10−690)Av=−(1.964×10−3)(4.255×10−7+1RL+5.673×10−7)Av=−(1.964×10−3)(9.928×10−7+1RL) (1)
Substitute RL=300kΩ in equation (1)
Av=−(1.964×10−3)(9.928×10−7+1300×103)Av=−(1.964×10−3)(9.928×10−7+3.33×10−6)Av=−(1.964×10−3)(4.326×10−6)
Av=−454
Conclusion:
Av=−454
(c)
The small-signal voltage gain for given RL .
(c)

Answer to Problem 10.81P
Av=−256
Explanation of Solution
Given:
R1=47kΩVAN=120VVAP=90VV+=3VVEB(on)=0.6V
Calculation:
The given circuit is,
The transistor Q1 and Q2 are matched so expression for reference current will be,
IREF=V+−VEB(on)R1
IREF=3−0.647×103IREF=2.447×103IREF=51.06μA
Now calculate the small-signal voltage gain,
Av=−(IREFVT)(IREFVAN+1RL+IREFVAP)
Substitute the given values,
Av=−(51.06×10−60.026)(51.06×10−6120+1RL+51.06×10−690)Av=−(1.964×10−3)(4.255×10−7+1RL+5.673×10−7)Av=−(1.964×10−3)(9.928×10−7+1RL) (1)
Substitute RL=150kΩ in equation (1)
Av=−(1.964×10−3)(9.928×10−7+1150×103)Av=−(1.964×10−3)(9.928×10−7+6.66×10−6)Av=−(1.964×10−3)(7.659×10−6)
Av=−256
Conclusion:
Av=−256
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Chapter 10 Solutions
Microelectronics: Circuit Analysis and Design
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