Operation of transistor in Opamp log amplifier

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SUMMARY

The discussion focuses on the operation of a transistor in an operational amplifier (OpAmp) log amplifier circuit. Specifically, it addresses the implications of connecting transistor Q1 as a diode by shorting its collector to its base, which would introduce a base current error. The circuit utilizes the exponential relationship between Vbe and Ic to derive the output Vo = -C⋅log(Vin) - Vbeo, while the second OpAmp amplifies the log output and removes Vbeo. The analysis emphasizes that maintaining the base and collector at ground prevents the addition of base current to collector current, thus avoiding errors in the output.

PREREQUISITES
  • Understanding of operational amplifiers (OpAmps)
  • Knowledge of transistor operation, specifically Vbe and Ic relationships
  • Familiarity with logarithmic amplifier circuits
  • Basic circuit analysis skills
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  • Study the design and operation of logarithmic amplifiers using OpAmps
  • Learn about the effects of base current in transistor circuits
  • Explore the exponential relationship between Vbe and Ic in detail
  • Investigate methods to minimize errors in OpAmp circuits
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Electrical engineers, circuit designers, and students studying analog electronics who are interested in operational amplifier applications and transistor behavior in log amplifier circuits.

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In the figure it could also be possible to connect the transistor Q1 as a diode by shorting its collector with its base ..but instead it is done by keeping both base and collector at ground...
The text have to say that if it would be connected the other way(i.e by shorting collector and base )then the base current would have caused an error ( Base current error ) .
Which type of error is the author talking about..?
Why and how does the error manifest itself...?

Please help!
 

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The circuit around the first OpAmp uses the exponential relationship between Vbe and Ic in the feedback to create an output Vo = -C⋅log(Vin) - Vbeo. The circuit around the second OpAmp removes Vbeo and amplifies the log output.

If you look at Q1, you see that Ib goes from ground (constant potential) into the OpAmp output (very low output resistance) and therefore is not part of the collector current. If collector and base were shorted, the base current and the collector current would be added.
 

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