星期六, 2月 21, 2026

Electronics, Example 5

 

Two-Stage Amplifier Analysis

Solve for the gain, plot frequency response.




colab optimized (share)



Can we be more accurate with cut-off freq? Yes, use transfer function.  (based on AIStudio)






Opus 4.6 extended. exact, transfer function, −3 dB crossing at 77 Hz, parameters as above original


Gain is 7943=78.0 dB considering Early voltage. 8511=78.6dB ignoring it.




exact transfer function vs. factored transfer function



bypass 47, coupling 10 micro F
(gain approximate)

_________________________________________________________________________
  • ArtifactShare (Cπ2=15 pF, Cμ2=3pF). Result: freq response, gain=8513, low cut off=46.5 Hz, high cut off=312kHz
  • Gemini: Result gain=8509, low cut off=46.5 Hz, high cut off=296 kHz @Cπ2=15 pF, Cμ2=3pF (good match!)

Compare
  • ArtifactShare. Result: gain=8559 (Hybrid-π Model, With bypass capacitors, without ignoring base current loading effects)
  • Artifact. Result: gain=9460 (Ignored base current loading effects)
  • comprehensive comparison simplified, do not ignore bias network, do not ignore base current


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