Understanding why R_E is in parallel with g_m in a BJT

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SUMMARY

The discussion centers on the relationship between the emitter resistor (R_E) and the transconductance (g_m1) in a BJT small signal model. Participants clarify that R_E is in parallel with 1/g_m1 due to the voltage divider effect influenced by the Early voltage (V_A). The analysis assumes a high beta (β) value to simplify the circuit behavior, indicating that circuits dependent on β are less desirable. Key parameters such as r23 and V_A require definition for a complete understanding of the circuit dynamics.

PREREQUISITES
  • Understanding of BJT small signal models
  • Familiarity with transconductance (g_m) and its implications
  • Knowledge of Early voltage (V_A) and its role in circuit analysis
  • Concept of voltage dividers in electrical circuits
NEXT STEPS
  • Study the impact of Early voltage (V_A) on BJT performance
  • Learn about the significance of transconductance (g_m) in amplifier design
  • Explore the effects of varying beta (β) on BJT circuits
  • Investigate the role of voltage dividers in small signal analysis
USEFUL FOR

Electrical engineering students, circuit designers, and anyone studying BJT amplifier configurations will benefit from this discussion.

kl055
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Homework Statement


Why is R_E in parallel with 1/g_m1?
I drew the small signal model but it does not make sense to me


Homework Equations


70-2a8fc58e7f.jpg



The Attempt at a Solution

 
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I get that V_A is given by a voltage divider, but why is R_E in parallel with 1/g_m1?
 
Q3 is just a diode so gm3 can't play a role.

What is r23? What is VA? You need to define some of these parameters. I assume gm = β but am not sure ...

I analyzed the circuit assuming β → ∞. Why? Because any circuit that is β-dependent is not a good circuit.

So I got what looks like your expression if gm → ∞. I know that's not what you are trying to find out - sorry.
 

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