A voltage divider in terms of a conductance

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SUMMARY

The discussion focuses on converting the voltage divider equation from resistance to conductance in the context of op-amp analysis, specifically within the Wien bridge oscillator. The original resistance-based formula, Ri/(Rf+Ri), can be transformed by substituting 1/Gf for Rf and 1/Gi for Ri. This substitution leads to the conductance-based equation Gf/(Gi+Gf), demonstrating the relationship between resistance and conductance in voltage dividers.

PREREQUISITES
  • Understanding of op-amp circuits
  • Familiarity with voltage divider principles
  • Knowledge of conductance and resistance relationships
  • Basic nodal analysis techniques
NEXT STEPS
  • Study the application note on nodal analysis of op-amps from Maxim Integrated
  • Learn about the Wien bridge oscillator and its applications
  • Explore the mathematical relationships between resistance and conductance
  • Investigate advanced op-amp configurations and their analysis
USEFUL FOR

Electrical engineers, students studying circuit design, and anyone interested in op-amp applications and voltage divider analysis.

bitrex
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I am looking at the following application note that goes into nodal analysis of op amps: http://www.maxim-ic.com/appnotes.cfm/an_pk/1939/ and down at the bottom where they're analyzing the Wien bridge oscillator the equation at the negative input of the op-amp taken from the output in terms of conductance is Gf/(Gi+Gf). I'm not sure how they got that - if expressed in terms of resistances that voltage divider is Ri/(Rf+Ri). How does one change the equation for a voltage divider in terms of resistance to terms of conductance?
 
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bitrex said:
I am looking at the following application note that goes into nodal analysis of op amps: http://www.maxim-ic.com/appnotes.cfm/an_pk/1939/ and down at the bottom where they're analyzing the Wien bridge oscillator the equation at the negative input of the op-amp taken from the output in terms of conductance is Gf/(Gi+Gf). I'm not sure how they got that - if expressed in terms of resistances that voltage divider is Ri/(Rf+Ri). How does one change the equation for a voltage divider in terms of resistance to terms of conductance?

In this expression, Ri/(Rf+Ri), substitute:

1/Gf for Rf
1/Gi for Ri

then simplify and you should get the voltage divider formula in terms of conductance.
 

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