A voltage divider in terms of a conductance

AI Thread Summary
The discussion focuses on converting the voltage divider equation from resistance terms to conductance terms in the context of op-amp analysis. The original resistance-based formula is Ri/(Rf+Ri), which can be transformed by substituting 1/Gf for Rf and 1/Gi for Ri. This substitution leads to the conductance-based expression Gf/(Gi+Gf). Participants clarify that simplifying the substituted equation yields the desired voltage divider formula in terms of conductance. Understanding this conversion is crucial for analyzing circuits like the Wien bridge oscillator effectively.
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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