Can a Bridge Voltage Divider be Used to Calculate Voltage Gain?

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SUMMARY

The discussion centers on the use of a bridge voltage divider to calculate voltage gain in electrical circuits. Participants confirm that the voltage gain can be expressed as the ratio of source voltage (V_s) to output voltage (V_e), with both methods yielding equivalent results. The key formula discussed is $$ {V_s\over V_e} = {Z' \over Z + Z' } $$, which illustrates that the methods employed by the teacher and the student are fundamentally similar. The conversation emphasizes the importance of verifying calculations related to equivalent impedance (Z_eq) in these scenarios.

PREREQUISITES
  • Understanding of voltage gain and its calculation
  • Familiarity with bridge voltage dividers
  • Knowledge of equivalent impedance (Z_eq) in electrical circuits
  • Basic algebraic manipulation of electrical formulas
NEXT STEPS
  • Research the application of bridge voltage dividers in various circuit configurations
  • Learn about equivalent impedance calculations in series and parallel circuits
  • Explore the principles of voltage gain in operational amplifier circuits
  • Study the impact of load resistance on voltage gain in practical applications
USEFUL FOR

Electrical engineering students, circuit designers, and anyone interested in understanding voltage gain calculations and bridge voltage divider applications.

Pablo3
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Thread moved from the technical physics forums, so no Homework Help Template is shown.
Good morning,I'm french and I need help for this exercice.
It's a exercice it is an exercise on the voltage gain,and on the first scheme there are the correction of my teatcher,but I but I was wondering if we can't calculate the voltage gain with a bridge voltage divider like I did.(It's in french but only the formula are important).
The second scheme,it's the same thing(the method of my teacher ,and bridge voltage divider),but is it good?
160109064247913760.jpg

160109064312572686.jpg
 
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First diagram: yes. One more step and you can see that the ##V_s\over V_e## ratios are identical !

Second diagram: I don't see what your professeur did ?

But you want to check your ##1\over Z_{eq}## !
 
Hello,thank you for your help :),so my teacher did not do the second exercise,but I tried to use his methode.
His method is in red on this diagram(or scheme ):
Is-it a question?
No I don't want to check my 1/Zeq,this calculation is right I think but I have not always trusted me.
I must speak better in english to better understand you and write better.
But yes professeur=professor in english :).
16011002031976569.jpg
 
Method of your professeur does not give 1: numerator and denominator are different.

Time to point out that method of professeur and your method are not different: $$ {V_s\over V_e} = {Z' I_e \over \left ( Z + Z' \right ) I_e} = {Z' \over Z + Z' } $$
 
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Pablo3 said:
No I don't want to check my 1/Zeq, this calculation is right
Of course not$${1\over 2} = {1\over 3} + 0.16667 \Rightarrow 2 = 3 + 6 \ \ \ \ {\rm ?} $$
 
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BvU said:
Of course not$${1\over 2} = {1\over 3} + 0.16667 \Rightarrow 2 = 3 + 6 \ \ \ \ {\rm ?} $$
Yes yes,I have forgot one thing,and to answer your question no that does not mean it,but yes effectively the methods are similar.
Thank you very much !
I wish you a good day :).
 
Avec plaisir. You're welcome and I'll be glad to look at your result for the (R//C) / (R+C + R//C) case...
 
Pablo3 said:
Yes yes,I have forgot one thing,and to answer your question no that does not mean it,but yes effectively the methods are similar.
Thank you very much !
I wish you a good day :).
Normally equal to Zeq :
160110041719803814.jpg
 
So far, so good !
 

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