Transposition for Rg in 5 = 10k (1 + 20k/Rg)

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Discussion Overview

The discussion revolves around the transposition of a formula to find the value of Rg in the context of an instrumentation amplifier circuit. Participants explore the mathematical manipulation of the equation and its implications for circuit design, particularly in amplifying a small input signal.

Discussion Character

  • Homework-related, Technical explanation, Experimental/applied, Debate/contested

Main Points Raised

  • One participant presents a mathematical attempt to solve for Rg, arriving at a negative value, which raises concerns about its validity given that Rg represents a resistance.
  • Another participant suggests checking the solution by substituting Rg back into the original equation, indicating a method for verification.
  • A later reply questions the correctness of the initial calculation, prompting a revision of Rg based on a different formula related to the output voltage.
  • Participants discuss the context of using Rg in an instrumentation amplifier to amplify a 10mV input signal to a target output of 1V, highlighting the practical application of the calculations.
  • Concerns are raised about the actual output voltage achieved in a simulation, which is lower than expected, leading to further inquiries about circuit configuration and simulation parameters.
  • Questions are posed regarding the proper setup of power supplies and the inclusion of input signals in the simulation, indicating potential areas for troubleshooting.

Areas of Agreement / Disagreement

Participants express uncertainty about the initial calculation of Rg, with some agreeing that the math appears correct but questioning the physical feasibility of the result. The discussion remains unresolved regarding the discrepancy between calculated and simulated output voltages.

Contextual Notes

Limitations include potential missing assumptions about circuit configuration, the dependence on specific values for input signals, and unresolved details about the simulation setup that may affect the output.

Who May Find This Useful

Readers interested in circuit design, instrumentation amplifiers, and the mathematical analysis of electrical components may find this discussion relevant.

nothing909
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Homework Statement
Transpose to find Rg:

5 = 10k (1 + 20k/Rg)

The attempt at a solution

5 = 10k (1 + 20k/Rg)
5/10k = (1 + 20k/Rg)
5/10k - 1 = 20k/Rg
(5/10k - 1) / 20k = 1/Rg
20k / (5/10k -1) = Rg
Rg = -20010

This doesn't look right at all, what am I doing wrong?
 
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Looks good to me. Did you try checking by substituting Rg back into the original equation?
 
deleted.
 
Last edited:
If Rg is a resistance, no that does not look right. But your math seems to be correct. Can you provide us with context?
 
Sorry, I had the wrong value in. It should have been
Rg = 20k / Vout/10mV - 1
Rg = 20k / (1/10x10^-3 -1)
Rg = ~200ohm

I'm using an instrumentation amplifier and I'm trying to amplify a 10mV input signal to 1-10V.

I used this calculation so I could work out what the gain resistor should be to amplify the 10mV input signal to 1V.

In multisim, I run a transient simulation with the 200ohm gain resistor and I get this:

INA.jpg


why is the signal only being amplified to 0.7V and not 1V like I calculated?
 

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All you are doing is creating more questions :)

Please show us the amplifier, circuit layout, and how Rg is used.
 
sorry, the circuit layout below, with R3 being Rg.
INA circuit.jpg
 

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Hmm I'm not sure. Do you have your pos and neg supplies hooked up to all your amplifiers?
Are you simulating this with the common mode gain?
Can you put in the input signal for comparison?
 
i'm sure the pos and neg power them all by just being connected to one of the amplifiers.

yes, it's being simulated with the common mode gain.

here is the input signals and output:

INA.png


do you see any other reason why it is not being amplified correctly?
 

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