Calculating Closed and Open Loop Gain for Inverting Amplifier

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SUMMARY

The discussion focuses on calculating the closed and open loop gain for an inverting amplifier with a closed loop gain of 100 and a negative feedback of 0.8% of the output signal. The user correctly identifies the formulas for closed loop gain (A = -RF / Rin) and attempts to derive the open loop gain based on the given parameters. The calculated open loop gain is approximately -1.01, but the user expresses uncertainty regarding the closed loop gain if the op-amp had an infinite open loop gain, indicating that the standard formula may not apply without the assumption of an infinite gain.

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  • Understanding of operational amplifier configurations
  • Familiarity with feedback principles in electronics
  • Knowledge of gain calculations for inverting amplifiers
  • Ability to interpret operational amplifier datasheets
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  • Study the effects of finite open loop gain on inverting amplifier performance
  • Learn about the frequency response of operational amplifiers
  • Examine practical examples of non-ideal inverting amplifier configurations
  • Review operational amplifier datasheets for open loop gain specifications
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Electronics students, circuit designers, and engineers working with operational amplifiers and feedback systems will benefit from this discussion.

dagg3r
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hi all i got this operational amplifer question was wondering if anyone can help out

1. a feedback amplifier has a closed loop gain of 100, and the negative feedback is 0.8% of the output signal. the opamp has an open loop gain which is considerable less then the ideal value of infinity.
a) what is the open loop gain
b) what would the closed loop gain be if the opamp had an infinite open loop gain


ok for this question i assume this is an inverting amplifier so i know these formulas
A (gain for closed loop) = Vout/ Vin = -RF / Rin
A (gain for open loop) = Vout / (V1 - v2)
i am guessing these steps hope it is right
we know closed loop gain = 100 hence
100 = -RF / RIN
and i know -RF=0.8/100 * Vout
i know RF=-100 and RIn=1
100 = (0.8/100) * Vout
Vout = 12500 V
Vin = 125 V

so open loop gain = 12500 / (125 - 12500)
= -1.01 ?

b) no idea about this, would it be 0?
 
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I could be wrong here, but if the O.L. gain of the Op-Amp is finite then I don't think that the formula

[tex]A_{\mbox{C.L.}}=\frac{R_{f}}{R_{in}}[/tex]

applies anymore. You need to do some analysis of the amp without the assumption of an extremely large O.L. gain, that's how you arrive A=-Rf/Ri. Without that assumption, A=-Rf/Ri no longer holds good. Most electronics books probably give an analysis of the non-ideal inverting configuration.
 
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Open loop gain of Op-Amps (in a feedback configuration) are constant but only at low frequencies. As you increase in frequency, its gain attenuates.. For example see Figure 5 on this http://www.uoguelph.ca/~antoon/gadgets/741/741.html . If you could look at a datasheet for the Op-Amp in this question, you can read off its open loop gain. From the information given in your question, I don't see how you can calculate it.
 
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