Understanding Input and Output Resistances of an Amplifier with Feedback"

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Discussion Overview

The discussion centers on measuring the input and output resistances of an amplifier with feedback, including the methods and instruments used for these measurements. It also touches on the measurement of feedback gain (beta) in the context of amplifiers, particularly at low frequencies.

Discussion Character

  • Technical explanation
  • Experimental/applied
  • Debate/contested

Main Points Raised

  • One participant suggests measuring input resistance as V(signal) / I(signal) when the input is a voltage source.
  • Another participant proposes that for output resistance, one could connect a load resistance, measure the voltage across it, and divide by the output current.
  • There is a discussion about the practicality of measuring current at higher frequencies, with one participant noting that this method is seldom used and recommending the use of a network analyzer for accurate measurements of S parameters.
  • Participants express uncertainty regarding the specific definition of beta, with one clarifying that they refer to the feedback gain rather than the transistor current gain.
  • One participant mentions that for low-frequency BJT amplifiers, input and output resistances can be easily calculated.
  • Another participant indicates that at a frequency of 10 kHz, a network analyzer may not be necessary, suggesting that DC measurements could suffice.

Areas of Agreement / Disagreement

Participants generally agree on the methods for measuring input and output resistances, but there is some uncertainty regarding the definition of beta and the necessity of using a network analyzer at low frequencies. The discussion remains unresolved regarding the best approach to measure feedback gain.

Contextual Notes

The discussion does not resolve the assumptions regarding the definitions of beta and the conditions under which different measurement techniques are applicable. There is also a lack of consensus on the most effective method for measuring feedback gain in this context.

engcon
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Hi,

Suppose I have an amplifier with feedback, how would I measure the input and output resistances (using instruments)?

If the input of the amplifier is a voltage source, the input resistance would simply be V(signal) / I(signal).
Now if the output of the amplifier is a current, would I just need to hook a load resistance and measure the voltage across and then divide by the output current?

Lastly, is it possible to measure beta (the feedback gain), or does that have to be done mathematically?

Many Thanks
 
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Yes, that's how you do it. R = V/I for input and output. For amplifiers, it is more useful to measure input and output impedance Z = V/I, as there is that imaginary component.

It is impractical to measure current at higher frequencies, therefore this method is seldom used. The preferred method is using a network analyzer, which measures S parameters very accurately. The advantage of that is S parameters can be converted to any type of parameters including the impedance.

If you are working on simple low frequency BJT amp, then input and output resistances can be easily calculated.

I'm not sure which beta are you referring to? Transistor current gain? or negative feedback as some books use beta? In either case both can be measured and calculated.
 
Hi, thanks for your reply!

what said:
I'm not sure which beta are you referring to? Transistor current gain? or negative feedback as some books use beta? In either case both can be measured and calculated.

By beta I was referring to the negative feedback, not the transistor current gain (beta or hfe).

(The amplifiers in question will have to be tested with a maximum frequency of 10kHz)
 
At 10 kHz, you probably don't have to use a network analyzer. Since the frequency is so low, you can get away with a DC measurement.
 

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