Magnitude of open-loop gain — op-amp fundamentals: Do operational amplifiers have very low open-loop gain, or is the open-loop gain typically very high (e.g., 10^5 or more at low frequency) before feedback sets the usable closed-loop gain?

Difficulty: Easy

Correct Answer: Incorrect

Explanation:


Introduction / Context:
The op-amp s power comes from its enormous open-loop gain (Aol), which allows negative feedback to precisely set a smaller, predictable closed-loop gain. Misstating the open-loop gain as “very low” inverts this fundamental idea and can lead to incorrect expectations about precision and linearity without feedback.


Given Data / Assumptions:

  • Typical general-purpose op-amps exhibit Aol on the order of 10^5 to 10^6 at low frequency.
  • Frequency compensation rolls off Aol with frequency, but DC/low-frequency Aol is still very high.
  • Closed-loop gain is set by external networks under feedback.


Concept / Approach:
High open-loop gain ensures that, under negative feedback, even tiny differential input errors produce the needed output to satisfy the feedback condition. This is why linear closed-loop gain can be accurate and largely resistor-ratio controlled. Therefore, the statement “an op-amp has very low open-loop gain” is false; the opposite is true.


Step-by-Step Solution:

1) Recognize typical Aol values (e.g., 100 dB ≈ 10^5).2) Note that closed-loop gain Av_cl ≈ 1/β, provided Aol * β ≫ 1.3) The high Aol makes the input differential voltage extremely small in linear operation.4) Conclude that describing Aol as “very low” is incorrect.


Verification / Alternative check:
Datasheets for classic op-amps (e.g., 741, 358, 5532) list typical DC open-loop gains from tens to hundreds of thousands, confirming the high Aol premise.


Why Other Options Are Wrong:

  • Correct: Not correct; Aol is very high, not low.
  • Only correct for unity-gain stable op-amps: Stability compensation does not reduce DC Aol to “very low.”
  • Only correct above 1 MHz: Aol decreases with frequency, but not to “very low” at DC; the claim remains false.


Common Pitfalls:
Assuming the specified closed-loop gain (e.g., 10 or 100) equals the device’s open-loop gain; overlooking how feedback leverages large Aol for accuracy.


Final Answer:
Incorrect

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