Finite-Gain Closed-Loop Error
Calculate feedback closed-loop gain A/(1+Aβ) and percent error relative to ideal 1/β. Assumes negative feedback with positive real open-loop gain and feedback factor; frequency dependence is excluded.
Description
Calculate feedback closed-loop gain A/(1+Aβ) and percent error relative to ideal 1/β. Assumes negative feedback with positive real open-loop gain and feedback factor; frequency dependence is excluded.
Finite-Gain Closed-Loop Error: Calculate feedback closed-loop gain A/(1+Aβ) and percent error relative to ideal 1/β. Assumes negative feedback with positive real open-loop gain and feedback factor; frequency dependence is excluded.
When to use Finite-Gain Closed-Loop Error
Use this electronics calculation for a first-pass component, converter, signal, motor, or sensor estimate when the stated operating conditions and units match the device data.
- Open-loop gain A
- Required number input.
- Feedback factor β
- Required number input.
How Finite-Gain Closed-Loop Error works
Calculate feedback closed-loop gain A/(1+Aβ) and percent error relative to ideal 1/β. Assumes negative feedback with positive real open-loop gain and feedback factor; frequency dependence is excluded. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.1
- Closed Loop Gain
- The resulting closed loop gain returned as a number.
- Gain Error Percent
- The resulting gain error percent returned as a number.
Limitations and assumptions
- Amplifier gain and rejection calculations are small-signal approximations unless the operating point is checked. Gain-bandwidth, slew rate, input and output range, stability, noise, offset, bias current, loading, and frequency-dependent CMRR can limit the result.
- Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.
Alternative or Complementary approaches
Check the result against the current datasheet and worst-case operating corners, then verify the circuit or measurement with simulation and bench testing where failure matters.
References
-
Operational amplifier — Wikipedia contributors
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