System Feedback Loop Gain Calculator
Calculate open-loop gain, closed-loop gain (with feedback), loop gain, and gain margin for negative and positive feedback systems.
Results will appear here.
Formulas
Loop Gain: T = A · β
Closed-Loop Gain (Negative Feedback): Acl = A / (1 + Aβ)
Closed-Loop Gain (Positive Feedback): Acl = A / (1 − Aβ)
Gain (dB): GdB = 20 · log₁₀(|G|)
Gain Margin (dB): GM = −20 · log₁₀(|Aβ|) [negative feedback]
Sensitivity: S = 1 / (1 + Aβ) [negative feedback]
Desensitivity Factor: D = 1 + Aβ [negative feedback]
Assumptions & References
- Reference: Sedra & Smith, Microelectronic Circuits, 7th ed., Ch. 10; Ogata, Modern Control Engineering, 5th ed., Ch. 7.