Capacitive load driver
Capacitive load driver with circuit equations and operating-limit checks.
Development preview. Check the assumptions below before relying on a result. Calculations run in your browser.
How it calculates
Local loaded open-loop model: Aloaded = A0(s)[1+s Riso CL]/[1+s(Ro+Riso)CL]
Dual-feedback components: CF = max[1/(2*pi*RF fblend), 3 Riso CL/RF]; RG = RF/(NGdc-1)
Exact passive feedback network: YCF(V--VO) + (V--Vload)/RF + V-/RG = 0
Loop gain: T(s) = A0(s) * V-/Vinternal
Assumptions
- Generic amplifier: dominant pole, entered second pole and constant open-loop output resistance. The dual-feedback passive network is solved by nodal analysis including RF/CF loading. At DC, RF senses the load; at high frequency, CF senses the amplifier pin. For gains above unity, high-frequency noise gain tends to one, so the amplifier must be unity-gain stable.
- The CF choice puts RF CF at least three times Riso CL and below the requested transition frequency. The resistor search finds the first target-margin crossing on a logarithmic grid and refines it; it is a bounded numerical design suggestion, not a guarantee for a real device. The chosen Riso remains the plotted operating point. DC error neglects finite AOL and offset.
Worked example
These are the calculator's default inputs. Change any input above to recalculate.
Inputs
- Feedback
- local
- Requested dual-feedback transition
- 1000 Hz
- Dual-feedback resistor RF
- 20000 Ω
- Target phase margin
- 60 deg
- Maximum searched isolation resistor
- 100000 Ω
- Amplifier GBW
- 1000000 Hz
- DC open-loop gain
- 100 dB
- Additional open-loop pole
- 10000000 Hz
- Open-loop output resistance
- 50 Ω
- Isolation resistor
- 47 Ω
- Load capacitance
- 1e-9 F
- Closed-loop noise gain
- 1
- DC load current
- 0.001 A
Results
- Approximate phase margin
- 70.9455 deg
- Loop crossover
- 903022 Hz
- Isolation/load pole
- 3386280 Hz
- DC isolation resistor drop
- 0.047 V
- Dual-feedback CF
- Not used F
- Dual-feedback gain resistor RG
- Omit Ω
- Smallest searched resistor meeting target
- 0 Ω
- Recommended resistor phase margin
- 67.8759 deg