Content originally posted in LPCWare by IanB on Tue Sep 30 00:02:42 MST 2014
It's an LPC1114, and it's doing what a huge number of a-to-ds will be used for - reading the position of a potentiometer, and doing it only 25 times a second. (Yes - a bit like taking a Ferrari to the supermarket)
The maximum output impedance of a pot occurs when it is set to its centre position, and at that point it is a quarter of its value (5.5k for a 22k pot).
The A/D will have a capacitor on its input, but that is AFTER the multiplexer. To charge to within one LSB (at centre value) takes about 6 time constants for a 10-bit converter (t=R.C.log(512) to be precise, and log(512)=6.23)
(The impedance of the pot at extremes of its travel drops to zero, so I'm not considering the case where the output is equal to Vdd, where t=R.C.log(1024), and it would be 7 time constants.)
So I know part of R, but it is in series with the multiplexer resistance, which will probably vary according to the input voltage like other CMOS analogue switches such as the 4016. I don't know C, most of which will be internal, but there will be pin- and track-capacitance. I also don't know what other delays there are.
Microchip is pretty good on this subject - there is a section called "A/D Acquisition Requirements" in every data sheet, which explains this, but they are no so good as to tell me the values for an NXP microcontroller!