I'm making an analysis of the error introduced by two different resistors in a voltage divider (and taking the voltage out from the middle of two series resistors).
I'm using this for an NTC reading, which is part of the divider. I know that the maximum error is the sum of the relative errors of the resistors present in the divider. What I don't know, is how to demonstrate this in an expression so that if the divider is made by 10 resistors and not just 2, I can still demonstrate easily the maximum error. So obtaining a graph like this: http://www.electronicproducts.com/Passive_Components/Resistors_and_Potentiometers/Resistive_voltage_dividers.aspx. I know that this could be a dummy question.
Moreover, the NTCs are providing an absolute error in °K which is related to the B factor and the ambient temperature resistance relative errors. Something like this http://product.tdk.com/en/techjournal/tfl/sensor_actuator/NTCG2/images/001e_p1_gla.gif. Should this error be added to the error that I will find from the voltage divider? The advantage, however, is that this error can be offset by calculating it and storing it in a Look-up table, since seems to depend only by the NTC itself and the ambient temperature.