by RetireeJay » 2017-Jul-Tue-16-Jul
If you look at the document that I attached to a previous post, you will see a schematic on page 3 where it shows the current that goes through the motor passing through a sense resistor Rs. Current X Resistance = Voltage, so the motor current flowing through Rs generates a Sense Voltage proportional to the current. (That is, the current at that moment through that winding of the motor; there are two coils and two sense resistors.)
The schematic shows the Sense Voltage being compared to a reference voltage, which is created by a DAC (Digital to Analog Converter) that uses Vref as its analog reference input and a digital word as its digital input. So the DAC in this case is able to create voltages for the comparator in steps equal to 1/8 of the reference voltage. (We get the 16 microsteps by including both forward and reverse directions of the current). I think that's where the factor of 8 shows up on page 7.
But all of that has absolutely nothing to do with steps per millimeter. It has to do with how much current you send to the motor. Note that a stepper motor has just about the same total current flowing through it (the two coils combined) all the time, even when stationary. If the current is too low, the stepper will not have enough power and it will miss steps. If the current is too high, the stepper motor will run too hot. Since Vref is difficult to access on the Printrboard, most users don't try to actually measure it, but instead empirically adjust the motor current to a happy medium where the motor isn't overheating and yet has enough power to execute the moves without missing steps.
EDIT: Just re-read your post. I doubt any practical stepper motor is going to work with a sense resistor of 100 ohms; that's far too high.
Printrbot Plus operational January 2013
Brass threaded rods (5/16" X 18) & nuts for Z axis
GT2 belts & pulleys
Cable chain to reduce probability of fatigue failure in wires
E3D V5 Hot End, 0.4mm nozzle, also 0.8 and 0.25 in use occasionally
PB fan mount + 40mm fan -- using printed mount adapter, not the E3D supplied fan
Injection molded extruder gears
Optical Z "endstop" (custom designed and built)
Have used many pounds of T-Glase filament. Now also doing some work with Ninjaflex SemiFlex
Print on glass with Scotch Craft Stick or other glue stick
"My next printer is..." Prusa i3 MK3, upgraded to MK3S