Okay thank you! I am not 100% sure how the fluke 117 works I guess. I was thinking since I won't be using the amp measurement setting then I wouldn't need to consider the 10A fused max of the meter? I just got the internal resistance from the spec sheet and I was thinking it has that internal resistance whenever the voltage setting is on. I could be completely wrong in my thinking, as i am not positive just how the fluke works.A few more observations.
1) If you use the 10A current range on the meter, then the resistance is not 10MΩ - that would be silly because the voltage drop across the meter would be 100,000,000 Volts. Use the meter on the 200mV Voltage range, and measure the voltage across the shunt resistor. Multiply the mV by 10 to get the current in Amps.
2) The tolerance on a shunt will be no better than 1%, possibly 0.1% if you buy a really expensive one.
The current through the meter is 10^10 less than the current through the shunt. To all intents and purposes the meter resistance is infinite.


