All the other comments are red herrings.
No, all the other comments are perfectly valid and have contributed more to the discussion than yours which was just a put everyone else's down and repeated the first post.
The DVMs burden resistance can affect readings, especially at lower current settings and as I said a 9V battery won't necessarily be be 9V, after its discharged a bit it'll be a little less and when it's brand new it'll be slightly more.
It's true that the LED voltage drop should be taken into account, no one said it shouldn't but they're other things to be taken into account. I think a drop of 1.7V is a little on the low side for a red LED, it's probably more like 2V and the remaining 0.3V difference is due to the battery voltage being a bit higher than 9V and the burden resistance.
No,it was an injection of commonsense into a discussion which had introduced a lot of extraneous matter which
was not necessary to explain the original problem.
Current through the resistor can be determined by I=V/R where V is the voltage across the resistor & R is the
value of the resistance,without the LED or the battery being part of the calculation.
This can then be compared with the measured result,& that calculated by the other method.
Obviously,in this case,the accuracy of the volts,& ohms functions of the DMM,could be questioned,if great
accuracy is needed.
But--- This is an LED operating from a 9 volt supply!
If burden resistance was of concern in everyday circuits like this,it would be widely discussed in the general
technical community,
& I would have come across it as a problem during my over 40 years working in Electronics.
It is plainly obvious to just about anyone who has worked in the real world of Electronics,that a current meter in series with a circuit will affect the current in that circuit.
For
most practical purposes,however, the Amps range on a DMM can be regarded as an ideal Ammeter.
Although it is laudable to bring the various effects to the notice of beginners,it can send them "chasing their tails",
after things that have only a very peripheral bearing on the problem.
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