Is there current even with huge resistances?

Pharrahnox
If I had a AA battery hooked up to both my hands, positive to my right hand and negative to my left hand, I would expect the resistance to be huge, maybe in the millions of ohms?

According to Ohm's Law, if you have a voltage, and the resistance is not infinite, then there is a current, no matter how miniscule. Is there something else that needs to be taken into account in the case of my question? Maybe an energy threshold is required to be overcome, so the electricity can "make a path".

Mentor
There is always a current - even if you don't connect anything to the battery, the casing and even the air conduct tiny currents.

Millions of ohms is a good estimate for dry skin (two connections) - something like 1-20 MOhm. That gives nA to µA, and it is possible to measure that current with good ammeters.

1 person
Pharrahnox
This might be completely wrong, but would that mean that if I am near an electric circuit, or even kilometres away, that some of that current would be going through me, as I am in parallel with it?

mrspeedybob
At some point you're going to have to make a determination about how many individual electrons flowing in what amount of time you consider to be a current.

Is an average 1 electron per hour a very small current or a collection of discrete events separated by an average interval? In the case where the circuit is very distant you may find that there is a calculable probability of a single electron from that circuit finding a path through your body over the entire course of the batteries discharge cycle. At what probability do you consider yourself part of the circuit? These determinations are going to depend on the design and purpose of your circuit.

1 person
Pharrahnox
Ok, thankyou both for your help and explanations, it is still weird to think that a AA battery has any affect on me though... Thanks again.