I had a quick question on the electric potential between two points on a short circuit. I apologize if this question does not make sense or if I am using terms like, "electric potential" incorrectly. Let me know where I am incorrect in my thinking. I am trying to learn this material and it is becoming a challenge.
From what I understand, there exists a potential of sorts between the anode and the cathode terminal of a battery and that I am able to measure this potential with a Voltmeter. I have not been able to test this scenario in real life, since it involves a short circuit, but from what I understand, when the leads of the voltmeter are placed close to the battery terminals, there should be a reading indicating a presence of voltage. This example is shown in the first picture, and I am assuming that there would be a potential of 12 V present.
My question is, as we move the voltmeter test leads closer to one another, would there be an observable change in the potential?
I am making the assumption that as the test leads get closer together, the potential between these two points in space is getting lower and I should be able to measure this change in my voltmeter. Perhaps I do not fully understand what exactly a Voltmeter is measuring and how it relates to potential. Any help in understanding this scenario would be appreciated. Cheers.