So much rests in accepting the meaning of potential difference and relating that to absolute potential...
Take me literally - we cannot go to a place infinitely far away to get a measurement.
Now, i often use exaggeration to put across a thought.
Absolute potential is, again, "
the work done in carrying a unit of positive charge from infinity to wherever you are measuring. "
Think about that.
I said in another thread , ,,,
'...when that concept finally sunk in i imagined myself walking all the way from Alpha Centauri to Miami Central High School , carrying a bucketfull of charge and tabulating the dynes of force every centimeter. (Nowadays it'd be Newtons every meter). '
Summing those F X D's would give me the absolute potential of Miami Central High School, assuming for all practical purposes Alpha Centauri is close enough to infinity...
so absolute potential is measured between here and infinity
that is, it's the potential difference between here and infinity
Since that's impractical to do
we must accept we can only measure potential difference between locations within our reach
I can 'settle' for that. "Settle for" means accept as reasonable compromise.i don't understand that sentence
absolutely. We can only measure potential difference. And only between points we can reach.
Grab a multimeter and a AA battery. You'll see in a hurry the meter reports about 1.5 volts potential difference between battery's ends.
But we've no idea what is the absolute potential of either end.
You said you don't like hydraulic analogies. Fine. They cause trouble if not used exactly right.
But we get imprinted by our experience growing up that measurements measure absolutely not differentially.
Tire pressure is described as let's say 35 psi. Not 50 psia inside the tire and 14,7 psia outside it, just the 35 psi difference. That's sloppy language. Fill a tire in Miami and drive to Denver it'll gain 2.5 psi.
It's really as simple as realizing we are imprinted to the oversimplification that measurements are just a number not a difference. But ruler has two ends , a pressure gage has an inside and an outside, and a voltmeter has two leads..
How to establish zero volts? Connect the black lead of your multimeter there. It's not zero absolute potential , it's your point of reference . If your black lead were long enough you could in principle hook it to alpha centauri and read absolute potential where you are with the red lead. But we always choose a more convenient reference point - local earth, chassis of our automobile, skin of an airplane, circuit common of an appliance, negative end of a AA battery ...
The simple old fashioned metal flashlight is a good thought tool for demonstrating elementary circuit theory, especially "grounding" .
Sorry to be so wordy - but when people show they're thinking about these things i try to share the struggles i had.