This was a very interesting conversation. I hope the OP found it useful. I think the missing link to understanding is resistance.
I agree, it is very interesting as well.
Ohms law does not make sense without resistance just as an understanding of volts vs amps does not make sense without resistance.
Believe it or not, the equation that we ordinarily think of as Ohm's law, isn't really Ohm's law the way that Georg Ohm developed the law.
V=I*R is really a transposed formula of the definition of resistance.
Ohm's law is that resistance is a property of the material, that is independent of I and V. Instead, resistance is a function of geometry, temperature and the material's electrical properties.
If Ohm's law weren't typically true in most simple examples, the concept of resistance and a formula such as V=I*R wouldn't be very useful. So it makes complete sense that V=I*R is taught as Ohm's law. In the water analogy that we all use as an introduction to the concept, the relationship between flow rate and pressure difference is extremely non-linear. As a result, the concept of hydraulic resistance is usually abandoned in fluids engineering, for formulas that more closely match the way to keep track of experimental results.
As it was already explained the reason the 6v battery is more hazardous is the internal resistance. The larger capacity 6v battery has lower resistance than the 9v battery.
I never thought of it this way. In this example, I suppose it really is the terminal operating voltage of the battery that matters, for directly determining the amps through your body.
So I would say it is not only amps that kills you. You can be killed depending on the resistance of your body which is placed across a difference of potential for a length of time in which sufficient current flows through vital organs.
Well, damage to a standard Ohmic resistor is due to the Watt rating being exceeded, and the component overheating. So I would expect that Watts would matter most.
A human body is a lot more complex than a simple Ohmic resistor. A human body will obey Ohm's law in most situations that are relatively safe, and current alone is probably an accurate enough metric of danger in the safe regime. But comparing it to situations that are fatal or permanently damaging, I would not expect the body to have the same Ohmic resistance it has in a safe situation of shock, and I would expect that the damage to the skin would exacerbate the problem by reducing the body's resistance to much less.