It's Ok. I understand. You can follow the same topic in besslerwheel.com/forum. For your convenience the greater part of the post there is given below.

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Let us assume that the energy consumed by the standard water-splitting electrolyzer is just equal to the sum of (a) the Joule's heat and (b) the heat, generated by the burning/exploding of the released hydrogen. Therefore we can write down the equality

V x I x t = (I x I x R x t) + (Z x I x t x (HHV)) (1)

where

V = DC source voltage

I = DC current

R = Ohmic resistance

t = time

Z = electrochemical equivalent of hydrogen

HHV = higher heating value of hydrogen

Therefore we can write down the inequalities

V x I x t > I x I x R x t (2) <=> V > I x R (3) <=> V/R > I (4).

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The last inequality (4) unambiguously shows that Ohm's law is not valid for liquid resistors.

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The above considerations are not very precise however. In order to be precise enough we have to introduce the quantities v an i. In other words, we must write down the equality

(V - v) x (I - i) x t = ((I - i) x (I - i) x R x t)+(Z x (I - i) x t x (HHV)) (5)

where

V = DC source voltage

I = DC current

R = Ohmic resistance

t = time

Z = electrochemical equivalent of hydrogen

HHV = higher heating value of hydrogen

v = minimum voltage necessary for the water-splitting electrolysis to begin

i = the related small decreasing of current I, caused by the presence of v.

And from here we can write down the inequalities

(V - v) x (I - i) x t > (I - i) x (I - i) x R x t (6) <=>

<=> V - v > (I -i) x R (7) <=> (V - v)/R > I - i (

.

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The last inequality (

shows again that Ohm's law is not valid for liquid resistors.

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It is evident that if V is much bigger than v (and I much bigger than i, respectively), then v and i can be neglected and in this case inequality (

can be replaced with

inequality (4).

In one word, if equalities (1) and (5) are valid, then inequalities (4) and (

are valid too. But this means that Ohm's law is not valid for liquid resistors.

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Ohm's law is the most basic and most fundamental axiom of electric engineering. No Ohm's law -- no electric engineering. Therefore equalities (1) and (5) are not valid and this fact confirms again the validity of our basic OU water-electrolysis-related concept, which is considered in this topic.

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Looking forward to your answer.