When performing Electrolysis, does the size of the 'anode' & 'cathode' (the electrodes) make a difference?

Question

Or is the size irrelevant, and the amount of gas produced is a direct result of the amount of energy used...

Answer 1

At the high school or even University student level, you can ignore the effect of size. At the research level (I used to do this), and at the level of industrial processes, size in fact does matter as it affects cell resistance and the kinetics of diffusion of ions to the electrodes. But it won't affect any of the usual calculations.

Answer 2

The only way the size would matter would if more of the anode or cathode was in contact with the solution, so it the surface area was increased, then yes. If the length of the anode/cathode was changed, and the surface area interacting with the solution did not change, then it would not affect them.

Answer 3

The energy passing through is what causes the release of the gas. The more, the merrier.

But no, size shouldn't matter.