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Ohms law is a law; all conductors must obey it. A simple form of ohm's law is V = I / R. The only control a conductor has on this equation is in the 'R'. Super conductors, for example, have a resistance that approaches zero at certain termperatures. This does not mean that they break the law, though.

Answer

Ohm's Law describes a linear relationship between the potential difference across a conductor; it has nothing to do with the relationship between potential difference, current, and resistance.

The equation R = E/I is derived from the definition of the ohm, and not from Ohm's Law. This equation applies whether Ohm's Law is obeyed or not.

In fact, relatively few conductors obey Ohm's Law. Those that do are termed 'ohmic' or 'linear' conductors; those that don't are termed 'non-ohmic' or 'non-linear'.

Simply put, if the graph representing current plotted against a varying potential difference is not linear, then it ain't obeying Ohm's Law!

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