The statement that resistance is the ratio between potential difference and current: In this case, Ohm's law is always correct (as it is always
possible to find a
value of resistance to match given values of current and voltage). However, in non-linear systems, the resistance will be a function of voltage. In
systems with hysteresis, the resistance will also depend on the past history of the voltage. In microscopic systems, there will also be random
fluctuations due to the discrete nature of the current. Therefore, Ohm's Law is always correct, but only as a mathematical construction, and not
as a reflection of physical reality. |