The limitations of Ohm's law are explained as follows:
This law cannot be applied to unilateral networks. A unilateral network has unilateral elements like diode,transistors etc., which do not have same voltage current relation for both directions of current.
Ohm's law is also not applicable for non – linear elements.
Non-linear elements are those which do not have current exactly proportional to the applied voltage, that means the resistance value of those elements changes for different values of voltage and current. Examples of non – linear elements are thyristor,electric arc, etc.
3.
Now, this law is valid for conductors only and that too at a constant temperature. The resistance of a conductor increases with temperature. Hence, for changing temperature the V-I graph for a conductor will be non-linear (not a straight line).