Do the ohm's law applies to all types of electrical circuits?

No. Ohm's Law only applies to linear or ohmic circuits. Ohm' Law is a law of constant proportionality -that is, the ratio of voltage to current must be constant over a wide range of voltage variation. In other Words, if you varied the voltage and measured the resulting current, the result would be a linear (straight line) graph. If the resulting graph is not a straight line, then the ratio of voltage to current is not a constant, so Ohm's Law does not apply -such circuits are called 'non-linear' or 'non-ohmic'. Most metal conductors obey Ohm's Law over a reasonably-wide variation in applied voltages, but many don't -for example, tungsten does not obey Ohm's Law. Many electronic circuits, including diodes, etc., are non-linear, as are electrolytes.

The equation R = V/R applies in all circumstances -it will always tell you what the circuit's resistance happens to be for that particular ratio of voltage to current. It must be understood that this equation is NOT, as many think, 'the equation for Ohm's Law', but is derived from the definition of the ohm.