It seems that water does not conduct an electrical current.
Further research with more sensitive equipment shows however that water is a conductor for electrical current, but in a very small extent. So even in pure water some ions are present, due to the autoionization of water.
2 H2O(l) H3O+(aq) + OH-(aq)
This equilibrium reaction is mostly written in a more simple way as:
H2O(l) H+(aq) + OH-(aq)
The equilibrium constant K of this equilibrium is very small. So the equilibrium state is positioned completely at the left. It is called the ion-product constant or dissociation constant of water and the value is 10-14 at 25°C:
As both ions (H3O+ = hydroniumion / H+ = hydrogen ion or proton and OH- = hydroxide ion) are formed simultaneously:
[H+] is not always equal to [OH-]. There are three possible situations: