The conductivity of a weak electrolyte solution depends on the concentration of the solution. At low concentrations, the conductivity is low because there are fewer ions present to conduct electricity. As the concentration increases, the conductivity also increases because there are more ions present. However, the conductivity of a weak electrolyte solution will never be as high as the conductivity of a strong electrolyte solution because some of the compound's ions will always remain bound to the molecule.
Some examples of weak electrolytes include acetic acid, ammonia, and carbonic acid.