Electricity does not have mass because electricity is just a flow of electrons and these electrons are already present in the conducting object. Therefore, the mass of the object remains the same independent of electricity.
In our everyday life, we can notice that the weight of the wire remains constant before and after applying current.
However, in the case of static charge, the surface of material gains extra electrons but the mass of the electron is almost negligible approximately 9.11× 10−31 kg. Therefore, it does not make sense to weigh the mass of electricity.