What do electric field lines provide information about?

Electric field lines never cross as the field no matter what point you take will have only one direction. If two lines met, there would be two tangents at that point, meaning two directions for the same field. That would make the field undefined there, which is physically impossible.

Electric field lines never form closed loops as we should know the electrostatic field is conservative. In a conservative field, the work done in moving a charge around any closed path is zero. If lines formed loops, a charge would keep gaining energy along the path, which breaks this rule of zero n