Calculations of the electrostatic field of DNA in two very different double helical conformations, A and Z, are reported and compared with the results previously obtained for B-DNA. Striking contrasts between these fields and the associated electrostatic potentials are brought into evidence. One of the major differences is that while the deepest potentials are generally located in the grooves of DNA, the strongest fields are associated with the phosphate groups. The results of screening the nucleic acids by counterions are also presented.