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This paper discusses the influence of the discharge current on the compressive shock waves generated by supersonic and subsonic discharges in water gap. The two different ways leading to dielectric breakdown in a water gap will be investigated. The transition phase between the two breakdown modes depends on the electric field and the electrical energy switched. The shock waves associated to breakdowns in water gap will be studied. Whatever the water breakdown mode will be, the peak pressure linearly depends from the peak current. For a constant peak current, the peak pressure value increases with increasing gap length. Moreover, the electro-acoustic efficiency is better using a supersonic discharge.