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Short explanation of this phenomenon: Electric field lines like to stay in water, which has high dielectric constant. Breaking the water bridge would force them to go through air, which is much more energetically costly.
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When a high voltage is applied to pure water filling two beakers kept close to each other, a water bridge forms bit.ly/2wafXZb
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Alternate, equivalent, explanation: Water molecules like to align head-to-tail, which lowers their energy. An electric field helps them do so. So the molecules are willing to defy gravity in order to remain in the presence of an electric field that helps them align.
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