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A water bridge refers to an experimental "flexible cable" made up of puredeionized water which can hang across two supports maintained with asufficiently large voltage difference. The resulting electric fields within thedeionized water flexible cable, maintain a tension which sustains the wateragainst the downward force of gravity. A detailed calculation of the waterbridge tension will be provided in terms of the Maxwell pressure tensor in adielectric fluid medium. General properties of the dielectric liquid pressuretensor are discussed along with unusual features of dielectric fluid Bernoulliflows in an electric field. Analogies between dielectric fluid Bernoulli flowsin strong electric fields and quantum Bernoulli flows in superfluids areexplored.

Theory of the Maxwell Pressure Tensor and the Tension in a Water Bridge