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The rain-soaked shoes of a man may explode if ground current from nearby lightning vaporizes the water. The sudden conversion of water to water vapor causes a dramatic expansion that can rip apart shoes. Water has density 1000 kg/m3 and requires 2256 kJ/kg to be vaporized. If horizontal current lasts 2.00 millisecond and encounters water with resistivity 165 Ω•m, length 12.0 centimeter, and vertical cross-sectional area 1.6 10-4 m2, find what average current is required to vaporize water?

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