Exploding shoes . The rain-soaked shoes of a person mayexplode if ground current

Question

Exploding shoes. The rain-soaked shoes of a person mayexplode if ground current from nearby lightning vaporizes thewater. The sudden conversion of water to water vapor causes adramatic expansion that can rip apart shoes. Water has density 1000kg/m3 and requires 333 kJ/kg to be vaporized. Ifhorizontal current lasts 2.01 ms and encounters water withresistivity 183 ·m, length 14.8 cm, and verticalcross-sectional area 15.5 ×10-5 m2, what average current (in A) isrequired to vaporize the water?
P.S. I promise to rate my responses. I didn't realize that itmeant that much and I didn't rate 2 responses in 2007. Sorry!Thanks!
P.S. I promise to rate my responses. I didn't realize that itmeant that much and I didn't rate 2 responses in 2007. Sorry!Thanks!

Explanation / Answer

Mass of the water m= gV g= 1000 kg/m3 R=  e L/A   ;e=183 ·m P= I2R Energy E required to vaporize the water is heat Q and it is Q=m C v also since P=E/t then Q=Pt we have mCv = I2R t gV Cv = I2(e L/A ) t I = [ (gVCv )/(t e L/A )] Oh and V= 0.148 x 15.5 × 10-5m3 and make sure Cv=333000 J/kg Just plug and play. Please let me know if you have any further questions. R=  e L/A   ;e=183 ·m P= I2R Energy E required to vaporize the water is heat Q and it is Q=m C v also since P=E/t then Q=Pt we have mCv = I2R t gV Cv = I2(e L/A ) t I = [ (gVCv )/(t e L/A )] Oh and V= 0.148 x 15.5 × 10-5m3 and make sure Cv=333000 J/kg Just plug and play. Please let me know if you have any further questions.

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