edugen.wileyplus.com/edugen/student/mainfr.uni MESSAGE MY INSTRUCTOR FULL SCREEN

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edugen.wileyplus.com/edugen/student/mainfr.uni MESSAGE MY INSTRUCTOR FULL SCREEN PRINTER VERSION BAck NEXT OURCES oblem oblem oblem mm oblem oblem Chapter 26, Problem 036 The figure shows a swimmer at distance D . 34.0 m from a lightning strike to the water, with current 1-78.0 kA. The water has resistivity 30 -m, the width of the swimmer along a radial line from the strike is 0.900 m, and his resistance across that width is 6.50kf·Assume that the current spreads 6.50 k2. Assume that the current spreads through the water over a hemisphere centered on the strike point. What is the current through the swimmer? roblem Number Units the tolerance is +/-9% GO TUTORIAL Version 4.17.3 3 om/edugen/shared/jass

Explanation / Answer

E = rho*J = rho*I/2pi*r^2 ( hemisphere area = 2pi*r^2)

The potential difference between a point at radial distance D and a point at D + dr is

V = -integration E.dr from D to D+dr

V = (rho*I/2pi )* (1/D+dr - 1/D) = -(rho*I/2pi)*dr/(D*(D+dr)

i = |V|/R =  (rho*I/2pi*R)*dr/(D*(D+dr)

i = [30 * 78 * 10^3 / 2pi * 6.5 x 10^3) ] * [0.900/34*(34+0.900)]

i = 0.043457 A

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