Loking asked in 科學數學 · 9 years ago

flux calculation

find the flux of F=( x-y+z , y-z+x , z-x+y ) outward through the cone z=sqrt(x^2+y^2) , 0<=z<=2

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  • 9 years ago
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    div(F)= 1+1+1=3

    ∫∫ F∙n dA=∫∫∫ div(F) dV = 3*(1/3)π*2^2 * 2 = 8π

    Note: The volume of the cone = (1/3)*π*R^2*h= (1/3)π*4*2= (8/3)π

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