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shiyaharper
shiyaharper
02.07.2019 • 
Mathematics

According to coulomb's law, the electrostatic field e at the point (x,y,z) due to a charge q at the origin is given by the formula below. ( r = x i +y j +z k and q is a constant.) e (x,y,z) = q r r 3 (a) compute div e = 0 (b) let sa be the sphere of radius a centered at the origin and oriented outward. can we use the divergence theorem to find flux of e out of sa ? yes because e is not defined at the origin which is inside sa . yes because e satisfies the conditions of the theorem. yes because dive = 0 . no because dive = 0 . no because e is not defined at the origin which is inside sa .

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