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Mathematics, 12.12.2019 05:31 billydeck30

Define e_r(x, y, z) = where r = sqrt( x^2 + y^2 + z^2) and (x, y, z) 6= (0, 0, 0). the function er is often called the unit radial vector.

(a) show that the flux of f = e_r/r^2 through a sphere centered at the origin is independent of the radius of the sphere.
(b) calculate the flux of f through the disk d (oriented in the direction of the positive x-axis) of radius 3 parallel to the y − z plane and centered at (4, 0, 0).

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Define e_r(x, y, z) = where r = sqrt( x^2 + y^2 + z^2) and (x, y, z) 6= (0, 0, 0). the function er i...
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