2. Consider the radially symmetric flux field j = where F= ri + y) + zk. (a) Show that the total flux through any closed surface that does not enclose the origin vanishes. (b) Show that the flux through any sphere centered at the origin is independent of the sphere radius.

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2. Consider the radially symmetric flux field
j =
where = xi + yj + zk.
(a) Show that the total flux through any closed surface that does not enclose the
origin vanishes.
(b) Show that the flux through any sphere centered at the origin is independent of
the sphere radius.
Transcribed Image Text:2. Consider the radially symmetric flux field j = where = xi + yj + zk. (a) Show that the total flux through any closed surface that does not enclose the origin vanishes. (b) Show that the flux through any sphere centered at the origin is independent of the sphere radius.
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