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(a) Find the flux is A - do passing through a spherical surface of radius a centered at the origin, for A = z i..-

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(a) Find the flux is A - do passing through a spherical surface of radius a centered at the origin, for A = z i..- + .1: ix . Use the transformation equations in spherical coordinates. (b) The surface integral is related to the volume integral Ir W24} dV over the volume enclosed by the surface. Do the two integrals give the same results? = | A . nds = 0 (zk + xi) . (sincospi + sindsingj + cos0k)a-sinddedo So I (acosok + asino cospi) . (sincospi + singsingj + costk)a sinoat = a3 (cos B + sin Ocos p)sin'ededd 4 8 = a3 15 8 = a3 15

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