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Gauss' Theorem - Net Flux Out - Comparing two vector Fields
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[QUOTE="Master1022, post: 6321804, member: 650268"] Thank you for your reply. Yes, I agree about the y and z terms. For the x- term of the divergence, it is linear in [itex] x [/itex]. So am I correct in thinking that its contribution will be less for the shifted sphere? I think this might be the case because the 'more positive side' of the shifted sphere will give almost twice its original contribution, but the side nearest the origin will now give a -ve contribution as the divergence will oppose the normal surface vector. Hence the sum of these two contributions will be [itex] < 2 \times arbitrary [/itex] [itex] unit [/itex] In the original case, the x component of [itex] \nabla \cdot \vec F [/itex] was alligned with the normal vector at both 'ends' of the sphere and thus giving [itex] = 2 \times arbitrary [/itex] [itex] unit [/itex] [/QUOTE]
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Gauss' Theorem - Net Flux Out - Comparing two vector Fields
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