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Flux across a sphere Consider the radial field F = x, y,
Chapter 14, Problem 32E(choose chapter or problem)
Flux across a sphere Consider the radial field \(\mathbf{F}=\langle x, y, z\rangle\) and let S be the sphere of radius a centered at the origin.
Compute the outward flux of F across S using the representation \(z=\pm \sqrt{a^{2}-x^{2}-y^{2}}\) for the sphere (either symmetry or two surfaces must be used).
Text Transcription:
F = langle x, y, z rangle
Z = pm sqrt a^2 - x^2 - y^2
Questions & Answers
QUESTION:
Flux across a sphere Consider the radial field \(\mathbf{F}=\langle x, y, z\rangle\) and let S be the sphere of radius a centered at the origin.
Compute the outward flux of F across S using the representation \(z=\pm \sqrt{a^{2}-x^{2}-y^{2}}\) for the sphere (either symmetry or two surfaces must be used).
Text Transcription:
F = langle x, y, z rangle
Z = pm sqrt a^2 - x^2 - y^2
ANSWER:Soluti