) An electric charge q is placed at the origin in 3-space. The resulting electric r field E is given by E(x, y, z) = here r(x, y, z) = (x, y, z) and r= ||r|| Find the flux of E out of the sphere of radius R centered at the origin Hint: Use F. dS F.ndS (Do not use Gauss' Theorem)

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An electric charge q is placed at the origin in 3-space. The resulting electric
r
field E is given by E(x, y, z) = q
r3
here r(x, y, z) = (x, y, z) and r= ||r||
Find the flux of E out of the sphere of radius R centered at the origin
Hint: Use
F. dS
F.ndS (Do not use Gauss' Theorem)
Transcribed Image Text:An electric charge q is placed at the origin in 3-space. The resulting electric r field E is given by E(x, y, z) = q r3 here r(x, y, z) = (x, y, z) and r= ||r|| Find the flux of E out of the sphere of radius R centered at the origin Hint: Use F. dS F.ndS (Do not use Gauss' Theorem)
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