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A ring placed along $y^{2}$ + $z^{2}$ = 4, x = 0 carries a uniform charge of 5 $\mu$C/m. Find D at P(3,0,0)

Should I be using Gauss's Law to solve this problem? I was considering using a spherical Gaussian Surface, and then using the formula D = $\epsilon_0 $E to find D, but I'm not sure how to set up my integral.

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It's solved here for all (x,y,z). The correct approach for the scope of your problem should involve trig, Coulombs law, and some intuition. physics.stackexchange.com/questions/9830/… –  AlanSE Mar 5 '12 at 18:05

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You don't need Gauss' law. Coulomb's law will do the trick here along with some calculus.

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