Question: A rubber flying ring having a diameter of (20 mathrm{~cm}) is fixed to the (x y)-plane of the Cartesian coordinate system such that its geometric

A rubber flying ring having a diameter of $20 \mathrm{~cm}$ is fixed to the $x y$-plane of the Cartesian coordinate system such that its geometric center lies on the origin. The ring is uniformly charged with $+10 \mu \mathrm{C}$.

(a) What is the magnitude of the electric field at $10 \mathrm{~cm}$ on the z-axis?

(b) What is the magnitude of the electric field at the origin?

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