A simple model of a hydrogen atom is a positive point charge +e (representing the proton) at the center of a ring of radius a with negative charge −e distributed uniformly around the ring (representing the electron in orbit around the proton). Find the magnitude of the total electric field due to this charge distribution at a point a distance a
from the proton and perpendicular to the plane of the ring.
Express your answer in terms of variables e
, a, and the electric constant ϵ0.
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