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

Question

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.

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Khánh Gia 3 years 2021-07-22T12:45:15+00:00 1 Answers 89 views 0

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  1. Nho
    -1
    2021-07-22T12:47:10+00:00
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    Answer:

    Now e is due to the ring at a

    So

    We say

    1/4πEo(ea/ a²+a²)^3/2

    = 1/4πEo ea/2√2a³

    So here E is faced towards the ring

    Next is E due to a point at the centre

    So

    E² = 1/4πEo ( e/a²)

    Finally we get the total

    Et= E²-E

    = e/4πEo(2√2-1/2√2)

    So the direction here is away from the ring

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