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14 February, 15:10

How many excess electrons must be distributed uniformly within the volume of an isolated plastic sphere 29.0 cmcm in diameter to produce an electric field of 1000 N/CN/C just outside the surface of the sphere?

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  1. 14 February, 18:49
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    = 1.46 * 10 ¹⁰ electron

    Explanation:

    Given that

    E, Electric field = 1000N/C

    D, Diameter = 29cm

    r, radius = 0.145

    E = kq/r²

    → q = Er²/k

    q = (1000 * (0.145) ²) / (9 * 10⁹)

    q = 2.34 * 10⁻⁹C

    q = Ne

    where e = 1.6 * 10⁻¹⁹

    N = (2.34 * 10⁻⁹) / (1.6 * 10⁻¹⁹)

    = 1.46 * 10¹⁰ electron
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