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21 December, 06:40

The nuclei of large atoms, such as uranium, with 92 protons, can be modeled as spherically symmetric spheres of charge. the radius of the uranium nucleus is approximately 7.4*10-15m. part a what is the electric field this nucleus produces just outside its surface? express your answer using two significant figures.

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  1. 21 December, 06:52
    0
    Total number of Photons = 92.

    Radius of the Nucleus = 7.4 x 10^-15 m

    Charge of the nucleus = 1.6*10^-19.

    Total charge q = 92 x 1.6*10^-19 = 147.2 x 10^-19

    k = 9 x 10^9 N m^2 / C^2

    Electric field charge E = kq / r^2

    => E = (9 x 10^9 x 147.2 x 10^-19) / (7.4 x 10^-15) ^2

    => (1324.8 x 10^-10) / 54.76 x 10^-30 = > 24.19 x 10^20 N/C
  2. 21 December, 06:57
    0
    The formula for the electric field is written below:

    E = kQ/d²

    where

    k is the Coulomb's Law constant = 9*10⁹ N

    Q is the total charge

    d is the distance of the object from the center

    The charge of each proton is + 1.6*10⁻¹⁹ C. So,

    Q = 92 (+1.6*10⁻¹⁹ C) = 1.472*10⁻¹⁷ C

    So,

    E = (9*10⁹ N) (1.472*10⁻¹⁷ C) / (7.4*10 ⁻¹⁵ m) ²

    E = 2.42*10²¹ N/C
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