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27 March, 16:49

What is the electrostatic potential energy (in joules) between an electron and a proton that are separated by 54 pm?

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  1. 27 March, 17:24
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    The formula for calculating the electrostatic potential is given as:

    U = (1/4πε0) (qp * qe/r)

    where the variables are:

    ε0 = permittivity of space = 8.854187817620 * 10^-12 A^2⋅s^4⋅kg-1⋅m-3

    qp = charge of proton = 1.60217662 * 10-19 coulombs

    qe = charge of electron = - 1.60217662 * 10-19 coulombs

    r = distance between the two = 54 pm = 5.4 * 10-11 m

    So calculating for potential energy U:

    U = (1 / (4π*8.854187817620)) (1.60217662 * 10-19 * - 1.60217662 * 10-19 / 5.4 * 10-11)

    U = 5.33 x 10^-11 J
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