A sphere has a surface uniformly charged with 3.30 C. At what distance from its center is the potential 4.50 MV

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A sphere has a surface uniformly charged with 3.30 C. At what distance from its center is the potential 4.50 MV

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Gia Bảo 4 years 2021-07-30T09:34:29+00:00 1 Answers 8 views 0

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    2021-07-30T09:35:39+00:00

    Answer:

    r = 6.6 x 10³ m = 6600 m

    Explanation:

    The potential at a distance from a charged sphere can be given as follows:

    V = \frac{kq}{r}\\\\r = \frac{kq}{V}

    where,

    r = distance = ?

    k = Colomb Constant = 9 x 10⁹ Nm²/C²

    q = charge on sphere = 3.3 C

    V = potential = 4.5 MV = 4.5 x 10⁶ V

    Therefore,

    r = \frac{(9\ x\ 10^9\ Nm^2/C^2)(3.3\ C)}{4.5\ x\ 10^6\ V}

    r = 6.6 x 10³ m = 6600 m

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