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24 December, 11:56

A spherical shell of radius 9.0 cm carries a uniform surface charge density σ = 9.0 nC/m2. The electric field at r = 9.1 cm is approximately

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  1. 24 December, 14:29
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    995.12 N/C

    Explanation:

    R = 9 cm = 0.09 m

    σ = 9 nC/m^2 = 9 x 10^-9 C/m^2

    r = 9.1 cm = 0.091 m

    q = σ x 4π R² = 9 x 10^-9 x 4 x 3.14 x 0.09 x 0.09 = 9.156 x 10^-10 C

    E = kq / r^2

    E = (9 x 10^9 x 9.156 x 10^-10) / (0.091 x 0.091)

    E = 995.12 N/C
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