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19 February, 04:01

Calculate the magnitude of the electric field 9.25 cm from the center of the sphere. Answer in units of N/C.

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  1. 19 February, 04:17
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    For a solid sphere; r > R

    E = Q/4πεor^2

    r = 9.25 cm = 0.0925m

    plugging the values into the formula;

    Volume within sphere of radius 9.25 cm = 4/3π X (0.0925 m) ^3

    Charge per unit volume = 21.2/[4/3π X (0.0925m) ^3] µC

    = 6.39µC

    By Coulomb's law,

    the electric field = 9 X 10^9 X 6.39 X 10^-6 / (0.0925) ^2

    = 9 X 10^9 X 6.39 X 10^-6/0.0925^2

    = 672.14KN/C
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