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10 August, 10:40

A source charge of 3 µC generates an electric field of 2.86 * 105 N/C at the location of a test charge. Using k = 8.99 * 109N. m^2/c^2, what is the distance, to the

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  1. 10 August, 12:43
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    Variables:

    Source charge, Q = 3 micro C = 3 * 10^ - 6 C

    E = electric field = 2.86 * 10 ^5 N/C

    K = 8.99 * 10^9 N * m^2 / C

    d = distance = ?

    Formula:

    E = K * Q / (d^2) = > d^2 = K * Q / E

    => d^2 = 8.99 * 10^9 N * m^2 / C * 3 * 10^ - 6 C / (2.86 * 10^ 5 N/C)

    d^2 = 9.43 * 10 ^ - 2 m^2

    => d = 3.07 * 10^-1 m

    Answer: 0.307 m

    Note: it is a long distance due to the Electric field is very low
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