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Two point charges are placed along a horizontal axis with the following values and positions: +6.0 µC at x = 0 cm and -24.0 µC at x = 60 cm. At what point along the x axis is the electric field zero?

  • physics -

    It won't be between the charges, because both charges produce an E-field in the same direction there. Look for it to be along the -X axis, at a point x = -a, where
    6/a^2 = 24/(60 + a)^2

    (60+a)/a = sqrt(4) = 2
    60/a + 1 = 2
    a = 60 cm

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