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24 September, 22:12

Falling raindrops frequently develop electric charges. Does this create noticeable forces between the droplets? Suppose two 1.8 mg drops each have a charge of + 29 pC. The centers of the droplets are at the same height and 0.36 cm apart.

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  1. 24 September, 22:26
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    F = 5.83 10⁻¹⁷ N

    Explanation:

    The electric force is given by

    F = k q₁ q₂ / r²

    With Gauss's law electric field flow is equal to the charge inside the Gaussian surface, if we make a spherical surface around each drop, the force independent of small deformations due to air resistance

    q₁ = q₂

    F = 8.99 10⁹ (29 10⁻¹²) ² / (0.36 10⁻²) ²

    F = 5.83 10⁻¹⁷ N

    As the two drops have a charge of the same sign they repel
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