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A small drop of water is suspended motionless in air by auniform electric field

ID: 1738409 • Letter: A

Question

A small drop of water is suspended motionless in air by auniform electric field that is directed upward and has a magnitudeof 8480 N/C. the mass of the water drop is 3.50e-9 kg.(a) Is the excess charge on the water drop poistive or negative?Why? (b) How many excess electrons or protons reside on thedrop? A small drop of water is suspended motionless in air by auniform electric field that is directed upward and has a magnitudeof 8480 N/C. the mass of the water drop is 3.50e-9 kg.(a) Is the excess charge on the water drop poistive or negative?Why? (b) How many excess electrons or protons reside on thedrop?

Explanation / Answer

(a)    as the net force on the droplet is zero, andthe weight of magnitude W points downward, the electric force ofmagnitude
   must point upward. Since the electric fieldpoints upward, the excess charge on the droplet must bepositive in order for
   the force F to point upward. (b)    here we use    m g = E q    the magnitude of the excess charge on thedroplet is    |q| = m g / E         = ......... C    (q) (1 proton / 1.602 x 10-19 C) =.......... protons (b)    here we use    m g = E q    the magnitude of the excess charge on thedroplet is    |q| = m g / E         = ......... C    (q) (1 proton / 1.602 x 10-19 C) =.......... protons