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Electricity and Magnetism

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Moderate

A Charged Drop in Equilibrium in an Electric Field

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A charged drop of fluid of radius $R=5.9\ \mu m$ and density $\rho=950$ kg/m$^3$ is initially suspended in perfect equilibrium, immersed in a vertical, downward electric field of magnitude $E=5.0\times 10^6$ N/C

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Calculate the magnitude and sign of the charge on the drop.

A

$q=1.6\times 10^{-16}$ C

B

$q=-1.6\times 10^{-18}$ C

C

$q=1.6\times 10^{-20}$ C

D

$q=-1.6\times 10^{-19}$ C