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Conductors and Dielectrics in an Electric Field

Problem 3.87

Two small identical balls carrying the charges of the same sign are suspended from the same point by insulating threads of equal length. When the surrounding space was filled with kerosene the divergence angle between the threads remained constant. What is the density of the material of which the balls are made?

Reveal Answer
ρ=ρ0ε/(ε−1)=1.6 g/cm3, where ε and ρ0 are the permittivity and density of kerosene. \rho=\rho_{0} \varepsilon /(\varepsilon-1)=1.6 \mathrm{~g} / \mathrm{cm}^{3}, \text { where } \varepsilon \text { and } \rho_{0} \text { are the permittivity and density of kerosene. }
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