Two long, coaxial, cylindrical conducting surfaces of radii a and b are lowered vertically into a liquid

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Two long, coaxial, cylindrical conducting surfaces of radii a and b are lowered vertically into a liquid dielectric. If the liquid raises an average height h between the electrodes when a potential difference V is established between them, show that the susceptibility of the liquid is

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Where ρ is the density of the liquid, g is the acceleration due to gravity, and the susceptibility of air isneglected.

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