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Homework Statement
Two coaxial metal tubes (placed vertically) have an inner radius a and outer radius b. They are placed vertically between a dielectric oil (with susceptibility X and mass density p). The inner tube has potential V and the outer one is grounded (V=0). How high will the oil rise in the space between the tubes?
2. Homework Equations (and attempt at solution)
Starting with these equations is my attempt at a solution :P
[tex]\vec{p} = \epsilon_0 \chi \vec{E}[/tex]
[tex]h = \epsilon_0 (1 + \chi) \vec{E}
= \epsilon_0 \vec{E} + \vec{p} [/tex]
And the permittivity is
[tex]\epsilon_0 (1 + \chi)[/tex]
[tex]h[/tex] height of displacement
[tex]\vec{p}[/tex] electric dipole moment
[tex]\chi[/tex] susceptibility
[tex]\epsilon_0[/tex] permittivity in free space
[tex]\vec{E}[/tex] electric field
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