- #1
monnomestalex
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Homework Statement
Two long, hollow, and coaxial conducting cylinders, with radii [itex] a [/itex] and [itex] b>a [/itex], are lowered into a tub of fluid with dielectric constant [itex] \kappa [/itex]. A voltage [itex] V [/itex] is applied between the two cylinders. The fluid is observed to rise up some height [itex] h [/itex] into the volume between the cylinders. Calculate [itex] h [/itex].
Homework Equations
The dielectric constant is [itex] \kappa = 1 + \chi_e = \epsilon/\epsilon_0 [/itex] in linear media.
The Attempt at a Solution
I am not sure I understand the physics behind the phenomena. This is a PhD quals question that requires only undergraduate E&M knowledge, so it shouldn't be too farfetched, but I do not know where to start.