1. The problem statement, all variables and given/known data 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]. 2. Relevant equations The dielectric constant is [itex] \kappa = 1 + \chi_e = \epsilon/\epsilon_0 [/itex] in linear media. 3. 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.