The Wet Condenser?!

A Parallel Plate Condenser is charged with a surface charge density σ=QA\displaystyle\sigma = \frac{Q}{A}. Due to a pipe leakage, water flows in. It is observed that the water surface rises to a height hh above the bottom plate.

Find the height hh (in cm) to which the water level rises.

Details and Assumptions:
\bullet ϵr=80\epsilon_r = 80
\bullet ρwater=1000Kg/m3\rho_{water} = 1000 Kg/m^3
\bullet g=9.8m/s2g = 9.8 m/s^2
\bullet σ=2μC/m2\sigma = 2 \mu C/m^2

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