The Wet Condenser?!

Electricity and Magnetism Level 4

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

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

Details and Assumptions:
\(\bullet\) \(\epsilon_r = 80\)
\(\bullet\) \(\rho_{water} = 1000 Kg/m^3\)
\(\bullet\) \(g = 9.8 m/s^2\)
\(\bullet\) \(\sigma = 2 \mu C/m^2\)


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