1- A parallel plate capacitor formed by a pair of rectangular plates, each measuring 1cm by 10cm, with a separation of 0.1 mm between them, is charged by a source to a 1000 V potential difference. The voltage source is then removed and, without discharging, the capacitor is placed in a vertical position with a container containing non-ionized water, with the smaller sides of the plates in contact with the liquid as shown in the figure. From energy considerations, show that water will rise between the plates. Despising others effects, determine the system of equations that can be used to calculate the height at which raises the water between the plates.

1- A parallel plate capacitor formed by a pair of rectangular plates, each measuring 1cm by 10cm, with a separation of 0.1 mm between them, is charged by a source to a 1000 V potential difference. The voltage source is then removed and, without discharging, the capacitor is placed in a vertical position with a container containing non-ionized water, with the smaller sides of the plates in contact with the liquid as shown in the figure. From energy considerations, show that water will rise between the plates. Despising others effects, determine the system of equations that can be used to calculate the height at which raises the water between the plates.