Avariable dielectric capacitive displacement sensor consists of 2 square metal plates w=6 cm separated by a gap of 1 mm. a sheet of dielectric material 1 mm thick and of the same area as the plates can be slid between them as shown in figure. given that the dielectric constant of air e1 is 1 and that of the dielectric material e2 4, calculate the capacitance of the sensor when the input displacement x 0.5, 2.5 and 5 cm.