A parallel plate capacitor with plate area \( A \) and plate separation \( d \) is filled with a dielectric material of dielectric constant \( K = 4 \). The thickness of the dielectric material is \( x \), where \( x < d \).
Let \( C_{1} \) and \( C_{2} \) be the capacitance of the system for \( x = \dfrac{1}{3} d \) and \( x = \dfrac{2d}{3} \), respectively. If \( C_{1} = 2 \, \mu \text{F} \) the value of \( C_{2} \) is __________ \( \mu \text{F} \)
