For changing the capacitance of a given parallel plate capacitor, a dielectric material of dielectric constant K is used, which has the same area as…

For changing the capacitance of a given parallel plate capacitor, a dielectric material of dielectric constant $\displaystyle K$ is used, which has the same area as the plates of the capacitor. The thickness of the dielectric slab is $\displaystyle \frac{3}{4} d$, where ' $\displaystyle d$ ' is the separation between the plates of parallel plate capacitor. The new capacitance $\displaystyle \left(C^{\prime}\right)$ in terms of original capacitance $\displaystyle \left(C_0\right)$ is given by the following relation :