In a parallel plate capacitor set up, the plate area of capacitor is 2 m^2 and the plates are separated by 1 m. If the space between the plates are…

In a parallel plate capacitor set up, the plate area of capacitor is $\displaystyle 2 \mathrm{~m}^2$ and the plates are separated by $\displaystyle 1$ m . If the space between the plates are filled with a dielectric material of thickness $\displaystyle 0.5$ m and area $\displaystyle 2 \mathrm{~m}^2$ (see fig) the capacitance of the set-up will be \_\_\_\_ $\displaystyle \varepsilon_{\mathrm{o}}$. (Dielectric constant of the material $\displaystyle =3.2$ ) (Round off to the Nearest Integer)