A parallel plate capacitor has plate area 100 m^2 and plate separation of 10 m. The space between the plates is filled up to a thickness 5 m with a…

A parallel plate capacitor has plate area $\displaystyle 100 \mathrm{~m}^2$ and plate separation of $\displaystyle 10$ m . The space between the plates is filled up to a thickness $\displaystyle 5$ m with a material of dielectric constant of $\displaystyle 10$ . The resultant capacitance of the system is '$\displaystyle x$' $\displaystyle \mathrm{pF}$. The value of $\displaystyle \varepsilon_0=8.85 \times 10^{-12} \mathrm{~F} . \mathrm{m}^{-1}$ The value of ' $\displaystyle x$ ' to the nearest integer is \_\_\_\_.