A container has a base of \( 50 \, \text{cm} \times 5 \, \text{cm} \) and height \( 50 \, \text{cm} \), as shown in the figure. It has two parallel electrically conducting walls each of area \( 50 \, \text{cm} \times 50 \, \text{cm} \). The remaining walls of the container are thin and non-conducting. The container is being filled with a liquid of dielectric constant \( 3 \) at a uniform rate of \( 250 \, \text{cm}^3 \, \text{s}^{-1} \). What is the value of the capacitance of the container after \( 10 \) seconds?
[Given: Permittivity of free space \( \varepsilon_0 = 9 \times 10^{-12} \, \text{C}^2 \, \text{N}^{-1} \, \text{m}^{-2} \), the effects of the non-conducting wall on the capacitance are negligible] 
