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A container has a base of 50 cm $$\times$$ 5 cm and height 50 cm, as shown in the figure. It has two parallel electrically conducting walls each of area 50 cm $$\times$$ 50 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 cm$$^3$$ s$$^{-1}$$. What is the value of the capacitance of the container after 10 seconds?
[Given: Permittivity of free space $$\epsilon_0 = 9 \times 10^{-12}$$ C$$^2$$ N$$^{-1}$$m$$^{-2}$$, the effects of the non-conducting walls on the capacitance are negligible]
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