JEE Advanced 2023 Paper 1 Solutions

A container has a base of 50‌cm×5‌cm and height 50‌cm, as shown in the figure. It has two parallel electrically conducting walls each of area 50‌cm×50‌cm. 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 250cm3 s−1. What is the value of the capacitance of the container after 10 seconds?
[Given: Permittivity of free space ε0=9×10−12C2N−1m−2, the effects of the non-conducting walls on the capacitance are negligible]