A container has a base of 50\,{cm} × 5\,{cm} and height 50\,{cm}, as shown in the figure. It has two parallel electrically conducting walls each of area 50\,{cm} × 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 ε₀ = 9 × 10^{-12}\,{C}²\,{N}^{-1}\,{m}^{-2}, the effects of the non-conducting walls on the capacitance are negligible] [JEE Adv 2023 P1]

Question

Examsnet · Accepted Answer

Correct Answer is : 63 pF63\,{pF}63pF

JEE Advanced 2023 Paper 1 Solutions