Physics

Physics

Problem

Two co-axial conducting cylinders of same length ℓ\ell with radii 2R\sqrt{2}R and 2R2R are kept, as shown in the diagrams. The charge on the inner cylinder is QQ and the outer cylinder is grounded. The annular region between the cylinders is filled with a material of dielectric constant κ=5\kappa = 5. Consider an imaginary plane of the same length ℓ\ell at a distance RR from the common axis of the cylinders. This plane is parallel to the axis of the cylinders. Ignoring edge effects, the flux of the electric field through the plane is (ϵ0\epsilon_0 is the permittivity of free space): ![](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/be20401aedd44160803ce1865188f7b9/935eed7aa61f7777f62cfc032e11bee9_img.jpg) ![](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/9062e3177f9a4ee1813710465116f8ef/64662465bba247703fdec49c8f3309f9_img.jpg) (A) Q30ϵ0\frac{Q}{30\epsilon_0} (B) Q15ϵ0\frac{Q}{15\epsilon_0} (C) Q60ϵ0\frac{Q}{60\epsilon_0} (D) Q120ϵ0\frac{Q}{120\epsilon_0}

Browse the problem library