Question

2. An infinitely long circular cylinder of radius a and dielectric constant E is placed with its axis along the z-axis and is put in an electric field which would have been uniform in the absence of the cylinder, pointing along the x-axis (see figure). Find the total electric field at all points outside and inside the cylinder. Find the bound surface charge density.

Electrostatics problem

Answer 1

→ 0 →X x direction we need to Outside the cylinder, at all points, the electric field is uniform along Inside the cylinder, need to apply Bou (1), According to the bound is comtinmass accross the boundary Elx - E27E o Boundary conditions condition, the sceny tangential components of Heal electric field = is 'E. Ez z E 2 Along x direction electric field (2) According to the bound ndary condition, the normal (components of the Electric field is given by, Eiz- Ezza Ezz = 1 a E [9 = Surface Chaze dinsity [As Eiz zo n From Gauss's law, Edsa ads lu a z EE 4 Surface change density Please like of the answer is helpful! Have a nice day. Thank you.