Electric flux density in dielectrics. A point charge is located in free space. The charge is surrounded by a spherical shell, with inner diameter r1 , outer diameter r2 , and permittivity e. Calculate:
(a) The electric flux density everywhere in space.
(b) The electric field intensity everywhere in space.
(c) The total electric flux passing through the outer surface of the dielectric shell.
(d) The total flux passing through the inner surface of the dielectric.
(e) The total flux through a spherical surface of radius R > r2 , in air.
(f) What is your conclusion from the results in (c), (d), and (e)?