A solid spherical conductor of radius a is surrounded by a concentric spherical conducting shell of inner radius b and outer radius c. The region between the conductors, a < r < b, is filled with a dielectric having dielectric constant 3. The region outside the outer conductor, r > c, is air. A charge of Q coulombs exists on the inner conductor only. Include proper units with your answers to parts (a), (b) and (c) below.
(a) Obtain the formula for the electric field vector, E,in EACH of the
DISTINCT regions of space occurring in this problem. Include with the answer the
specification of the regions and the formula for the electric field vector in the regionsand the formula for the electric field vector in the regions
For parts (b) and (c) below, Q = 1 nC. Also, a = 1 cm, b = 5 cm and c = 6 cm.
(b) What is the potential at the center of the inner conductor (numerical value)?
(c) What is the potential on the outer surface of the outer conductor (numerical value)?