A long cable with cylindrical cross section has inner conductor of radius a and an outer conductor of inner radius b and outer radius c. The dielectric constant of the material between the conductors is 3. The potential on the inner conductor is VO and the potential on the outer conductor is 0.
a)solve Laplace's equation in the dielectric region between the inner and outer conductors to find the potential V(r) in the region a <= r <= b.
b)Find the formula for the electric field intensity E in the region a <= r <= b.
c)Find the magnitude of the electric field intensity on the inner conductor surface if VO = 10 volts, a = 1mm, b = 5mm, and c = 6mm.