You are given a coaxial cylinder with inner radius R, 1 mm and outer radius R, =2 mm, filled with dielectric e=5e,. A voltage V, = 2V is applied to

the inner conductor, and the outer conductor is grounded. The length of the cylinder is much longer than the radius, and thus any fringing fields can be neglected. a. What is the spatial dependence of the electric scalar potential Vfor this problem? b. What are the boundary conditions that V must satisfy? c. Using the Laplace equation, determine the potential V in the region (R,