Question

In class, we considered the spherical capacitor. Imagine a similar spherical capacitor, with a central spherical conductive electrode of radius = mm and a conductive spherical shell concentric of radius = mm. The space between the electrodes is filled with an insulator whose permittivity non-uniform varies according to = . The center electrode carries a surface charge density of 8(/). The outer shell carries the same amount of charge as what is on the central electrode, but of sign opposite. a. Determine the energy stored in this capacitor. b. Determine the capacitance of this capacitor.