Yoy are presented with a coaxial cable of length L. The inner core has a uniform charge distrubution throughout its radius and its length of total charge Q. It is surrounded by an insulating sheath of a thickness that is 1/6 of the radius of the inner core. Surrounding that is an outer material that has a thickness of 1/2 of the radius of the inner core that has a uniform charge distribution throughout its radius and length of total charge - Q/3. Finally, there is an insulating sheath that has a thickness that is 1/6 of the radius of the inner core.
a.) Find the Electrostatic Potential in all radial regions (that is, ignore end effects at the ends of the wire.)
b.) Find the Electric Field in all radial regions. (that is, ignore end effects at the ends of the wire.)