An infinitely long solid insulating cylinder of radius a = 5.6
cm is positioned with its symmetry axis along the z-axis as shown.
The cylinder is uniformly charged with a charge density _ = 25
_C/m3. Concentric with the cylinder is a cylindrical
conducting shell of inner radius b = 14.5 cm, and outer radius c =
17.5 cm. The conducting shell has a linear charge density _ =
-0.41_C/m.
1. What is V(P) V(R), the potential difference between points
P and R? Point P is located at (x,y) = (42 cm, 42 cm).
2. What is V(c) – V(a), the potentital difference between the
outer surface of the conductor and the outer surface of the
insulator?
3. Defining the zero of potential to be along the z-axis (x = y
= 0), what is the sign of the potential at the surface of the
insulator? V(a) < 0 V(a) = 0 V(a) 0
4. The charge density of the insulating cylinder is now changed
to a new value, _ and it is found that the electric field at point
P is now zero. What is the value of _?
(0,d) Pod,d)
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