Question
i just need final answers for each part, i dont really need any explaination.thanks.
An infinitely long solid insulating cylinder of radius a = 5 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density p = 42 mu C/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 17.4 cm, and outer radius c = 21.4 cm. The conducting shell has a linear charge density lambda = -0.37mu C/m. What is Ey(R), the y-component of the electric field at point R, located a distance d = 56 cm from the origin along the y-axis as shown? What is V(P) - V(R), the potential difference between points P and R? Point P is located at (x, y) = (56 cm, 56 cm). What is V(c) - V(a), the potential difference between the outer surface of the conductor and the outer surface of the insulator? 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? The charge density of the insulating cylinder is now changed to a new value, p' and it is found that the electric field at point P is now zero. What is the value of p'?
Explanation / Answer
1)
-1.288*10^3 N/C
2)
250.12 V
3)
-7.39*10^3 V
4)
v(a) < 0
5)
0.375 uC/m^3