Question

An infinitely long solid insulating cylinder of radius a = 5.5 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density rho = 25 mu C/m^3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 14.4 cm, and outer radius c = 17.4 cm. The conducting shell has a linear charge density lambda = -0.42 mu C/m. 1) What is E_y(R), the y-component of the electric field at point R. located a distance d = 41 cm from the origin along the y-axis as shown? N/C 2) What is V(P) - V(R), the potential difference between points P and R? Point P is located at (x, y) = (41 cm, 41 cm). 3) What is V(c) - V(a), the potential difference between the outer surface of the conductor and the outer surface of the insulator? 4) 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 5) The charge density of the insulating cylinder is now changed to a new value, rho' and it is found that the electric field at point P is now zero. What is the value of rho'? 6) Below is some space to write notes on this problem.

Answer 1

-6 lada 2 thea Ev (R) (Cla loi deita)/ chx2x Pǐ x 8.gsxt012) 12 here R Ou

VCe)-VUR)193.60672935 738 I2 13 3 are to cause arge l 2 0