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1) What is E y (R), the y-component of the electric field at point R, located a

ID: 2274833 • Letter: 1

Question

1) What is Ey(R), the y-component of the electric field at point R, located a distance d = 44 cm from the origin along the y-axis as shown?

2) What is V(P)

An infinitely long solid insulating cylinder of radius a = 3.9 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density rho = 26 mu C/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 19.7 cm, and outer radius c = 23.7 cm. The conducting shell has a linear charge density lambda = -0.39 mu c/m.

Explanation / Answer

E at d= 44 cm will be

using gauss law

E.A= Qin/epsilon

E.2*pi*44 L = L*pie* (26*3.9^2 -0.39 (23.7^2-19.7^2 )*10^-12 /e0

E =18.51/r for r = 44CM E = 42.08

potential difrence B/W P AND R

= E(r1-r2)

int [18.51/r .dr ] 18.51 ln sqrt2 = 9.255