Consider a solid uniformly charged dielectric sphere where the charge density is
ID: 1340061 • Letter: C
Question
Consider a solid uniformly charged dielectric sphere where the charge density is give as . The sphere has a radius R. Say that a hollow of charge has been created within the sphere that is offset from the center of the large sphere such that the small ho llow has its center on the x axis where x = R/2. Using a standard frame where the large frame has its center at the origin, find the Electric field vector at the following points.
a. The origin
b. Anywhere inside the hollow (challenging)
c. x = 0, y = R
d. x = - R, y =0
Explanation / Answer
(a)
Along positive x axis
(b)
Radially inwards to the hollow sphere
(c)
Along positive along positive y-axis
(d)
Along negative x-axis