CHALLENGE PROBLEM: A non-conducting sphere of uniform charge density p = +6 mu C
ID: 1430300 • Letter: C
Question
CHALLENGE PROBLEM: A non-conducting sphere of uniform charge density p = +6 mu C/m^3 and outer radius R = 15 m has a smaller spherical cavity of radius a = 5 m cut out of its interior. This cavity is not centered- the center of the larger sphere and the center of the cavity are a distance b = 6 m apart, as shown below. Find the electric field inside the cavity at the following locations: A distance of a/2 to the left of the cavity's center. E=f "1N/Ci+f infinity1 N/C j. N/Ck A distance of a/2 above the cavity's center. E=f 1N/Ci+| infinity infinity| N/C j N/CK Repeat part a, if this object were instead a conductor which has the same total charge. E- infinityN/Ci+f infinity| N/C j+p H N/C kExplanation / Answer
for any cavity point field = rho x b/(3 x epsilon0) i^
a) E = 6 x 10-6 x 6/(3 x 8.85 x 10-12) i^ = 1.356 x 106 N/C i^
b) E = 6 x 10-6 x 6/(3 x 8.85 x 10-12) i^ = 1.356 x 106 N/C i^
c) E = 0