3. A hollow sphere is made of an insulating material, and has an inner radius R₁ of 10.00 cm and an outer radius R2 of 15.0 cm (the picture shows the cross section of the sphere). The material has a uniform volume charge density of +15.0 μC/m³. Additionally, a negative charge of -25 μC is located at the center. Use Gauss' Law to find the electric fields at the following distances: WITD a) r = 5.00 cm from the center b) r = 12.0 cm from the center c) r = 50.0 cm from the center R₂ R₁ a) E₁ = Q 25×10-6 4πh Eor² =-8-99× 10' n b 3.) E = இ 4 FEor 4π-8.85-10-12.052 25.10.6 D +2 in substance 4 π1.8-85×10.12 0.12" = -1.50x w²m -4

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter25: Gauss’s Law
Section: Chapter Questions
Problem 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...
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3. A hollow sphere is made of an insulating material, and has an inner radius R₁ of 10.00 cm
and an outer radius R2 of 15.0 cm (the picture shows the cross section of the sphere). The
material has a uniform volume charge density of +15.0 μC/m³. Additionally, a negative
charge of -25 μC is located at the center. Use Gauss' Law to find the electric fields at the
following distances:
WITD
a) r = 5.00 cm from the center
b)
r = 12.0 cm from the center
c)
r = 50.0 cm from the center
R₂
R₁
a) E₁ =
Q
25×10-6
4πh Eor²
=-8-99× 10' n
b
3.) E =
இ
4 FEor
4π-8.85-10-12.052
25.10.6
D
+2 in substance
4 π1.8-85×10.12 0.12"
= -1.50x w²m
-4
Transcribed Image Text:3. A hollow sphere is made of an insulating material, and has an inner radius R₁ of 10.00 cm and an outer radius R2 of 15.0 cm (the picture shows the cross section of the sphere). The material has a uniform volume charge density of +15.0 μC/m³. Additionally, a negative charge of -25 μC is located at the center. Use Gauss' Law to find the electric fields at the following distances: WITD a) r = 5.00 cm from the center b) r = 12.0 cm from the center c) r = 50.0 cm from the center R₂ R₁ a) E₁ = Q 25×10-6 4πh Eor² =-8-99× 10' n b 3.) E = இ 4 FEor 4π-8.85-10-12.052 25.10.6 D +2 in substance 4 π1.8-85×10.12 0.12" = -1.50x w²m -4
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