3. A hollow sphere is made of an insulating material, and has an inner radius R₁ of 10.00 cmand an outer radius R2 of 15.0 cm (the picture shows the cross section of the sphere). Thematerial has a uniform volume charge density of +15.0 μC/m³. Additionally, a negativecharge of -25 μC is located at the center. Use Gauss' Law to find the electric fields at thefollowing distances:WITDa) r = 5.00 cm from the centerb)r = 12.0 cm from the centerc)r = 50.0 cm from the centerR₂R₁a) E₁ =Q25×10-64πh Eor²=-8-99× 10' nb3.) E =இ4 FEor4π-8.85-10-12.05225.10.6D+2 in substance4 π1.8-85×10.12 0.12"= -1.50x w²m-4

c) For $ r = 50.0 $ cm:The charge enclosed within the Gaussian surface consists only of the…

Answered: 3. A hollow sphere is made of an…

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: 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) E = Q 25×10-6 4th Eor² 4π- 8.85-10-12.052 =8.99* 10th
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