12) A hollow, insulating spherical shell has charge spread uniformly throughout its volume with a total charge of Q = 4 μC. The inner radius is r₁ = 0.10 m and the outer radius is r₂ = 0.20 m, as shown. (a) What shape should you choose for a Gaussian surface to help you find the electric field at various points in or near this charge distribution? Explain. (b) Determine the magnitude of the electric field at r = 0.05 m (inside the hollow region). (c) Determine the magnitude of the electric field at r = 0.15 m (inside the insulating material). 12 r1 cross section of a spherical shell (d) Determine the magnitude of the electric field at r = 0.25 m (outside the entire thing).

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter19: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 75P: A solid, insulating sphere of radius a has a uniform charge density throughout its volume and a...
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12) A hollow, insulating spherical shell has charge
spread uniformly throughout its volume with a
total charge of Q = 4 μC. The inner radius is
r₁ = 0.10 m and the outer radius is r₂ = 0.20 m,
as shown.
(a) What shape should you choose for a
Gaussian surface to help you find the electric
field at various points in or near this charge
distribution? Explain.
(b) Determine the magnitude of the electric field
at r = 0.05 m (inside the hollow region).
(c) Determine the magnitude of the electric field
at r = 0.15 m (inside the insulating material).
12
r1
cross section of a spherical shell
(d) Determine the magnitude of the electric field at r = 0.25 m (outside the entire
thing).
Transcribed Image Text:12) A hollow, insulating spherical shell has charge spread uniformly throughout its volume with a total charge of Q = 4 μC. The inner radius is r₁ = 0.10 m and the outer radius is r₂ = 0.20 m, as shown. (a) What shape should you choose for a Gaussian surface to help you find the electric field at various points in or near this charge distribution? Explain. (b) Determine the magnitude of the electric field at r = 0.05 m (inside the hollow region). (c) Determine the magnitude of the electric field at r = 0.15 m (inside the insulating material). 12 r1 cross section of a spherical shell (d) Determine the magnitude of the electric field at r = 0.25 m (outside the entire thing).
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