Now the sphere from above is surrounded by a thick concentric conducting shell of inner radius 2R, outer radius 3R and net charge 2Q. (note that the space between R and 2R is empty). (probs. 4-7) 2R 4. Find E everywhere (all regions 0 R where V →0 as r →∞. 7. A point charge Q (same as above) is held at rest 4R from the center of this structure (assumed fixed in place) and released. Find an expression for its speed once it is 8R away

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Questions 5, 6, and 7

A solid sphere of total charge Q and radius R has a charge/volume p(r) = ar. a is a constant. (probs.
1-3).
1. Show that a =
2. By correctly using Gauss's Law (OĒ•dã = Tenc/ ) find E for r<R.
%3D
3. Find E for r>R.
Now the sphere from above is surrounded by a thick concentric conducting
shell of inner radius 2R, outer radius 3R and net charge 2Q. (note that the
space between R and 2R is empty). (probs. 4-7)
2R
4. Find Eeverywhere (all regions 0<r<∞)
5. Describe the location and magnitude of any charges not on the center
sphere.
6. Find V in the region r >R where V →0 as r →0.
7. A point charge Q (same as above) is held at rest 4R from the center of
this structure (assumed fixed in place) and released. Find an expression for its speed once it is 8R
away.
Transcribed Image Text:A solid sphere of total charge Q and radius R has a charge/volume p(r) = ar. a is a constant. (probs. 1-3). 1. Show that a = 2. By correctly using Gauss's Law (OĒ•dã = Tenc/ ) find E for r<R. %3D 3. Find E for r>R. Now the sphere from above is surrounded by a thick concentric conducting shell of inner radius 2R, outer radius 3R and net charge 2Q. (note that the space between R and 2R is empty). (probs. 4-7) 2R 4. Find Eeverywhere (all regions 0<r<∞) 5. Describe the location and magnitude of any charges not on the center sphere. 6. Find V in the region r >R where V →0 as r →0. 7. A point charge Q (same as above) is held at rest 4R from the center of this structure (assumed fixed in place) and released. Find an expression for its speed once it is 8R away.
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