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 = TR 2. By correctly using Gauss's Law (OĒ•dā = enc/ ) find E for rR. 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
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 = TR 2. By correctly using Gauss's Law (OĒ•dā = enc/ ) find E for rR. 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
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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
2. By correctly using Gauss's Law (OĒ•dā = enc
Tenc) find E for r<R.
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 E everywhere (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 →∞.
7. A point charge Q (same as above) is held at rest 4R from the center of
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