9. A long solid insulating cylinder with radius a carries a uniform charge distribution p. Concentric with this solid cylinder is a long insulating cylindrical shell with inner radius b and outer radius c, and carries a non-uniform charge distribution, p(r) = α 1, r where a > 0 and r is measured outward from the center of two cylinders. a. What are the units of a, assuming p and r are in SI units? b. Find the electric field (magnitude and direction) in the following regions: i. 0c E = fr 2E. +â

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Chapter1: Units, Trigonometry. And Vectors
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ii. E =
iv.
9.
A long solid insulating cylinder with radius a carries a uniform charge distribution p.
Concentric with this solid cylinder is a long insulating cylindrical shell with inner
radius b and outer radius c, and carries a non-uniform charge distribution,
p(r)
where a > 0 and r is measured outward from the center of two cylinders.
a. What are the units of a, assuming p and r are in SI units?
b. Find the electric field (magnitude and direction) in the following regions:
i. 0<r <a
ii. a <r<b
iii. b <r < C
iv. r>c
P
240
dols
pa² + 2+ (c-b)
2 805
α
12
==
r
P
1, E = f f
r
24
+ô
E = Pa² + 2x (r-b)
28or
tr
Transcribed Image Text:ii. E = iv. 9. A long solid insulating cylinder with radius a carries a uniform charge distribution p. Concentric with this solid cylinder is a long insulating cylindrical shell with inner radius b and outer radius c, and carries a non-uniform charge distribution, p(r) where a > 0 and r is measured outward from the center of two cylinders. a. What are the units of a, assuming p and r are in SI units? b. Find the electric field (magnitude and direction) in the following regions: i. 0<r <a ii. a <r<b iii. b <r < C iv. r>c P 240 dols pa² + 2+ (c-b) 2 805 α 12 == r P 1, E = f f r 24 +ô E = Pa² + 2x (r-b) 28or tr
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