[Relating Coulomb's Law, Gauss's Law and Electric Potential]. (a) Using Gauss's Law find the electric field of a coaxial cylinder with radius a (inner most), in between, and in b (outermost) with length 1 where we treat the charge distribution to be a volume charge distribution (Answer: innermost

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6. Problem Solving Part
Problem
- Integrative
[Relating Coulomb's Law, Gauss's Law and Electric Potential]. (a)
Using Gauss's Law find the electric field of a coaxial cylinder with
radius a (inner most), in between, and in b (outermost) with length 1
where we treat the charge distribution to be a volume charge
distribution (Answer: innermost
pr
ρατ
E = ·↑
20", middle, 2€or
outermostĚ). (b) What is the force if we place a
2
charge q at radius R of
the coaxial cylinder? Hint: This is just a direct substitution. Find the
potential using the equation, V=-SE dl. Hint you can set the limits
of integration from 0 to a. Answer:
V = -5
ραζ
4€0
(1+2ln(
In (-))
0=
l
E =
Transcribed Image Text:6. Problem Solving Part Problem - Integrative [Relating Coulomb's Law, Gauss's Law and Electric Potential]. (a) Using Gauss's Law find the electric field of a coaxial cylinder with radius a (inner most), in between, and in b (outermost) with length 1 where we treat the charge distribution to be a volume charge distribution (Answer: innermost pr ρατ E = ·↑ 20", middle, 2€or outermostĚ). (b) What is the force if we place a 2 charge q at radius R of the coaxial cylinder? Hint: This is just a direct substitution. Find the potential using the equation, V=-SE dl. Hint you can set the limits of integration from 0 to a. Answer: V = -5 ραζ 4€0 (1+2ln( In (-)) 0= l E =
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