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A long, straight wire is surrounded by a hollow metal cylinder whose axis coinci

ID: 1902048 • Letter: A

Question

A long, straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the wire. The wire has a charge per unit length of ?, and the cylinder has a net charge per unit length of 2?. From this information, use Gauss's law to find the following. (Use any variable or symbol stated above along with the following as necessary: ?0 and ?.) (a) the charge per unit length on the inner surface of the cylinder
?inner = 1

(b) the charge per unit length on the outer surface of the cylinder
?outer = 2

(c) the electric field outside the cylinder a distance r from the axis
magnitude E = 3 (a) the charge per unit length on the inner surface of the cylinder
?inner = 1

(b) the charge per unit length on the outer surface of the cylinder
?outer = 2

(c) the electric field outside the cylinder a distance r from the axis
magnitude E = 3 1 2 3 magnitude E = 3

Explanation / Answer

(a) the charge per unit length on the inner surface of the cylinder
inner = -

(b) the charge per unit length on the outer surface of the cylinder
outer = 3

(c) the electric field outside the cylinder a distance r from the axis

magnitude E = 3/2r0
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