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 λ, and the cylinder has a net charge per unit length of 2λ. From this information, use Gauss's law to find the following:

(Use any variable or symbol stated above along with the following as necessary: ε0 and π.)

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

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

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

Question

Physics

Adrienne

4 April, 09:57

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 λ, and the cylinder has a net charge per unit length of 2λ. From this information, use Gauss's law to find the following:

(Use any variable or symbol stated above along with the following as necessary: ε0 and π.)

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

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

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

+2

Answers (2)

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Aditya Rhodes · Answer 1

Based on your question a long straight wire is surrounded by a narrow metal cylinder whose axis coincides with that of the wire. The possible answer are the following:

A. - (lambda) per unit length of the inner surface of the cylinder

B. (lambda) outer = 3 (lambda)

C. E = 3 (lambda) / (4 pi epsilon (0) r^2)

Randall Wong · Answer 2

A. - (lambda) per unit length of the inner surface of the cylinder b. (lambda) outer = 3 (lambda)

c. E = 3 (lambda) / (4 pi epsilon (0) r^2)