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 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
magnitud

Answer 1

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

Answer 2

b. (lambda)outer = 3 (lambda)

Answer 3

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

Answer 4

for Q a... Gaussian surface is the middle circle...which passes through the hollow cylinder..and inside a meta E=0, So fro gauss law...E. A = (charge density)/ epsilon(0)