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

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
(b) the charge per unit length on the outer surface of the cylinder
(c)the electric field outside the cylinder a distance r from the axis
magnitude
E =

Explanation / Answer

Inside the surface: E inside the shell is 0 (zero) so total charge inside the gaussian surface is zero so inside charge/length = -lamda 0 = (lamda)l + q{inside} => -lamda = q{inside} / l outside the surface: total charge is 2 * lamda * l = q{in}+q{out} q{out} = 2*lamda*l+ lamda*l = 3*lamda (b) E =[ 2k{e}(3 lamda) ] / r = 6 k{e} lamda / r = (3*lamda) / ( 2 pi epsilon{0} r) , radially outward

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