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 ?inner = IS NOT 0!!!!!!!!!!!!!!!!!!! (c) the electric field outside the cylinder a distance r from the axis magnitude E = IS NOT 3lambda/2pi(epsilon0)

Explanation / Answer

FOLLOW THIS (a) 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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