It was shown in Example $21\mathrm{.}11($Section $21\mathrm{.}5)$ in the textbook that the electric field due to an infinite line of charge is perpendicular to the line and has magnitude E$=\backslash$lambda $/2\backslash$pi $0$r

$.$ Consider an imaginary cylinder with a radius of r

$=0\mathrm{.}135$ m

and a length of l

$=0\mathrm{.}410$ m

that has an infinite line of positive charge running along its axis. The charge per unit length on the line is $\backslash$lambda

$=5\mathrm{.}10\backslash$mu C$/$m

$.$

Part A

What is the electric flux through the cylinder due to this infinite line of charge?

Express your answer in newton times meters squared per coulomb.

Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type

$\backslash$Phi

$=$

nothing

N$$m$2/$C

Request Answer

Part B

What is the flux through the cylinder if its radius is increased to r$=$

$0\mathrm{.}565$ m

$?$

Express your answer in newton times meters squared per coulomb.

Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type

$\backslash$Phi

$=$

nothing

N$$m$2/$C

Request Answer

Part C

What is the flux through the cylinder if its length is increased to l$=$

$0\mathrm{.}815$ m

$?$

Express your answer in newton times meters squared per coulomb.

Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type

$\backslash$Phi

$=$

nothing

N$$m$2/$C