Part A

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 $E=\frac{}{2}lo{n}_{0}r.$ Consider an imaginary cylinder with a radius of $r=0\mathrm{.}245m$ and a length of $l=0\mathrm{.}500m$ that has an infinite line of positive charge running along its axis. The charge per unit length on the line is $=5\mathrm{.}30\frac{C}{m}.$

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.

$=$

$N*\frac{m^2}{C}$

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Part B

What is the flux through the cylinder if its radius is increased to $r=0\mathrm{.}545m?$

Express your answer in newton times meters squared per coulomb.

$=$

$N*\frac{m^2}{C}$

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Part C

What is the flux through the cylinder if its length is increased to $l=0\mathrm{.}950m?$

Express your answer in newton times meters squared per coulomb.