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The Electric Field Surrounding a Charged Insulating Cylinder

EANDM-LCE1CZ

Figure 1 depicts a long, charged, insulting cylinder. The radius of the cylinder is equal to $r_1 = 2.00$ cm. A surface charge density of $\sigma_1 = +4.60$ nC/cm$^2$ has been placed on the outer surface of the cylinder.

What is the electric field at a distance of $r_f = 3.20$ cm from the center of the cylinder?

A

$\vec{E} = 5.19 \times 10^6$ $\hat{r}$ N/C.

B

$\vec{E} = 3.25 \times 10^6$ $\hat{r}$ N/C.

C

$\vec{E} = 25.9$ $\hat{r}$ N/C.

D

$\vec{E} = 2.59 \times 10^7$ $\hat{r}$ N/C.