(Solved): Consider the long, hollow cylinder shown below. It has an outer radius of \( R_{o}=4 \mathrm{~cm} ...

Consider the long, hollow cylinder shown below. It has an outer radius of \( R_{o}=4 \mathrm{~cm} \) and an inner radius of \( R_{i}=0.5 \mathrm{~cm} \). The hollow cylinder is an insulator that is uniformly charged throughout its volume with a charge density \( 1.2 \mu \mathrm{C} / \mathrm{m}^{3} \). What is the magnitude of the electric field inside the insulator at a distance \( R_{i}<2 \mathrm{~cm}< \) \( R_{0} \) from the axis? The permittivity of free space is \( 8.8542 \times 10^{-12} \mathrm{C}^{2} / \mathrm{N} \cdot \mathrm{m}^{2} \) and the volume of a cylinder with radius \( r \) and length \( \ell \) is \( V=\pi r^{2} \ell \). Answer in units of \( \mathrm{N} / \mathrm{C} \).