Static Fields 2024
A charged spiral in the \(x,y\)-plane has 6 turns starting at the origin out to a maximum radius \(R\). The radial distance from the center to a point on the spiral is proportional to \(\phi\). The charge density on the spiral increases linearly as the radial distance from the center increases. At the center of the spiral the linear charge density is
\(0~\frac{\textrm{C}}{\textrm{m}}\). At the end of the spiral, the linear charge
density is \(13~\frac{\textrm{C}}{\textrm{m}}\). What is the total charge on the
spiral?
