1. The region $z -d$. b) Show that the induced per unit length charge on the $x sim z$ plane along the $y$ axis equals

1. The region $z<-d$ is filled with a perfect electric conductor. An infinite line charge with density $ ho_r$ is located on the $\mathrm{y}$-axis and parallel to the $\mathrm{x}-\mathrm{z}$ plane. a) Find the electric field for $z>-d$. b) Show that the induced per unit length charge on the $x \sim z$ plane along the $y$ axis equals $- ho_l$