5.5 Exercise 17

Charge is distributed along the entire x-axis with uniform density $\lambda_{x}$ and along the entire y-axis with uniform density $\lambda_{y} .$ Calculate the resulting electric field at (a) $\overset{\rightarrow}{\text{r}} = a \hat{\text{i}} + b \hat{\text{j}}$ and (b) $\overset{\rightarrow}{\text{r}} = c \hat{\text{k}} .$