Problem $2$:

$-($a$)$ Before solving the problem below, make a rough sketch predicting the streamlines $($path of a particle$)$ from high $\backslash (\backslash$Phi $\backslash )$ to low $\backslash (\backslash$Phi $\backslash ).$

$-($b$)$ solve the problem for $\backslash (\backslash$Phi $\backslash ).$ Hint: The answer to this problem reduces down to something simple $($as your sketched streamlines might indicate$).$ Feel free to adjust your sketch in $($a$)$ if the answer in $($b$)$ gives you reason to do so$.$