$1.$ Two adjacent $($ideal$)$ parallel plate capacitors with given geometrical dimensions $\backslash ($ l$\_\{1\},$ l$\_\{2\}\backslash )$ and $\backslash ($ h $\backslash ),$ as shown schematically in Fig. $1,$ are employed as a deflection system for the motion of particles of positive charge $\backslash ($ q $\backslash )$ and mass $\backslash ($ m $\backslash ).$ The upper capacitor plates are grounded $($zero potential$)$ while the lower plates can be maintained at desired controlling potentials $\backslash ($ V$\_\{1\}\backslash )$ and $\backslash ($ V$\_\{2\}\backslash ).$ It is observed that the particle entering this system with the horizontal velocity $\backslash ($ v $\backslash )$ at point A $,$ exits the system at point B $,$ continuing to move strictly horizontally but displaced "upward" from the entry point by distance $\backslash ($ d $\backslash ).$ Find such $\backslash ($ V$\_\{1\}\backslash )$ and $\backslash ($ V$\_\{2\}\backslash )($including their polarities$)$ that were used to realize the described deflection effect on the particle in the plane of Fig. $1.$ Gravity effect is negligible.

Higure $1$: illustration tor prodiem $1.$