A parallel plate capacitor has two sections. In these sections, areas of
plates are $A_1$ and $A_2$ and distances between the plates are $d_1$ and $d_2$
respectively. The distances between the plates are much smaller than
their linear dimensions. A uniform electric field E that is perpendicular
to the plates is switched on. Neglecting edge effects, deduce expressions
for the intensities $E_1$ and $E_2$ of electric fields established in both the
sections of the capacitor.