Two dielectric slabs are slid side by side into the gap of a capacitor, as in the figure. Its plates, of area $200\ \text{cm}^2$, are $4.0\ \text{mm}$ apart, and they are kept at $100\ \text{V}$ by a battery throughout. Each slab fills the whole gap from plate to plate over one half of the area. The left slab has dielectric constant $2$, and the right slab $5$. Both slabs touch both plates. Ignore the effects at the edges and where the slabs meet. Take $\varepsilon_0 = 8.85 \times 10^{-12}\ \text{C}^2\,\text{N}^{-1}\,\text{m}^{-2}$. Which of the following statements are correct?

Fig. 1: Side view of two parallel horizontal plates 4.0 mm apart, each of area 200 square centimetres, joined to a 100 V battery, the top plate positive. Two slabs fill the gap side by side, each over half of the area: the left slab has dielectric constant 2 and the right slab has dielectric constant 5.