Two large, flat, parallel metal plates, each of area $400\ \text{cm}^2$, face each other $2.0\ \text{mm}$ apart, as in the figure, with plate 1 on the left and plate 2 on the right. Plate 1 carries a total charge of $+6.0\ \text{nC}$, and plate 2 a total charge of $-2.0\ \text{nC}$. The plates are far from everything else, and they are so close together that the field near them is that of very large sheets. 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: Two large parallel metal plates seen edge on, 2.0 mm apart, each of area 400 square centimetres. Plate 1 on the left carries a total charge of plus 6.0 nanocoulombs and plate 2 on the right a total charge of minus 2.0 nanocoulombs. The gap is drawn wider than to scale.