A large non-conducting plate of thickness  $t\left(t\to 0\right)$  is placed normal to an external electric field. Electric field on the left and right hand side of this plate is found to be  $E_{1}and E_2$  respectively as shown in figure. Choose the correct option(s).

If  external electric field is switched off then new electric field on the either side of this plate will be $\frac{(E_2-E_1)}{2}$.

Total force on this plate will be $\left(\frac{A{\epsilon }_0}{2}\right)(E_2^2-E_1^2),$  if A is area of the plate.

If A is the area of this large plate then total charge on this plate is A  ${\epsilon }_0(E_2-E_1)$.

Direction of external electric field in absence of the plate must be along the direction of  $E_{1}and{E}_2$  as shown.