Two identical plates $P_1$ and $P_2,$ of cross sectional area A are separated at a very small distance d, where $\frac{{\epsilon }_{0}A}{d}=2F.$ Initially charge on the plate $P_1$ is -10 C and charge on the plate $P_2$ is +30 C. Now plate $P_1$ and $P_2$ are connected to positive and negative terminals of battery of potential difference 10 Volts with the help of switches $S_1$ and $S_2$ respectively. Choose the correct option (s) when $S_1\&S_2$ are closed