Two identical pates `P_(1)` and `P_(2)` of cross sectional area `A` are separated at a very small disance, `d`, where `(epsilon_(0)A)/d=2-SI` unit. Initially charge on the plate `P_(1)` is `-10C` and charge on the plate `P_(2)` is `+30C`. 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)

Options

A. The work done by the battery is `200J`
B. The net charge on the plate `P_(2)` is `-10C`
C. The charge on the left side of the plate `P_(1)` is `10C`
D. The charge on the right side of the plate `P_(2)` is `20C`

Answer

B, C

Explanation

When switches are not closed
`q/(aepsilon_(0)xxd=10`
`impliesq=10xx(Aepsilon_(0))/d=20C`
`Q=20+20=40C`
`W_(B)=(20+20)10=400J`