Two thin conducting plates (very large) parallel to each other carrying total charges σA and -2σ A respectively (where A is the area of each plate), are placed in a uniform external electric field E as shown. Find the charge on inner surface of first plate.

Options

• Option A

  $\left\lbrack\frac{3\sigma+2\varepsilon_{\omicron}E}{2}\right\rbrack A$

• Option B

  $\left\lbrack\frac{2\sigma+2\varepsilon_{\omicron}E}{3}\right\rbrack A$

• Option C

  $\left\lbrack\frac{2\sigma+3\varepsilon_{\omicron}E}{3}\right\rbrack A$

• Option D

  $\left\lbrack\frac{2\sigma+3\varepsilon_{\omicron}E}{4}\right\rbrack A$