A parallel plate capacitor has plate area $A$ and separation $d$. It is charged to a potential difference $V_o$. The charging battery is disconnected and the plates are pulled apart to three times the initial separation. The work required to separate the plates is

  • A

    $\frac{{3{\varepsilon _0}AV_0^2}}{d}$

  • B

    $\frac{{{\varepsilon _0}AV_0^2}}{{2d}}$

  • C

    $\frac{{{\varepsilon _0}AV_0^2}}{{3d}}$

  • D

    $\frac{{{\varepsilon _0}AV_0^2}}{d}$

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