A parallel plate capacitor has plates of area A and separation d and is charged to a potential difference V. The charging battery is then disconnected, and the plates are pulled apart until their separation is 2d.
Which of the following statements is/are true?1
The new potential difference is 2V
2
The initial stored energy is \(\frac{{{\varepsilon _0}A}}{{2d}}{V^2}\)
3
The final stored energy is \(\frac{{{\varepsilon _0}A}}{d}{V^2}\)
4
The work required to separate the plates is \(\frac{{{\varepsilon _0}A}}{d}{V^2}\)