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

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

Similar Questions

A $60\; pF$ capacitor is fully charged by a $20\; \mathrm{V}$ supply. It is then disconnected from the supply and is connected to another uncharged $60 \;pF$ capactior is parallel. The electrostatic energy that is lost in this process by the time the charge is redistributed between them is (in $nJ$)

  • [JEE MAIN 2020]

If the plates of a parallel plate capacitor connected to a battery are moved close to each other, then

$A$. the charge stored in it, increases.

$B$. the energy stored in it, decreases.

$C$. its capacitance increases.

$D$. the ratio of charge to its potential remains the same.

$E$. the product of charge and voltage increases.

Choose the most appropriate answer from the options given below:

  • [NEET 2024]

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