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The energy of a parallel plate capacitor...

The energy of a parallel plate capacitor when connected to a battery is E. With the battery still in connection, if the plates of the capacitor are separated so that the distance between them is twice the original distance, then the electrostatic energy becomes

A

2E

B

`E/4`

C

`E/2`

D

4E

Text Solution

Verified by Experts

The correct Answer is:
( c)
`E = 1/2 CV^(2) = 1/2( epsilon_(0)A/d)V^(2)`
If the distance is doubled then
`E' = 1/2 epsilon_(0)A/2d V^(2) = e/2`
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Knowledge Check

  • A parallel plate capacitor of capacity 100 mu F is charged by a battery of 50 volts. The battery remains connected and if the plates of the capacitor are separated so that the distance between them becomes double the original distance, the additional energy given by the battery to the capacitor in joules is

    A
    `62.5 xx 10^(-3)`
    B
    `12.5 xx 10^(-3)`
    C
    `1.25 xx 10^(-3)`
    D
    `0.125 xx 10^(-3)`

  • A parallel plate capacitor of capacity 100 mu F is charged by a battery of 50 V. The battery remains connected and if the plates of the capacitor are separated so that the distance between them becomes double the original distance, the additional energy given by the battery to the capacitor in joule is

    A
    `125/2 xx 10^(-3)`
    B
    `12.5 xx 10^(-3)`
    C
    `1.25 xx 10^(-3)`
    D
    `0.125 xx 10^(-3)`

  • A parallel plate capacitor is charged by connecting it to a battery. The battery is disconnected and the plates of the capacitor are pulled apart to make the separation between the plates twice. Again the capacitor is connected to the battery (with same polarity) then

    A
    Charge from the battery flows into the capacitor after reconnection
    B
    Charge from capacitor flows into the battery after reconnection.
    C
    The potential difference between the plates increases when the plates are pulled apart.
    D
    After reconnection of battery potential difference between the plate will immediately becomes half of the initial potential difference. (Just after disconnecting the battery)

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